1.8 MICROCOPY RESOLUTION TEST CHART. N1 N-1 Pl[PFAVl. 'AW~RQ A
|
|
- Luke Morgan
- 5 years ago
- Views:
Transcription
1 "AD-6AiS 778 RESISTANCE CURVES FOR CRACK GROWTH UNDER LANE-STRESS i/i CONDITIONS IN AN EL..(U) NORTHWESTERN UNIV EVANSTON IL STRUCTURAL MECHANICS LAB J D ACHENBACH ET AL. JAN 85 UNCLASSIFIED NU-SML-TR-85-1,4-76-C-0063 N. F/6 20/11 NL Iso llioll
2 * LA 1.8 MICROCOY RESOLUTION TEST CHART N1 N-1 l[favl. 'AW~RQ A
3 RESISTANCE CURVES FOR CRACK GROWTH UNDER LANE-STRESS CONDITIONS IN AN ELASTIC ERFECTLY-LASTIC MATERIAL Lf J.D. Achenbach and Z.L. Li Department of Avil Engineering Northwestern University Evanston, IL Office of Naval Research N C-0063 L4i January NU-SML-TR-No Approved for public release; distribution unlimited,0o "-" % t ' m. "% -. ", "-. "-"- ", "*,,, ',. ' -%. -" -".. -", './ -. '".." -... o " %
4 // / 7 Abstract )A recently developed solution for the plastic strain, (x,t), on y the crack line is used in conjunction with a critical strain criterion tconstruct curves for K(a) versus a, where a is the increase in crack length. Resistance curves have been computed for various values of the critical plastic strain. They show a monotonic increase of K(a) with increase in crack length, to a constant steady-state value. / D TIC Co Y INSECTED
5 1_-VI 1. Introduction For small-scale yielding, the condition for continued crack advance may be written as K = KR(a), (1.1) where K on the left-hand side is regarded as the "applied" K, and a in K(a) is the increase in crack length. The curve of KR(a) versus a is called the resistance curve or R-curve. Under plane stress conditions, KR(a) tends to be a monotonically increasing function of a, at least for many metals. Following the notation of Ref.[l,p.20], we will use KC to denote the value of K for initiation of crack propagation, i.e., C = K R(O). In this paper we consider a general geometry such as an edge crack in a thin sheet, and we construct resistance curves. These curves are based on a critical strain criterion for crack propagation, which stipulates that crack growth will proceed when the plastic strain on the crack line maintains f a critical strain level e at a distance xf ahead of the crack tip. The y critical strain criterion was proposed by McClintock and Irwin [2] and it has been used frequently for the Mode-Ill case. Rice [3,p.281] presented an expression for the plastic shear strain on the crack line for Mode-Ill crack propagation in an elastic perfectly-plastic material. It was also shown in Ref.[3] that the fracture criterion of critical plastic shear strain leads to an integral equation for the plastic zone size required for quasi-static crack extension. 4,
6 U 2 The construction of curves for KR(a)/KIC presented in this paper for plane stress, follows in general outline the method of Ref.[3]. The construction is based on an expression for the crack-line strain which was recently presented by Achenbach and Dunayevsky [4] and Achenbach and Li [5]. As shown in some detail in Ref.[5], in the plastic loading zone the stresses and strains can be expanded in powers of the distance, y, to the crack line. Substitution of the expansions into the equilibrium equations, the yield condition and the constitutive equations, yields a system of simple ordinary differential equations for the coefficients of the expansions. This system is solvable if it is assumed that the stress a is uniform on the crack line. y By matching the relevant stress components and particle velocities to the dominant terms of appropriate elastic fields at the elastic-plastic boundary, a complete solution was obtained for the plastic strain, E, in the plane of y the crack. The solution depends on position on the crack-line and time, and applies from the propagating crack tip up to the moving elastic-plastic boundary. It is shown in this paper that the critical strain criterion yields an integral equation for x (a), where x (a) is the extent of the plastic p p zone on the crack line as a function of the increase in crack length. The integral equation has been solved numerically for various values of Ef /(y)b, where (cy)b is the crack-line strain at the elastic-plastic boundary. A relation between K and x (a) subsequently p
7 S p 3 yields resistance curves KR(a). The geometry is shown in Fig. 1. The x 3 -axis of a stationary coordinate system is parallel to the crack front, and x 1 points in the direction of crack growth. The position of the crack tip is defined by x I = a(t). A moving coordinate system, x,y,z, is centered at the crack tip, with its axes parallel to the xlx 2 and x 3 axes. 2-.
8 4 2. Crack-Line Strain For monotonic loading, expressions for the strain rate y(xlt), on the crack line ahead of a propagating crack tip, are given in Refs. [ 4] and [5] as E. 2&(t) x (t) B A(t)+B 2 p (t) C 1 (t)+c 2 kp (t) y (la(t 9n I[x 1 -a(t)] 2, (2.1) ka1 x-a (t) x (t) p where x 1 defines the point of observation in the stationary coordinate system, while a(t) defines the position of the crack tip and x (t) is the size of the plas- tic zone along the crack line. Also, k is the yield stress in shear, E is Young's modulus, and the constants B 1, B C and C have been derived in Ref.[ 4] as B I - 8(l+)[(K + 5) + 2(K + 1)V-2] -4 (2.2) B2.i(l+V)[(K + 5) + (K + )/22.3) C I - l(l+v)[-(k + 5) + (K + 1)V2] + 2 (2.4) C2.l(l+)[-(K + 5) + 2(K + i)v2],(2.5) where v is oisson's ratio and K is defined as (3-v)/(l+v). In the stationary coordinate system, (2.1) can be integrated to yield cy(xlt) - (Ey) + E (xlt), (2.6) yly B where (ey)b is the elastic strain at the elastic - plastic boundary: k (e k(2-v) ' (2.7) yb E 2.7)
9 5 e(xlt) is the plastic strain t Ey(Xt) = f [y(xl,s)ds (2.8) y t p The lower limit t, which is the time that the elastic-plastic boundary reaches position x I and the plastic strain starts to accumulate, follows from a(t p) + x p(tp) = x (2.9) By integration by parts of the terms multiplying B 2 and C 2, E(xlt) can be separated into two components: where t E(xl 1 t) = se[ x l t)] +, (xls)ds, (2.10) t E s 1 C d- -1) (2.11) k y [EYx 1 st)] = B 2 ( - I ) 2 2 g(xlt) = x (t)/[xl-a(t)], (2.12) and E= ((s) f[x-a(s),x (s) ] (2.13) kyl 1 p 1 C 1 f[xl-a(s),x p(s)] = x 1 -a(s) {2ing(xl's) + BI-B 2 E(xls) + 1(XlS)], 2 (2.14)
10 6 Here we have used (2.9) at the lower limits of integration of Eq.(2.8). The lower limit t in (2.10) is defined as t = tf for tf > t p, where tf is the time that crack propagation starts. When tp > tf, the lower limit is defined as t = t p We will now assume that crack propagation is governed by the criterion of a critical plastic strain at a fixed micro-structural distance xf ahead of the crack tip, i.e., at x = a(t) + xf* The condition for stable crack propagation then is f where E y t E = E [xp(t)/xf] + f [a(t) + xf~si ds, (2.15) t is the critical value of the plastic strain, and the right-hand side follows from (2.10). Equation (2.15) is an equation for x p(t). For the case tf < t, the integral in (2.15) vanishes when the upper limit is taken as t = tf, and the following equation for xp(tf) is obtained B 2 1 E f] (t ) 1 = 0 (2.16) xf p (tf) [ C 2 - B 2 - E I p f 2 2 xf A convenient form of (2.15) can be obtained by replacing the independent variable t by crack length a. Thus we consider the strain as well as the position of the elastic-plastic boundary as functions of a. After introducing the normalizations a a/xf, xp(a) = Xp [t(a)]/xf, (2.17a,b) we can write....
11 7 a f s [x(a)] + f f [a + l-n,x p(n)]dn (2.18) a where f[a n,x (n)] a [2 n + B - B 2 +C_ (2.19) p a---i1 2 3 C2 = Xp (n)/(a r) (2.20) The lower limit a in Eq.(2.18) is defined by and a =0, when a + 1 < x (0) (2.21) -p a + x (a) = a + 1, when x (0) < a + 1, (2.22) where x (0) = x p(t f)xf Equation (2.21) corresponds to tf > t, while (2.22) corresponds to tf < t p Equation (2.18) is a Volterra integral equation for x (a), which can be solved by a step-by-step procedure. If x (a), is known for 0 < a < a I < xp(0) - 1, then for a = a 1 + A < x (0) - 1, Eq.(2.18) yields [(a 1+A) - f f[a 1 +A+l-nx (n)]dn (2.23) 0 where A is small. The integral in (2.21) can be approximated by a+a a 1 f al ++l-rxp(n)]dn f f[a 1 +A+l-n,x r(n)]dn + f(a 1 +A+l-n,x p(a)]a (2.24) 0 0 The integral on the right-hand-side of (2.24) is known. Substitution of (2.24) in (2.23) yields a cubic equation for x (a 1 +A), which can be solved. This value for xp(al+a) is used as the starting point for an iteration procedure whereby subsequent values of x (a 1 +A) are substituted in the integral in '....
12 Eq.(2.21) to yield improved values of x (a 1 -+A), until a desired accuracy has been achieved. For the first step in this procedure we use x (A) x (0) + x'(o)a, where x (0) follows from (2.16), and p p p p x'(0) = dx (a)/da at a = 0, can be obtained from (2.18). p p For the case when x (0) - 1 < a, defined by (2.22), the lower limit of p the integral is a function of the upper limit, a, and of the unknown function x p(a). Again, if x p(a) is known for a < a then for a = a 1 + A, Eq. (2.22) * - * -- * yields a + x (a) = a + A + 1, where x (a) is known since a < a Hence we can solve a = a (ala). Using an analogous method as before, Eq.(2.18) can subsequently be solved for x (a +A). p In the actual computations the following values of the relevant parameters have been considered: f _pf S= /(cy ) = 2, 6,and 10 (2.25) y y y B The oisson's ratio was taken as v = 0.3. For a = 0, the value of x (0) follows directly by computation of the real root of Eq.(2.16), since x (0) = x (tf)/xf. The numerical results show a subsequent increase of x (a) with a, where x (a) approaches an asymptotic value for large a. p 'p For quasi-static steady-state crack extension the following relation was derived by Achenbach and Li [5]: k I 1 3 e (x) Zn B 1 Zn () - S [(-) - 1i]} (2.26) p p p The critical strain criterion then yields the relation - [n [O./ -1] = 0 (2.27) KYp 1 np 3 p
13 9 Equation (2.27) can be solved for x to yield a result which is independent of crack-tip speed and loading state. This result is just the asymptotic value of x (a) as a increases. p A convenient form of the resistance curve shows the ratio K IK versus a dimensionless crack length. Here K I is the present stress intensity factor, and KC is the value of the stress intensity factor which is required to satisfy the fracture criterion for a stationary crack. In Ref.[5, Eq.57] an expression was presented which relates x (t) to KI/k. In the present notation this expression states 2/ x (a) - p 9 r x f [K (a)/k] 2 (2.28) It follows that K(a)/KIc = C(a)/Kic = [x p(a)/x p(0)] (2.29) The quantity xf which enters in a, can be eliminated by equating the result for x (0) obtained from (2.16) to x (0) as obtained from (2.28). By using the resulting expression for xf in the definition of a, as given by (2.17a), we find - a 9ra x p(0) a = - = - - (2.30) xf 2/2 [K i/k] f For the three values of c given by Eq.(2.25), curves for K(a)/KIc y versus a are shown in Fig. 2. It is noted that the resistance curves show a monotonic increase with increase in crack length, to a stable phase of crack propagation where KR(a)/KIC assumes the steady-state value. -- ",. J-
14 10 Acknowledgment This paper was written in the ccurseof research sponsored by the Office of Naval Research (Contract No. N C References [1] J. W. Hutchinson, Nonlinear Fracture Mechanics, Department of Solid Mechanics, The Technical University of Denmark, [2] F. A. McClintock and G. R. Irwin, lasticity aspects of fracture mechanics. In Fracture Toughness Testing and its Applications, ASTM ST 381, American Society of Testing Materials, hiladelphia (1965). [3] J. R. Rice, Mathematical analysis in the mechanics of fracture. In Fracture: An Advanced Treatise (Edited by H. Liebowitz) Vol. II, pp , Academic ress, New York (1968). [4] J. D. Achenbach and V. Dunayevsky, Crack growth under plane stress conditions in an elastic perfectly-plastic material. J. Mech. hys. Solids 32, (1984). [5] J. D. Achenbach and Z. L. Li, lane stress crack-line fields for crack growth in an elastic perfectly-plastic material. J. Engineering Fracture Mech., in press.
15 1 X 2 yj X 1 *. _ X a t) Xp(t) Fig. 1. Geometry of propagating crack; a(t) is increase in crack length; x = x (t) defines the elastic-plastic p boundary. - 9 U' O...
16 ),- co. It ICU 7 0 (0 I o x 0 _ I ca ;U) I ~~ 02~ ca n4 ;.I- cc., o %, o...,% * "
17 *: Unclassified SECURITY CLASSIFICATION OF THIS AGE (*%en Data.Entered)_ 13 BEFORE COMLETING FORM READ [NSTRUCTIONS REORT DOCUMENTA:TION AGE BFR OEiGFR r I. REORT NUMBER 2. GOVT ACCESSION NO. 3. RECIIENT'S CATALOG NUMBER L" ". NU-SML-85-1 " 4. TITLE (amd Subtitle) S. TYE OF REORT & ERIOD COVERED Resistance Curves for Crack Growth under Interim lane-stress Conditions in an Elastic erfectly-lastic Material 6. ERFORMING 01G. REORT NUMBER 7. AUTHOR(s) S. CONTRACT OR GRANT NUMBER(s) J. D. Achenbach and Z. L. Li NOOO C ERFORMING ORGANIZATION NAME AND ADDRESS 10. ROGRAM ELEMENT. ROJECT. TASK AREA & WORK UNIT NUMBERS Northwestern University, Evanston, IL CONTROLLING OFFICE NAME AND ADDRESS 12. REORT DATE Office of Naval Research January 1985 Structural Mechanics rogram 13. NUMBER OF AGES Department of the Navy, Arlington, VA I4. MONITORING AGENCY NAME & ADDRESS(I1 dlfferent from Controlling Office) IS. SECURITY CLASS. (of thli report) Unclassified ISa. DECL ASSI FI CATION/ DOWN GRADI NG SCHEDULE 16. DISTRIBUTION STATEMENT (of this Report) Approved for public release; distribution unlimited. 17. DISTRIBUTION STATEMENT (of the abstract entered In Block 20, It different from Repot) IS. SULEMENTARY NOTES to be published in Engineering Fracture Mechanics 19. KEY WORDS (Continue on reverse aide it necesasy and identify by block number) crack growth Mode I plane stress perfect plasticity strain field 20. ABSTRACT (Continue on rovers& aide It neceeuui and Identify by block nmb*er) A recently developed solution for the plastic strain, e(x,t), on the y crack line is used in conjunction with a critical strain criterion to construct curves for KR(a) versus a, where a is the incr'ase in crack length. Resistance curves have been computed for various values of the critical plastic strain. They show a monotonic increase of K (a) with increase in crack length, to a constant steady-state value. DD I F 2 N! EDITION O I NOV 65 IS OBSOLETE Unclassified SECURITY CL.ASSIFICATION OF THIS MAGE (When Data Entered)
18 FILMED, In j ~ ~ ~ ~ '. 4,, -.- -,-, , ,,...,. - '
A STUDY OF SEQUENTIAL PROCEDURES FOR ESTIMATING. J. Carroll* Md Robert Smith. University of North Carolina at Chapel Hill.
A STUDY OF SEQUENTIAL PROCEDURES FOR ESTIMATING THE LARGEST OF THREE NORMAL t4eans Ra~nond by J. Carroll* Md Robert Smith University of North Carolina at Chapel Hill -e Abstract We study the problem of
More informationA0A TEXAS UNIV AT AUSTIN DEPT OF CHEMISTRY F/G 7/5 PHOTOASSISTED WATER-GAS SHIFT REACTION ON PLATINIZED T7TANIAI T--ETCIUI
AA113 878 TEXAS UNIV AT AUSTIN DEPT OF CHEMISTRY F/G 7/5 PHOTOASSISTED WATER-GAS SHIFT REACTION ON PLATINIZED T7TANIAI T--ETCIUI APR 82 S FANG. 8 CHEN..J M WHITE N14-75-C-922 UNCLASSIFIED NL OFFICE OF
More informationCRACK-TIP DIFFRACTION IN A TRANSVERSELY ISOTROPIC SOLID. A.N. Norris and J.D. Achenbach
CRACK-TIP DIFFRACTION IN A TRANSVERSELY ISOTROPIC SOLID A.N. Norris and J.D. Achenbach The Technological Institute Northwestern University Evanston, IL 60201 ABSTRACT Crack diffraction in a transversely
More informationTopics in Ship Structures
Topics in Ship Structures 8 Elastic-lastic Fracture Mechanics Reference : Fracture Mechanics by T.L. Anderson Lecture Note of Eindhoven University of Technology 17. 1 by Jang, Beom Seon Oen INteractive
More informationUNCLASSIFIED SUDAMAO3 NL
AD.A... 857 STANFORD UNIV CA DIV OF APPLIED MECHANICS FIG 12/1 OMATCHED ASYMPTOTIC EXPANSIONS AND THE CALCULUS OF VAR IATIONS-ETC(U) JUN So H PASI C, A HERRMANN No 001 476C-0054 UNCLASSIFIED SUDAMAO3 NL
More informationUN MADISON MATHEMSTICS RESEARCH CENTER A P SUMS UNCLASSIFIE FER4 MONSRR2648 DAAG29-0C04 RDr C91 04
7 AD-A141 509 A NOTE ON EQUALT IN ANDERSON'S THEOREM(UA WISCONSIN 1/1 UN MADISON MATHEMSTICS RESEARCH CENTER A P SUMS UNCLASSIFIE FER4 MONSRR2648 DAAG29-0C04 RDr C91 04 ANA FS 7 1 3 III8 1.2. IlI.25iiI.
More informationI I ! MICROCOPY RESOLUTION TEST CHART NATIONAL BUREAU OF STANDARDS-1963-A
, D-Ri33 816 ENERGETIC ION BERM PLASMA INTERRCTIONS(U) PRINCETON / UNIV N J PLASMA PHYSICS LAB R MI KULSRUD 30 JUN 83 UNCLSSIFEDAFOSR-TR-83-0816 AFOSR-81-0106F/209 N EEEEONEE"_ I I 11111.!2 1.1. IL MICROCOPY
More informationSaL1a. fa/ SLECTE '1~AIR FORCE GECOPNYSICS LABORATORY AIR FORCE SYSTEMS COMMAND AFGL-TH
AD-Alla 950 BOSTON COLL CHESTNUT HILL MA DEPT OF PHYSICS FB2/ '5 PARTICLE TRAJECTORIES IN A MODEL ELECTRIC FIELD II.CU) DEC SI P CARINI. 6 KALMAN, Y SHIMA F19628-79-C-0031 UNCLASSIFIED SCIENTIFIC-2 AFGL-TR-B2-0149
More information.IEEEEEEIIEII. fflllffo. I ll, 7 AO-AO CALIFORNIA UN IV BERKELEY OPERATIONS RESEARCH CENTER FIG 12/1
7 AO-AO95 140 CALIFORNIA UN IV BERKELEY OPERATIONS RESEARCH CENTER FIG 12/1.IEEEEEEIIEII AVAILABILITY OF SERIES SYSTEMS WITH COMPONENTS SUBJECT TO VARIO--ETC(U) JUN 80 Z S KHALIL AFOSR-77-3179 UNCLASSIFIED
More informationExample-3. Title. Description. Cylindrical Hole in an Infinite Mohr-Coulomb Medium
Example-3 Title Cylindrical Hole in an Infinite Mohr-Coulomb Medium Description The problem concerns the determination of stresses and displacements for the case of a cylindrical hole in an infinite elasto-plastic
More informationFracture mechanics fundamentals. Stress at a notch Stress at a crack Stress intensity factors Fracture mechanics based design
Fracture mechanics fundamentals Stress at a notch Stress at a crack Stress intensity factors Fracture mechanics based design Failure modes Failure can occur in a number of modes: - plastic deformation
More informationFracture Mechanics, Damage and Fatigue Linear Elastic Fracture Mechanics - Energetic Approach
University of Liège Aerospace & Mechanical Engineering Fracture Mechanics, Damage and Fatigue Linear Elastic Fracture Mechanics - Energetic Approach Ludovic Noels Computational & Multiscale Mechanics of
More informationElastic-Plastic Fracture Mechanics. Professor S. Suresh
Elastic-Plastic Fracture Mechanics Professor S. Suresh Elastic Plastic Fracture Previously, we have analyzed problems in which the plastic zone was small compared to the specimen dimensions (small scale
More informationEEEE~hEEI ISEP 78 E L REISS NO0O14-76.C-0010 AO-A NEW YORK UNIV NYTECOURANT INST OF NATNENATICAI. SCIENCES F/6 20/1
k I AO-A092 062 NEW YORK UNIV NYTECOURANT INST OF NATNENATICAI. SCIENCES F/6 20/1 PROPAGATION, SCTTERING, AND REFLECTION OF WAVES IN CONTINUOUS -- ETCCU) ISEP 78 E L REISS NO0O14-76.C-0010 UNCLASSIFIlED
More information-R SHEAR STRESS-STRAIN RELATION OBTAINED FROM TORSIE-TNIST 1/1 DATA(U CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED..
-R165 596 SHEAR STRESS-STRAIN RELATION OBTAINED FROM TORSIE-TNIST 1/1 DATA(U CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED.. S 9 BATDORF ET AL. 61 JAN 6 UNCLASSIFIED UCLA-ENG-96-41 NOS64-85-K-9667
More informationTHE OBSERVED HAZARD AND MULTICONPONENT SYSTEMS. (U) JAN 80 M BROWN- S M R OSS N0001R77-C I~OREE80-1 he UNCLASSIFIED CA-
THE OBSERVED HAZARD AND MULTICONPONENT SYSTEMS. (U) JAN 80 M BROWN- S M R OSS N0001R77-C-0299 I~OREE80-1 he UNCLASSIFIED CA- Hf - 3I 2~? IRO.25 1UONT. 11111.8 MICROCOPY RESOLUTION TEST CHART (Q ORC 80-1
More informationFE FORMULATIONS FOR PLASTICITY
G These slides are designed based on the book: Finite Elements in Plasticity Theory and Practice, D.R.J. Owen and E. Hinton, 1970, Pineridge Press Ltd., Swansea, UK. 1 Course Content: A INTRODUCTION AND
More informationRD-R14i 390 A LIMIT THEOREM ON CHARACTERISTIC FUNCTIONS VIA RN ini EXTREMAL PRINCIPLE(U) TEXAS UNIV AT AUSTIN CENTER FOR CYBERNETIC STUDIES A BEN-TAL
RD-R14i 390 A LIMIT THEOREM ON CHARACTERISTIC FUNCTIONS VIA RN ini EXTREMAL PRINCIPLE(U) TEXAS UNIV AT AUSTIN CENTER FOR CYBERNETIC STUDIES A BEN-TAL DEC 83 CCS-RR-477 UNCLASSIFIED N@884-i-C-236 F/0 2/1
More informationEngineering Solid Mechanics
}} Engineering Solid Mechanics 1 (2013) 1-8 Contents lists available at GrowingScience Engineering Solid Mechanics homepage: www.growingscience.com/esm Impact damage simulation in elastic and viscoelastic
More informationOn characterising fracture resistance in mode-i delamination
9 th International Congress of Croatian Society of Mechanics 18-22 September 2018 Split, Croatia On characterising fracture resistance in mode-i delamination Leo ŠKEC *, Giulio ALFANO +, Gordan JELENIĆ
More informationRATES(U) CALIFORNIA UNIV DAVIS W G HOOVER 91 MAR 85 =AD-RI53491 CONFORNTIONAL AND MECHANICAL PROPERTIES AT HIGH STRAIN II
=AD-RI53491 CONFORNTIONAL AND MECHANICAL PROPERTIES AT HIGH STRAIN II RATES(U) CALIFORNIA UNIV DAVIS W G HOOVER 91 MAR 85 ASFEDM RO-i86iI. 7-EG DRR029-82-K-0022 UNCLASSIFE O O E FIG 28/4 NL 1.0 t--- --
More informationAD-A ROCHESTER UNIV NY GRADUATE SCHOOL OF MANAGEMENT F/B 12/1. j FEB 82.J KEILSON F C-0003 UNCLASSIFIED AFGL-TR NL
AD-A115 793 ROCHESTER UNIV NY GRADUATE SCHOOL OF MANAGEMENT F/B 12/1 F EFFORTS IN MARKOV MODELING OF WEATHER DURATIONS.(U) j FEB 82.J KEILSON F1962980-C-0003 UNCLASSIFIED AFGL-TR-82-0074 NL A'FGL -TR-82-0074
More informationC-) ISUMMARY REPORT LINEAR AND NONLINEAR ULTRASONIC INTERACTIONS ON LIQUID-SOLID BOUNDARIES
AD-AI13 682 GEORGETOWN UF4IV WASHINGTON DC DEPT OF PHYSICS F/G 20/1 LINEAR AND NONLINEAR ULTRASONIC INTERACTIONS OH LIQUID-SOLID 9O--ETC(U) APR 82 A S WATER UNCLASSIFIED SUUS-042-S N0OOIA-78-C-0584 NL
More informationTransactions on Engineering Sciences vol 6, 1994 WIT Press, ISSN
Strain energy release rate calculation from 3-D singularity finite elements M.M. Abdel Wahab, G. de Roeck Department of Civil Engineering, Katholieke Universiteit, Leuven, B-3001 Heverlee, Belgium ABSTRACT
More informationDevelopment and Application of Acoustic Metamaterials with Locally Resonant Microstructures
Development and Application of Acoustic Metamaterials with Locally Resonant Microstructures AFOSR grant #FA9550-10-1-0061 Program manager: Dr. Les Lee PI: C.T. Sun Purdue University West Lafayette, Indiana
More informationNEW METHODOLOGY FOR SIMULATING FRAGMENTATION MUNITIONS
NEW METHODOLOGY FOR SIMULATING FRAGMENTATION MUNITIONS V. Gold, E. Baker *, K. Ng and J. Hirlinger U.S. Army, TACOM-ARDEC, Picatinny Arsenal, NJ *Presented By: Dr. Ernest L. Baker Report Documentation
More informationIMECE CRACK TUNNELING: EFFECT OF STRESS CONSTRAINT
Proceedings of IMECE04 2004 ASME International Mechanical Engineering Congress November 13-20, 2004, Anaheim, California USA IMECE2004-60700 CRACK TUNNELING: EFFECT OF STRESS CONSTRAINT Jianzheng Zuo Department
More informationD-0A092 oil NORTHWESTERN UNIV EVANSTON IL STRUCTURAL MECHANICS LAB F/A 20/11 I AOUNDARY LAYER PHENOMENA IN THE PLASTIC ZONE NEAR A RAPIDLY PRO -ETC
D-0A092 oil NORTHWESTERN UNIV EVANSTON IL STRUCTURAL MECHANICS LAB F/A 20/11 I AOUNDARY LAYER PHENOMENA IN THE PLASTIC ZONE NEAR A RAPIDLY PRO -ETC U).S O AR _T.CT V UUNAYEYSKY. J D ACHENBACH N0AGIA 76-C
More informationInterim Research Performance Report (Monthly) 4. TITLE AND SUBTITLE 5a. CONTRACT NUMBER
REPORT DOCUMENTATION PAGE Form Approved OMB No. 0704-0188 Public reporting burden for this coltection of information is estimated to average 1 hour per response, including the time for reviewing instructions,
More informationStress intensity factor analysis for an interface crack between dissimilar isotropic materials
Stress intensity factor analysis for an interface crack between dissimilar isotropic materials under thermal stress T. Ikeda* & C. T. Sun* I Chemical Engineering Group, Department of Materials Process
More informationUNCLASSIFIED F/S 28/iS NI
AD-R158 6680 POSSIBLE he HRNISMS OF RTOM TRANSFER IN SCANNING / TUNNELING MICROSCOPY(U) CHICAGO UNIV IL JAMES FRANCK INST R GONER JUL 85 N@814-77-C-88:18 UNCLASSIFIED F/S 28/iS NI 11111o 1.0.02 IL25L 1386
More informationMassachusetts Institute of Technology Department of Mechanical Engineering Cambridge, MA 02139
Massachusetts Institute of Technology Department of Mechanical Engineering Cambridge, MA 02139 2.002 Mechanics and Materials II Spring 2004 Laboratory Module No. 6 Fracture Toughness Testing and Residual
More informationDATE ~~~ 6O 300 N1. nbc OF / END FJLIEEO
/ AD AO6O 390 SOUTHERN METHODIST UNIV DALLAS TX DEPT OF OPERATIONS ETC F/G 12/1 APPROXIMATIONS TO THE INVERSE CUMULATIVE NORMAL FUNCTION FOR US ETCH) ) JUL 78 8 W SCHMEISER N00014 77eC Ot,25 UNCLASSIFIED
More informationMICROCOPY RESOLUIION IESI CHARI. NAMfNA[ IC~ ANtn
A0-A107 459 NEW YORK( UNIV NY COURANT INST OF MATHEMATICAL SCIENCE-S F/6 20/11 RESEARCH IN C ONTI NUUM MECANICS- C-30 SIIDNOV 81 F JOHN N5001V76C-130NL CHNCS( UNLASIIE 14"' '2."8 MICROCOPY RESOLUIION IESI
More informationS 7ITERATIVELY REWEIGHTED LEAST SQUARES - ENCYCLOPEDIA ENTRY.(U) FEB 82 D B RUBIN DAAG29-80-C-O0N1 UNCLASSIFIED MRC-TSR-2328
AD-A114 534 WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER F/B 12/1 S 7ITERATIVELY REWEIGHTED LEAST SQUARES - ENCYCLOPEDIA ENTRY.(U) FEB 82 D B RUBIN DAAG29-80-C-O0N1 UNCLASSIFIED MRC-TSR-2328 NL MRC
More informationAdvanced Strength of Materials Prof S. K. Maiti Mechanical Engineering Indian Institute of Technology, Bombay. Lecture 27
Advanced Strength of Materials Prof S. K. Maiti Mechanical Engineering Indian Institute of Technology, Bombay Lecture 27 Last time we considered Griffith theory of brittle fracture, where in it was considered
More informationUNCLASSIFIED U. OF ZOWA81-2 ML.
AD-AO9 626 IONA WNI IONA CITY DEPT OF PH4YSICS AND ASTRONOMY F/6 17/7 AN ANALYTICAL. SOLUTION OF THE TWO STAR SIGHT PROBLEM OF CELESTI-ETC(Ul FEB 81.J A VAN ALLEN N00014-76-C-OO16 UNCLASSIFIED U. OF ZOWA81-2
More informationSMA Bending. Cellular Shape Memory Structures: Experiments & Modeling N. Triantafyllidis (UM), J. Shaw (UM), D. Grummon (MSU)
SMA Bending Report Documentation Page Form Approved OMB No. 0704-0188 Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing
More informationG1RT-CT A. BASIC CONCEPTS F. GUTIÉRREZ-SOLANA S. CICERO J.A. ALVAREZ R. LACALLE W P 6: TRAINING & EDUCATION
A. BASIC CONCEPTS 6 INTRODUCTION The final fracture of structural components is associated with the presence of macro or microstructural defects that affect the stress state due to the loading conditions.
More informationLARGE AMPLITUDE OSCILLATIONS OF A TUBE OF INCOMPRESSIBLE ELASTIC MATERIAL*
71 LARGE AMPLITUDE OSCILLATIONS OF A TUBE OF INCOMPRESSIBLE ELASTIC MATERIAL* BT JAMES K. KNOWLES California Institute of Technology 1. Introduction. In recent years a number of problems have been solved
More informationConstraint effects on crack-tip fields in elasticperfectly
Journal of the Mechanics and Physics of Solids 49 (2001) 363 399 www.elsevier.com/locate/jmps Constraint effects on crack-tip fields in elasticperfectly plastic materials X.K. Zhu, Yuh J. Chao * Department
More informationCrack Tip Plastic Zone under Mode I Loading and the Non-singular T zz -stress
Crack Tip Plastic Zone under Mode Loading and the Non-singular T -stress Yu.G. Matvienko Mechanical Engineering Research nstitute of the Russian Academy of Sciences Email: ygmatvienko@gmail.com Abstract:
More informationME 383S Bryant February 17, 2006 CONTACT. Mechanical interaction of bodies via surfaces
ME 383S Bryant February 17, 2006 CONTACT 1 Mechanical interaction of bodies via surfaces Surfaces must touch Forces press bodies together Size (area) of contact dependent on forces, materials, geometry,
More informationDynamics of Transport and Variability in the Denmark Strait Overflow
Approved for public release; distribution is unlimited. Dynamics of Transport and Variability in the Denmark Strait Overflow by James B. Girton Technical Report APL-UW TR 0103 August 2001 Applied Physics
More informationInitiation de fissure dans les milieux fragiles - Prise en compte des contraintes résiduelles
Initiation de fissure dans les milieux fragiles - Prise en compte des contraintes résiduelles D. Leguillon Institut Jean le Rond d Alembert CNRS/UPMC Paris, France Parvizi, Garrett and Bailey experiments
More informationCOMPRESSIVE EUCICLING CURVES MR SANDWICH PANELS WITH ISOTROPIC FACINGS AND ISOTROPIC OR ORTI1OTROIPIC CORES. No Revised January 1958
SRICULTU RE ROOM I COMPRESSIVE EUCICLING CURVES MR SANDWICH PANELS WITH ISOTROPIC FACINGS AND ISOTROPIC OR ORTI1OTROIPIC CORES No 1854 Revised January 1958 This Report is One of a Series Issued in Cooperation
More information173 ENERGETIC ION BERN-PLASMA INTERACTIONS(U) PRINCETON i/i UNIV N J PLASMA PHYSICS LAB P KULSRUD 09 MAR 84 RFOSR-TR AFOSR
,-AD-A14@ 173 ENERGETIC ION BERN-PLASMA INTERACTIONS(U) PRINCETON i/i UNIV N J PLASMA PHYSICS LAB P KULSRUD 09 MAR 84 RFOSR-TR--84-9228 AFOSR-83-0203 UNCLRSSIFIED F/G 20/9 NL iii LL~ -A M ma -wn STMaRCS1g3-
More informationMixed-Mode Fracture Toughness Determination USING NON-CONVENTIONAL TECHNIQUES
Mixed-Mode Fracture Toughness Determination USING NON-CONVENTIONAL TECHNIQUES IDMEC- Pólo FEUP DEMec - FEUP ESM Virginia Tech motivation fracture modes conventional tests [mode I] conventional tests [mode
More informationEEEJ AA CHICAGO UNIV ILL DEPT OF CHEMISTRY F/6 7/4 ION-ION NEUTRALIZATION PROCESSES AND THEIR CONSEQUENCES. (U)
AA099 05 CHICAGO UNIV ILL DEPT OF CHEMISTRY F/6 7/4 ION-ION NEUTRALIZATION PROCESSES AND THEIR CONSEQUENCES. (U) EEEJ MA Y 81 R S BERRY DAAG29RO0-K-0016 UNCLASSIFIED 880 169451C NL UNCLASS!FIED, SECUI4ITY
More informationCrack Tip Flipping: A New Phenomenon yet to be Resolved in Ductile Plate Tearing
Downloaded from orbit.dtu.dk on: Jan 06, 2019 Crack Tip Flipping: A New Phenomenon yet to be Resolved in Ductile Plate Tearing Nielsen, Kim Lau Published in: Proceedings of the 30th Nordic Seminar on Computational
More informationDiscontinuous Distributions in Mechanics of Materials
Discontinuous Distributions in Mechanics of Materials J.E. Akin, Rice University 1. Introduction The study of the mechanics of materials continues to change slowly. The student needs to learn about software
More informationA report (dated September 20, 2011) on. scientific research carried out under Grant: FA
A report (dated September 20, 2011) on scientific research carried out under Grant: FA2386-10-1-4150 First-principles determination of thermal properties in nano-structured hexagonal solids with doping
More informationTechnical Note
ESD-TR-66-208 Technical Note 1966-31 An Efficient Technique for the Calculation of Velocity-Acceleration Periodograms E. M. Hofstetter 18 May 1966 Lincoln Laboratory ' The work reported in this document
More informationThe Mechanics of Bubble Growth and Rise in Sediments
The Mechanics of Bubble Growth and Rise in Sediments PI: Bernard P. Boudreau Department of Oceanography Dalhousie University Halifax, Nova Scotia B3H 4J1, Canada phone: (902) 494-8895 fax: (902) 494-3877
More informationDEPARTMENT OF THE ARMY WATERWAYS EXPERIMENT STATION. CORPS OF ENGINEERS P. 0. BOX 631 VICKSBURG. MISSISSIPPI 39180
DEPARTMENT OF THE ARMY WATERWAYS EXPERIMENT STATION. CORPS OF ENGINEERS P. 0. BOX 631 VICKSBURG. MISSISSIPPI 39180 IN REPLY REF6R TO: WESYV 31 July 1978 SUBJECT: Transmittal of Technical Report D-78-34
More informationSKIN-STRINGER DEBONDING AND DELAMINATION ANALYSIS IN COMPOSITE STIFFENED SHELLS
SKIN-STRINER DEBONDIN AND DELAMINATION ANALYSIS IN COMPOSITE STIFFENED SHELLS R. Rikards, K. Kalnins & O. Ozolinsh Institute of Materials and Structures, Riga Technical University, Riga 1658, Latvia ABSTRACT
More informationULTRASONIC REFLECTION BY A PLANAR DISTRIBUTION OF SURFACE BREAKING CRACKS
ULTRASONIC REFLECTION BY A PLANAR DISTRIBUTION OF SURFACE BREAKING CRACKS A. S. Cheng Center for QEFP, Northwestern University Evanston, IL 60208-3020 INTRODUCTION A number of researchers have demonstrated
More informationVolume 6 Water Surface Profiles
A United States Contribution to the International Hydrological Decade HEC-IHD-0600 Hydrologic Engineering Methods For Water Resources Development Volume 6 Water Surface Profiles July 1975 Approved for
More informationThe Effects of Transverse Shear on the Delamination of Edge-Notch Flexure and 3-Point Bend Geometries
The Effects of Transverse Shear on the Delamination of Edge-Notch Flexure and 3-Point Bend Geometries M. D. Thouless Department of Mechanical Engineering Department of Materials Science & Engineering University
More informationBAR ELEMENT WITH VARIATION OF CROSS-SECTION FOR GEOMETRIC NON-LINEAR ANALYSIS
Journal of Computational and Applied Mechanics, Vol.., No. 1., (2005), pp. 83 94 BAR ELEMENT WITH VARIATION OF CROSS-SECTION FOR GEOMETRIC NON-LINEAR ANALYSIS Vladimír Kutiš and Justín Murín Department
More informationExamination in Damage Mechanics and Life Analysis (TMHL61) LiTH Part 1
Part 1 1. (1p) Define the Kronecker delta and explain its use. The Kronecker delta δ ij is defined as δ ij = 0 if i j 1 if i = j and it is used in tensor equations to include (δ ij = 1) or "sort out" (δ
More informationRD-Ai6i 457 LIMITING PERFORMANCE OF NONLINEAR SYSTEMS WITH APPLICATIONS TO HELICOPTER (U) VIRGINIA UNIV CHARLOTTESVILLE DEPT OF MECHANICAL AND
RD-Ai6i 457 LIMITING PERFORMANCE OF NONLINEAR SYSTEMS WITH APPLICATIONS TO HELICOPTER (U) VIRGINIA UNIV CHARLOTTESVILLE DEPT OF MECHANICAL AND AEROSPAC UNCLASSIFIED W D PILKEV AUG 85 ARO-186431 if-eg F/G
More informationSCATIERING BY A PERIODIC ARRAY OF COWNEAR CRACKS. Y. Mikata
SCATIERING BY A PERIODIC ARRAY OF COWNEAR CRACKS Y. Mikata Center of Excellence for Advanced Materials Department of Applied Mechanics and Engineering Sciences University of California at San Diego, B-010
More informationTMHL TMHL (Del I, teori; 1 p.) SOLUTION I. II.. III. Fig. 1.1
TMHL6 204-08-30 (Del I, teori; p.). Fig.. shows three cases of sharp cracks in a sheet of metal. In all three cases, the sheet is assumed to be very large in comparison with the crack. Note the different
More informationThe Subsurface Crack Under Conditions of Slip and Stick Caused by a Surface Normal Force
F.-K.Chang Maria Comninou Mem. ASME Sheri Sheppard Student Mem. ASME J. R. Barber Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, Mich. 48109 The Subsurface
More informationCHAPTER 6 MECHANICAL PROPERTIES OF METALS PROBLEM SOLUTIONS
CHAPTER 6 MECHANICAL PROPERTIES OF METALS PROBLEM SOLUTIONS Concepts of Stress and Strain 6.1 Using mechanics of materials principles (i.e., equations of mechanical equilibrium applied to a free-body diagram),
More informationDecember 1999 FINAL TECHNICAL REPORT 1 Mar Mar 98
REPORT DOCUMENTATION PAGE AFRL-SR- BL_TR " Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instruct the collection
More informationA MARTINGALE INEQUALITY FOR THE SQUARE AND MAXIMAL FUNCTIONS LOUIS H.Y. CHEN TECHNICAL REPORT NO. 31 MARCH 15, 1979
A MARTINGALE INEQUALITY FOR THE SQUARE AND MAXIMAL FUNCTIONS BY LOUIS H.Y. CHEN TECHNICAL REPORT NO. 31 MARCH 15, 1979 PREPARED UNDER GRANT DAAG29-77-G-0031 FOR THE U.S. ARMY RESEARCH OFFICE Reproduction
More informationFracture Mechanics of Concrete Structures Proceedings FRAMCOS-3 Aedificatio Publishers, D Frei burg, Germany OF THE STANDARD
Fracture Mechanics of Concrete Structures Proceedings FRAMCOS-3 Aedificatio Publishers, D-79104 Frei burg, Germany DETERMINATION PARAMETERS IN NOTCHED BEAMS OF THE STANDARD DOUBLE-K FRACTURE THREE-POINT
More information;E (" DataEntered,) 1.GOVT ACCESSION NO.
;E (" DataEntered,) AD-A 196 504:NTATION PAGE 1.GOVT ACCESSION NO. fitic f ILE GUM. BEFORCOMLETINFOR 3. RECIPIENT'S CATALOG NUMBER ALGO PUB 0120 4. TITLE (and Subtitle) S. TYPE OF REPORT & PERIOD COVERED
More informationPredicting Deformation and Strain Behavior in Circuit Board Bend Testing
Predicting Deformation and Strain Behavior in Circuit Board Bend Testing by Ronen Aniti ARL-CR-0693 May 2012 prepared by Science and Engineering Apprenticeship Program George Washington University 2121
More informationEvolution of Tenacity in Mixed Mode Fracture Volumetric Approach
Mechanics and Mechanical Engineering Vol. 22, No. 4 (2018) 931 938 c Technical University of Lodz Evolution of Tenacity in Mixed Mode Fracture Volumetric Approach O. Zebri LIDRA Laboratory, Research team
More informationMechanical properties 1 Elastic behaviour of materials
MME131: Lecture 13 Mechanical properties 1 Elastic behaviour of materials A. K. M. B. Rashid Professor, Department of MME BUET, Dhaka Today s Topics Deformation of material under the action of a mechanical
More informationMaterials and Structures
Journal of Mechanics of Materials and Structures BRITTLE FRACTURE BEYOND THE STRESS INTENSITY FACTOR C. T. Sun and Haiyang Qian Volume 4, Nº 4 April 2009 mathematical sciences publishers JOURNAL OF MECHANICS
More informationParametric Models of NIR Transmission and Reflectivity Spectra for Dyed Fabrics
Naval Research Laboratory Washington, DC 20375-5320 NRL/MR/5708--15-9629 Parametric Models of NIR Transmission and Reflectivity Spectra for Dyed Fabrics D. Aiken S. Ramsey T. Mayo Signature Technology
More informationTreatment of Constraint in Non-Linear Fracture Mechanics
Treatment of Constraint in Non-Linear Fracture Mechanics Noel O Dowd Department of Mechanical and Aeronautical Engineering Materials and Surface Science Institute University of Limerick Ireland Acknowledgements:
More informationpunclassified K H JOHNSON 10 SEP 84 TR-9 NOOO4-i-K-499 F/G 2/2 NL
D-A47 720 ELECTRONIC STRUCTURE CHEMICAL BONDING / AND SUPERCONDUCTIVITY OF SILVER FIL..(U) MASSACHUSETTS INST I OF TECH CAMBRIDGE DEPT OF MATERIALS SCIENC. punclassified K H JOHNSON 10 SEP 84 TR-9 NOOO4-i-K-499
More informationTransactions on Engineering Sciences vol 6, 1994 WIT Press, ISSN
A computational method for the analysis of viscoelastic structures containing defects G. Ghazlan," C. Petit," S. Caperaa* " Civil Engineering Laboratory, University of Limoges, 19300 Egletons, France &
More informationElastic and Elastic-Plastic Behaviour of a Crack in a Residual Stress Field
Residual Stresses 2016: IC-10 Elastic and Elastic-Plastic Behaviour of a Crack in a Residual Stress Field Guiyi Wu a, Chris Aird b, David Smith and Martyn Pavier c* Department of Mechanical Engineering,
More information1SEP 01 J S LANGER AFOSR
AD-A113 871 CARNEGIE-MELLON UNIV PITTSBURGH PA DEPT OF PHYSICS PG2/ I PH4ASE TRANSFORMATIONS AND NONEQUILIBRIUM INTERFACES.CW) 1SEP 01 J S LANGER AFOSR-80-0034 UNCLASSIFIED AFOSR-TR-82-0307 NI. Unclassified
More information1.0~ O. 1*1.8.2IIII II5 uuu11~ I 1 I6 MICROCOPY RESOLUTION TEST CHART NATIONAL BUREAU OF STANDARDS 1963-A
6AD-Ai5@ 148 NUMERICAL ALGORITHMS AND SOFTWARE FOR MATRIX.RICCATI i/i EGUATIONS(U) UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES A J LAUB 25 OCT 84 RlRO-i8289 15-MAl UNCLASSIFIED MEOMONEE OAAG29-i-K-8i3i
More informationSYSTEMS OPTIMIZATION LABORATORY DEPARTMENT OF OPERATIONS RESEARCH STANFORD UNIVERSITY STANFORD, CALIFORNIA
SYSTEMS OPTIMIZATION LABORATORY DEPARTMENT OF OPERATIONS RESEARCH STANFORD UNIVERSITY STANFORD, CALIFORNIA 94305-4022 00 0 NIN DTIC A Monotone Complementarity Problem in Hilbert Space by Jen-Chih Yao fl
More informationC ~ MAY Approved for public release; distribution unlimited. D TI C. Unclassifiedp.
ADl-AO99 16 NORTHESTERN UNIV EVANSTON IL TECHNOLOGICAL INST FIG 20/11 THERMOELASTIC EFFECTS IN SLIDING SYSTEMS CU) APR 81 A L KISTLER N00OOIG75-C-0761 UNCLASSIFIED N Unclassifiedp. ISECURITY CLASSIFICATION
More informationgeeeo. I UNCLASSIFIED NO 814-B5-K-88 F/G 716 NL SCENCESECTION L F HANCOCK ET AL 81 AUG 87 TR-i
-AiS4 819 PROTON ABSTRACTION AS A ROUTE TO CONDUCTIVE POLYMERS 1/1 (U) PENNSYLVANIA STATE UNIV UNIVERSITY PARK PA POLYMER SCENCESECTION L F HANCOCK ET AL 81 AUG 87 TR-i I UNCLASSIFIED NO 814-B5-K-88 F/G
More informationNigerian Journal of Technology, Vol. 26, No. 2, June 2007 Edelugo 37
Nigerian Journal of Technology, Vol. 26, No. 2, June 2007 Edelugo 37 APPLICATION OF THE REISSNERS PLATE THEORY IN THE DELAMINATION ANALYSIS OF A THREE-DIMENSIONAL, TIME- DEPENDENT, NON-LINEAR, UNI-DIRECTIONAL
More informationChapter 2: Elasticity
OHP 1 Mechanical Properties of Materials Chapter 2: lasticity Prof. Wenjea J. Tseng ( 曾文甲 ) Department of Materials ngineering National Chung Hsing University wenjea@dragon.nchu.edu.tw Reference: W.F.
More information1 Stress and Strain. Introduction
1 Stress and Strain Introduction This book is concerned with the mechanical behavior of materials. The term mechanical behavior refers to the response of materials to forces. Under load, a material may
More informationPattern Search for Mixed Variable Optimization Problems p.1/35
Pattern Search for Mixed Variable Optimization Problems Mark A. Abramson (Air Force Institute of Technology) Charles Audet (École Polytechnique de Montréal) John Dennis, Jr. (Rice University) The views
More informationOn materials destruction criteria. L.S.Kremnev.
On materials destruction criteria. L.S.Kremnev. Moscow State Technological University "STANKIN", Moscow, Russia, Kremnevls@yandex.ru. Abstract. In terms of nonlinear material fracture mechanics, the real
More informationENGN 2290: Plasticity Computational plasticity in Abaqus
ENGN 229: Plasticity Computational plasticity in Abaqus The purpose of these exercises is to build a familiarity with using user-material subroutines (UMATs) in Abaqus/Standard. Abaqus/Standard is a finite-element
More informationMechanics of Materials Primer
Mechanics of Materials rimer Notation: A = area (net = with holes, bearing = in contact, etc...) b = total width of material at a horizontal section d = diameter of a hole D = symbol for diameter E = modulus
More informationPHASE VELOCITY AND ATTENUATION OF SH WAVES IN A FIBER-
PHASE VELOCITY AND ATTENUATION OF SH WAVES IN A FIBER- REINFORCED COMPOSITE Ruey-Bin Yang and Ajit K. Mal Department of Mechanical, Aerospace and Nuclear Engineering University of California, Los Angeles,
More informationBending Load & Calibration Module
Bending Load & Calibration Module Objectives After completing this module, students shall be able to: 1) Conduct laboratory work to validate beam bending stress equations. 2) Develop an understanding of
More informationUse of Wijsman's Theorem for the Ratio of Maximal Invariant Densities in Signal Detection Applications
Use of Wijsman's Theorem for the Ratio of Maximal Invariant Densities in Signal Detection Applications Joseph R. Gabriel Naval Undersea Warfare Center Newport, Rl 02841 Steven M. Kay University of Rhode
More informationOF NAVAL RESEARCH. Technical Report No. 87. Prepared for Publication. in the.. v.. il and/or -- c Spocial Journal of Elactroanalytical Chemistry it
,~OFFICE OF NAVAL RESEARCH Contract N00014-86-K-0556 Technical Report No. 87. Th., Combined Influence of Solution Resistance and Charge-Transfer Kinetics on Microelectrode Cyclic Voltammetry oo i Acee'ic
More informationMMJ1133 FATIGUE AND FRACTURE MECHANICS E ENGINEERING FRACTURE MECHANICS
E ENGINEERING WWII: Liberty ships Reprinted w/ permission from R.W. Hertzberg, "Deformation and Fracture Mechanics of Engineering Materials", (4th ed.) Fig. 7.1(b), p. 6, John Wiley and Sons, Inc., 1996.
More informationDesign for Lifecycle Cost using Time-Dependent Reliability
Design for Lifecycle Cost using Time-Dependent Reliability Amandeep Singh Zissimos P. Mourelatos Jing Li Mechanical Engineering Department Oakland University Rochester, MI 48309, USA : Distribution Statement
More informationNOL UNITED STATES NAVAL ORDNANCE LABORATORY, WHITE OAK, MARYLAND NOLTR ^-z ^ /
NOLTR 64-25 RESIDUAL BORE STRESS IN AN AUTOFRETTAGED CYLINDER CONSTRUCTED OF A STRAIN HARDENING MATERIAL ^7 to QUALIFIED REQUESTERS MAY ORT/mr COPIES DIRECT FROM DDC ^ r'> NOL 18 DECEMBER 1964 v..- iv-
More informationLecture 7: The Beam Element Equations.
4.1 Beam Stiffness. A Beam: A long slender structural component generally subjected to transverse loading that produces significant bending effects as opposed to twisting or axial effects. MECH 40: Finite
More informationChapter 6: Mechanical Properties of Metals. Dr. Feras Fraige
Chapter 6: Mechanical Properties of Metals Dr. Feras Fraige Stress and Strain Tension Compression Shear Torsion Elastic deformation Plastic Deformation Yield Strength Tensile Strength Ductility Toughness
More information