345-335 6 5394 mme.modares.ac.ir - *2 - -2 ghasemi@kashanu.ac.ir 8737-567 * (FML) -. FML FML FML... [AL/ /9 ] FML.. FML. FML. FML 393 7 : 394 2 : 394 4 : - ApplicationsoftheIncrementalHole-DrillingMethodforMeasurementof Non-UniformResidualStressesinFiberMetalLaminates MohammadMehdiMohammadi,AhmadRezaGhasemi DepartmentofMechanicalEngineering,UniversityofKashan,Kashan,Iran P.O.B.8737567Kashan,Iran,ghasemi@kashanu.ac.ir ARTILEINFORMATION ABSTRAT OriginalResearchPaper Received26February25 Accepted9April25 AvailableOnline4May25 Keywords: FiberMetalLaminates IncrementalHole-Drilling IntegralMethod alibrationoefficientsmatrix lassicallaminatetheory In this paper, the incremental hole-drilling method is used to measure experimentally with accuracy non-uniform residual stresses in each ply of fiber metal laminate (FML) composites. Integral methodwasusedfortheapproximationofresidualstress.this methodisconsidered constant and uniform residual stress analysis at each hole-drilling depth increment. First, finite element method is used to calculate the calibration coefficients matrix of the incremental hole drillingprocess.thecalibrationcoefficientsmatrixdeterminedbyfiniteelementanalysiscanbe used directly in the experiment. alibration coefficients matrix is used to relate the measured strainrelaxationfieldwith theexistingresidualstressespriorto the hole-drilling process.also, for the experimental determination, released strains induced by high speed drilling process on FMLcompositeswithstackingsequenceof[AL/ 2 /9 2 ] S have been quantified. Finally, the experimental measurements are compared with the theoretical predictions of the classical laminatetheory.goodagreementbetweentheexperimentaldataandtheoreticalpredictionshow that,incremental hole-drillingtechniquecanbeprovedtobe successfullyappliedfor measuring non-uniformresidualstressesinfmlcomposites..[] FML 2 2-arbonReinforcedAluminumLaminates(ARAL) -. (FML) - -FiberMetalLaminates(FMLs) Pleasecitethisarticleusing: : M.M.Mohammadi,A.R.Ghasemi,ApplicationsoftheIncrementalHole-DrillingMethodforMeasurementofNon-UniformResidualStressesinFiberMetalLaminates, ModaresMechanicalEngineeringVol.5,No.6,pp.335-345,25(InPersian)
-. %5.[4] -.. 6 5394.. 3 5 4.[5]. [6] [7.. FML. FML. [AL/ /9 ] FML.. FML - 2...[8] 3-IncrementalStrainMethod 4-AverageStressMethod 5-PowerSeriesMethod 2 FML.[2]. [5-3] FML.[6 ] FML..[7]..[8].. [9] ASTM E-837... [] [2]..[3] ASTM E837. -AramidReinforcedAluminumLaminates(ARALL) 2-GlassReinforcedAluminumLaminates(GARALL) 336
(). (3) () = (3) <, > () (3 (2) (4) ( ) = (, ) () = (5) (4) = (, ) () = (, ) (6)., =, =, =, =,,,,,, - :(6) (9) (7) (9) (7). (6) =3. () 3) (4) (5) (6) (7) (8) (9) R RO...[9] :[7] () ( ) = (, )() ( ) () () ( ) () (). ().[46].(2) -..[26] =. (2) () (2) x step, 2 3 step, 2 step, 2 22 23 xy step, 3 3 32 33 y step, step, 2 step,2 3 2 3 2 2 2 x 22 22 22 step,2 2 step,2 2 22 23 2 22 23 xy 2 2 2 22 22 22 step,2 3 3 32 33 3 32 33 y step,2 2 2 2 22 22 22 step,2 2 3 2 3 2 3 x step,3 3 3 3 32 32 32 33 33 33 step,3 2 2 22 23 2 22 23 2 22 23 step,3 3 3 3 32 32 32 33 33 33 xy step,3 3 32 33 3 32 33 3 3 3 3 32 32 3 32 33 32 33 33 33 y step,3 step,3 () 337 6 5394
- 3 4. : 2-2-3 FML... FML SOLID 85. SURF 54.(5).. 2 FML ) /4 /2 2 5/4 /3 /5 5 5 2 (GPa) (GPa) (GPa) 23/8 9/ 3/4 /3 69 69 25 /33 / (35 -) - 3 - -3... -6.. 3 A B. B.. A (A 4.(). 6 5394 338
.. - - 3-3 FML /4 mm. [AL/ /9 ]. (2). 9. -. 9... - 2 FML - 4 - - 4 E-25 FML. ML-56 HA- 5: -.. 3 2 [2] ASTM D358 ASTM D339 - (3) [22] -4.892.95 -.4855-6.7276 -.463.849-4.925-5.56 2.474-5.2645 2.4983 -.4736-6.8946 -.4626 -.4339-7.529 -.3328 2.294-5.558 2.372-5.2463-5.564 2.47 5 X. Y 45 45....[6] YX) = = =. (XY = + 2 () + 2 cos 2 + sin 2 = cos + sin + sin 2 6 ().. () ) 3. -5.2566 2.4844-5.8 2.499 -.4738-6.8947 -.4629 -.434-7.4988 -.3373 -.447-7.464 -.362 2.292-5.56 2.3622-5.2384 2.3494-5.224 (2) 339 6 5394
- = cos = sin = sin 2 :() :() :() = ( = ( = ( 6 FML 3 FML 7 ( ) 62 4/9 23/6 /35 /3 /33 (GPa) 2/8 4 69 () 55/78 55/35 3/36 2/94 22/29 8/3 73 55 FML 8 FML 4 = + = = = + = ( + ) (gr) (gr) (gr) (gr (cm 3 ) (cm 3 ). /5 /3 mm.[2] 5/min N. (min) FML 2 µm/s 5 rpm 2 mm HSS FML... - 5-4 FML -. = + + = + + + T (3) Lfm. 2-4 / /.(7) 25 [AL/ /9 ] 24 6 6..(8) 5/min 6. 5 5mm 2 3-4 / 4. 55.. / FRS-2-4- 4 TML 6 5394 34
. 9 9.. 9 9 9. 45. 9. [AL/ /9 ] FML - 5-5... () 5-4/9-4/59 4/42 5/3-5/6-77/5-27/9-24/84-26/77 () (2) 45 (3) 9 3 2. 4 9. - 6-4 2/4 mm. /4 mm 9. 9 [AL/ /9 ] FML 5 3 6 42. -.. FML. FML FML FML 9 34 6 5394
- 75 2 3 4 5 6 5 (µ) 25-25 -5-75 45 9-2 4 6 8 2 4 6 8 ) [AL/ /9 ] FML,, = () (,, ) :(9) - 4 { } () = () { } + { } {} () (8) (9) - 2-5 5 (2). () (-5) 2 [226] - -5. 2. {} () = () = cos(), = sin() :(4) = 2 2 () :(6) (, ) = + + (, ) (, ) = + + (, ) (, ) = - - 2 (4) (5) + + (, ) (6) (6) ) :(7) - 3 = D BA (7) - (8) 6 5394 342
(MPa) (MPa) (MPa). - FML [AL/ /9 ] FML. 5 5-5 - -5 5 5-5 - -5 5 5-5 2 3 3 2 3 4. -.. FML. 3. FML. ). (9 /46 MPa 4... /6 MPa. 5. % 5/7. ( ) /89 MPa.. /65/ 6. /2... ASTM E837 /8.[9] /3-/4 - -5 2 3 5-6. FML 343 6 5394
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