University of Bristol - Explore Bristol Research. Publisher's PDF, also known as Version of record

Similar documents
FLOATING NODE METHOD AND VIRTUAL CRACK CLOSURE TECHNIQUE FOR MODELING MATRIX CRACKING- DELAMINATION MIGRATION

A SELF-INDICATING MODE I INTERLAMINAR TOUGHNESS TEST

THE ROLE OF DELAMINATION IN NOTCHED AND UNNOTCHED TENSILE STRENGTH

TESTING AND ANALYSIS OF COMPOSITE SKIN/STRINGER DEBONDING UNDER MULTI-AXIAL LOADING.

SKIN-STRINGER DEBONDING AND DELAMINATION ANALYSIS IN COMPOSITE STIFFENED SHELLS

Open-hole compressive strength prediction of CFRP composite laminates

CHARACTERIZATION, ANALYSIS AND PREDICTION OF DELAMINATION IN COMPOSITES USING FRACTURE MECHANICS

Finite element modelling of infinitely wide Angle-ply FRP. laminates

Prediction of Delamination Growth Behavior in a Carbon Fiber Composite Laminate Subjected to Constant Amplitude Compression-Compression Fatigue Loads

NUMERICAL INVESTIGATION OF DELAMINATION IN L-SHAPED CROSS-PLY COMPOSITE BRACKET

INVESTIGATION OF THE FAILURE MECHANISMS FOR DELAMINATION GROWTH FROM EMBEDDED DEFECTS

Calculation of Energy Release Rate in Mode I Delamination of Angle Ply Laminated Composites

LAMB WAVE STIFFNESS CHARACTERIZATION OF COMPOSITES UNDERGOING

PROGRESSIVE DAMAGE ANALYSES OF SKIN/STRINGER DEBONDING. C. G. Dávila, P. P. Camanho, and M. F. de Moura

Fig. 1. Different locus of failure and crack trajectories observed in mode I testing of adhesively bonded double cantilever beam (DCB) specimens.

PLY LEVEL UNCERTAINTY EFFECTS ON FAILURE OF COMPOSITE

EXPERIMENTAL CHARACTERIZATION AND COHESIVE LAWS FOR DELAMINATION OF OFF-AXIS GFRP LAMINATES

Application of fracture mechanics-based methodologies for failure predictions in composite structures

DYNAMIC DELAMINATION OF AERONAUTIC STRUCTURAL COMPOSITES BY USING COHESIVE FINITE ELEMENTS

MODE I AND MODE II FRACTURE BEHAVIOUR OF CARBON/GLASS HYBRID FILAMENT-WOUND RESIN TRANSFER MOULDED COMPOSITES

Keywords: Adhesively bonded joint, laminates, CFRP, stacking sequence

Numerical Simulation of the Mode I Fracture of Angle-ply Composites Using the Exponential Cohesive Zone Model

PREDICTION OF OUT-OF-PLANE FAILURE MODES IN CFRP

Interlaminar fracture characterization in composite materials by using acoustic emission

Crashworthiness of composite structures: Experiment and Simulation

STRUCTURAL EFFICIENCY VIA MINIMISATION OF ELASTIC ENERGY IN DAMAGE TOLERANT LAMINATES

Failure analysis of serial pinned joints in composite materials

Acoustic emission analysis for failure identification in composite materials

ISSN: ISO 9001:2008 Certified International Journal of Engineering Science and Innovative Technology (IJESIT) Volume 2, Issue 4, July 2013

TESTING AND FAILURE ANALYSIS OF A CFRP WINGBOX CONTAINING A 150J IMPACT

Numerical simulation of delamination onset and growth in laminated composites

PREDICTION OF FAILURE BEHAVIOUR OF COMPOSITE LATTICE STRUCTURE UNDER COMPRESSIVE LOAD

DAMAGE SIMULATION OF CFRP LAMINATES UNDER HIGH VELOCITY PROJECTILE IMPACT

Calibration and Experimental Validation of LS-DYNA Composite Material Models by Multi Objective Optimization Techniques

Multi Disciplinary Delamination Studies In Frp Composites Using 3d Finite Element Analysis Mohan Rentala

THE MUTUAL EFFECTS OF SHEAR AND TRANSVERSE DAMAGE IN POLYMERIC COMPOSITES

Application Note. No. 51. Visualization of Progress of Internal Damage in Carbon Fiber Composite Materials and Mechanism of Impact Strength

RATE-DEPENDENT OFF-AXIS COMPRESSIVE STRENGTH OF A UNIDIRECTIONAL CARBON/EPOXY LAMINATE AT HIGH TEMPERATURE

MECHANICAL FAILURE OF A COMPOSITE HELICOPTER STRUCTURE UNDER STATIC LOADING

FRACTURE TOUGHNESS OF ADHESIVE BONDED COMPOSITE JOINTS UNDER MIXED MODE LOADING.

Initiation de fissure dans les milieux fragiles - Prise en compte des contraintes résiduelles

Strength of GRP-laminates with multiple fragment damages

Static and Time Dependent Failure of Fibre Reinforced Elastomeric Components. Salim Mirza Element Materials Technology Hitchin, UK

This is a publisher-deposited version published in: Eprints ID: 4094

Dynamic analysis of Composite Micro Air Vehicles

A Method for Calculating Strain Energy Release Rates in Preliminary Design of Composite Skin/Stringer Debonding Under Multi-Axial Loading

Finite Element-Based Failure Models for Carbon/Epoxy Tape Composites

Interaction of Z-pins with multiple mode II delaminations in composite laminates

COMPRESSION TESTING OF LAMINATES OPTIMISED FOR DAMAGE TOLERANCE

COMELD TM JOINTS: A NOVEL TECHNIQUE FOR BONDING COMPOSITES AND METAL

Tensile behaviour of anti-symmetric CFRP composite

INTERNATIONAL JOURNAL OF APPLIED ENGINEERING RESEARCH, DINDIGUL Volume 2, No 1, 2011

Non-Linear Finite Element Modeling of THUNDER Piezoelectric Actuators

Project MMS13 Task 5 Report No 3 (M6/D3)

EVALUATION OF DEBONDING ENERGY RELEASE RATE OF EXTERNALLY BONDED FRP SHEETS FOR REHABILITATION OF INFRASTRUCTURES

PREDICTION OF TENSILE STIFFNESS AND FAILURE OF CARBON FIBRE COMPOSITE LAMINAE: A MULTI-SCALE NON-DETERMINISTIC APPROACH

BIAXIAL STRENGTH INVESTIGATION OF CFRP COMPOSITE LAMINATES BY USING CRUCIFORM SPECIMENS

FINITE ELEMENT ANALYSIS OF COMPOSITE MATERIALS

A RESEARCH ON NONLINEAR STABILITY AND FAILURE OF THIN- WALLED COMPOSITE COLUMNS WITH OPEN CROSS-SECTION

COMPARISON OF COHESIVE ZONE MODELS USED TO PREDICT DELAMINATION INITIATED FROM FREE-EDGES : VALIDATION AGAINST EXPERIMENTAL RESULTS

The effect of tow gaps on compression after impact strength of robotically laminated structures

RELIABILITY OF COMPOSITE STRUCTURES - IMPACT LOADING -

Modeling Hailstone Impact onto Composite Material Panel Under a Multi-axial State of Stress

LS-DYNA MAT54 for simulating composite crash energy absorption

Numerical Analysis of Composite Panels in the Post-Buckling Field taking into account Progressive Failure

SCALING EFFECTS IN THE LOW VELOCITY IMPACT RESPONSE OF FIBRE METAL

Discrete Spring Model for Predicting Delamination Growth in Z-Fiber Reinforced DCB Specimens

Fracture Mechanics, Damage and Fatigue Linear Elastic Fracture Mechanics - Energetic Approach

High Fidelity Failure Analysis for A Composite Fuselage Section 1

ID-1160 REAL-TIME DETECTION AND EXPLICIT FINITE ELEMENT SIMULATION OF DELAMINATION IN COMPOSITE LAMINATES UNDER IMPACT LOADING

Non-conventional Glass fiber NCF composites with thermoset and thermoplastic matrices. F Talence, France Le Cheylard, France

EXPLICIT DYNAMIC SIMULATION OF DROP-WEIGHT LOW VELOCITY IMPACT ON CARBON FIBROUS COMPOSITE PANELS

Capability Assessment of Finite Element Software in Predicting the Last Ply Failure of Composite Laminates

INITIATION AND PROPAGATION OF FIBER FAILURE IN COMPOSITE LAMINATES

RESIDUAL STRESS DISTRIBUTION AND ITS INFLUENCE ON THE MECHANICAL BEHAVIOUR OF COMPOSITE LAMINATES

NUMERICAL AND EXPERIMENTAL ANALYSES OF MULTIPLE DELAMINATIONS IN CURVED COMPOSITE LAMINATES

KINK BAND FORMATION OF FIBER REINFORCED POLYMER (FRP)

A STRUCTURE DESIGN OF CFRP REAR PRESSURE BULKHEAD WITHOUT STIFFENERS

University of Bristol - Explore Bristol Research. Early version, also known as pre-print

INTERNAL STRAIN MEASUREMENTS IN CFRP PLATES SUBJECTED TO IMPACT LOAD USING FBG SENSORS

Predictive simulations of damage propagation in laminated composite materials and structures with SAMCEF

FRACTURE MECHANICS TEST METHODS

SSRG International Journal of Mechanical Engineering (SSRG-IJME) volume1 issue5 September 2014

Effects with a matrix crack on monitoring by electrical resistance method

Comparison with Low-Velocity Impact and Quasi-static Indentation Testing of Foam Core Sandwich Composites

SUB-SURFACE DAMAGE LOCATION AND IDENTIFICATION USING INFRA-RED TECHNIQUES

DAMAGE MECHANICS MODEL FOR OFF-AXIS FATIGUE BEHAVIOR OF UNIDIRECTIONAL CARBON FIBER-REINFORCED COMPOSITES AT ROOM AND HIGH TEMPERATURES

ADVANCES IN THE PROGRESSIVE DAMAGE ANALYSIS OF COMPOSITES

Experimental characterization of interlaminar fracture toughness of composite laminates assembled with three different carbon fiber lamina

1. Introduction. Keywords. Zenasni Ramdane 1,*, Hebbar Ahmed 1,Jaime Vina Olay 2

An investigation of the mechanical behaviour of carbon epoxy cross ply cruciform specimens under biaxial loading

TESTING AND ANALYSIS OF COMPOSITE SANDWICH BEAMS

Modelling the nonlinear shear stress-strain response of glass fibrereinforced composites. Part II: Model development and finite element simulations

Keywords: CFRP, compressive failure, kink-band, cohesive zone model. * Corresponding author

Fracture Behaviour of FRP Cross-Ply Laminate With Embedded Delamination Subjected To Transverse Load

Overview of Hygrothermally Stable Laminates with Improved Extension-twist Coupling

SIMULATION OF BOND FAILURE IN RC BEAMS STRENGTHENED WITH FRP SHEETS SUBJECTED TO DYNAMIC/IMPACT LOADINGS

DELAMINATION IN MODE I AND II OF CARBON FIBRE COMPOSITE MATERIALS : FIBRE ORIENTATION INFLUENCE

Mechanisms and Modelling of Delamination Growth and Failure of Carbon-Fibre Reinforced

MODELING OF THE BEHAVIOR OF WOVEN LAMINATED COMPOSITES UNTIL RUPTURE

Transcription:

Pernice, M. F., Ratcliffe, J. G., De Carvalho, N. V., & Hallett, S. R. (04). Investigating Delamination Migration in Multidirectional Tape Laminates. In ECCM6-6th European Conference on Composite Materials: Seville, Spain, -6 June 04 Publisher's PDF, also known as Version of record Link to publication record in Explore ristol Research PDF-document University of ristol - Explore ristol Research General rights This document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/pure/about/ebr-terms

INVESTIGTING DELMINTION MIGRTION IN MULTIDIRECTIONL TPE LMINTES M. F. Pernice a*, J. G. Ratcliffe b, N. V. De Carvalho b, S. R. Hallett a a dvanced Composite Centre for Innovation and Science (CCIS), University of ristol, Queen s uilding, University Walk, ristol, S8 TR, UK b National Institute of erospace, Resident at: Durability, Damage Tolerance and Reliability ranch, NS Langley Research Center, Hampton, V, 68-99, US *Corresponding uthor: francesca.pernice@bristol.ac.uk Keywords: polymer matrix composites, delamination migration, multidirectional interfaces bstract Delamination migration was investigated at interfaces between plies with dissimilar fiber angle, θ, in composite tape laminates. The test method employed allowed to isolate and investigate a single delamination migration from a 0/θ interface into a stack of four plies oriented at θ. Tests showed that delamination propagation and migration varies across the specimen width. On one side, delamination appeared to grow at the initial interface, while on the opposite side, the damage progression was characterized by recurring kinking events initiating inside the specimen, before migration was completed. The occurrence and extent of kinking varies with the fiber angle. The experimental results showed that delamination migration is affected by the local stress state at the delamination front, which varies across the specimen width, depending upon the fiber angle.. Introduction Delamination is a widely studied damage mechanism that is key to failure of laminated composite structures. Early studies tended to focus on delamination growth contained within a single ply interface, and used data from characterization tests obtained from unidirectional coupons, in which delamination grows between plies with the same fiber orientation. lthough valid for design purposes, this approach does not reflect the reality of delamination propagation in multidirectional laminates. In fact, delamination in composite structures usually propagates at interfaces between plies with dissimilar fiber angle (multidirectional interfaces) and can kink out of the interface and migrate from one interface to another [-], for instance, in skin/stringer joints [4] or in laminates subject to low-velocity impact damage [5]. Consequently, knowledge of delamination propagation and migration at multidirectional ply interfaces is required, in order to develop and assess methods which simulate delamination migration. In order to understand the mechanisms controlling delamination migration, Ratcliffe et al. developed a Delamination Migration test []. The test allows to isolate and investigate a single kinking event through a stack of four 90 plies, starting from delamination which propagates at a 0/90 interface. This sequence of damage events is obtained by the way specimen loading affects the local shear stress at the crack front. The specimen employed is a

beam containing an artificial delamination, as pictured in Fig.. t the beginning of the test, the shear stress sign at the crack front is oriented as in Fig. a and drives delamination toward the lower portion of the specimen, where the 0 fibers constrain delamination to grow at the 0/90 interface. When delamination propagates beyond the load application point, as in Fig. b, shear stress sign inverts and delamination is allowed to kink into the upper ply stack. Changing the position of load application point along the specimen (load offset, L, in Fig. ) was found to affect the distance from load application point where kinking occurs [], since it affects the shear stress state at the crack front. The study utilized a cross-ply laminate, to have a uniform migration event across the specimen, providing benchmarking data for plane strain numerical analyses [6]. However, delamination in real composite structures is likely to propagate and migrate at more general ply interfaces. Therefore, in the present work, the delamination migration test proposed in [] was employed to investigate interfaces between plies with generic fiber directions. The ply interfaces investigated were 0/60 and 0/75. new stacking sequence was designed, to minimize coupling effects arising in the specimen because of the non-symmetric 0/θ interface. Specimens were tested at different positions of the load application point, similar to what was previously done on cross-ply specimens []. Damage progression was monitored by X-ray Computed Tomography to obtain the three-dimensional evolution of the migration process. a<l a>l L a L a [0 ] [ 4] [0 ] [0 ] [ 4] [0 ] - + (a) principal tensile stress plane (b) principal tensile stress plane loading direction (c) loading rod piano hinge.7mm specimen L.7 mm clamp clamp 7. mm a 0 baseplate 45 mm Figure. Effect of local shear stress at the delamination front producing delamination growth (a) or kinking (b), and schematic of delamination migration specimen (c).. Experimental The delamination migration specimen is a beam containing a polytetrafluoroethylene (PTFE) film insert at an interface between a 0 ply (specimen length direction) and a stack of four plies oriented at a given angle θ, in a sub-laminate sequence 0/T/θ 4 /0 (bottom to top, where T indicates the PTFE insert). The lower 0 ply constrains delamination to grow at the 0/θ interface before kinking through the θ 4 ply stack. The kinked crack is eventually stopped by the top 0 bounding ply. In this work, the stacking sequence of the delamination migration specimen was modified to investigate migration at a 0/60 and at a 0/75 interface. Classical laminated plate theory analysis [7] was performed to minimize the bending/twisting coupling arising from the central non-symmetric block in the stacking sequence. 56-ply stacking sequence was selected for testing, as follows: [+θ/ 0/ +θ / -θ 4 / -(90-θ)/ -θ/ -(90-θ)/ 90/ -(90-θ)/ (90-θ)/ 90/ (90-θ)/ +θ/ (90-θ)/ +θ 4 / -θ 4 / 0/ T/ +θ 4 / 0/ -θ 4 / -(90-θ)/ -θ/ -(90-θ)/ 90/ -(90-θ)/ (90-θ)/ 90/ (90-θ)/ +θ/ (90-θ)/ +θ 4 / 0/ -θ 4 ]

where left to right represents bottom to top ply in the specimen, and T indicates the location of the PTFE insert. ecause of the fiber orientation at the interface, in the new specimens the shear stress field at the crack front varies across the specimen width, rather than being uniform as in the original cross-ply specimen []. Consequently, delamination migration is expected to vary across the specimen width. panel of IM7/855 carbon epoxy material [8] for each fiber orientation was made and cured in an autoclave. Panels contained a.7 µm thick PTFE film insert to create a 5 mm long artificial delamination in the specimens (dimension a 0 in Fig. c). Specimens were 45 mm long,.7 mm wide and the total thickness was 7. mm (Fig. c). The specimen is clamped at both ends on the test fixture and loaded by means of a hinge bonded to its upper surface, as illustrated in Fig. c. Tests were conducted in displacement control at a loading/unloading rate of 0.7 mm/min. pplied load and machine crosshead displacement were recorded during tests. Tests were performed at load offset L=0.5a 0,.0a 0,.a 0,.a 0,.a 0. Each testing condition (fiber angle and load offset) was repeated 4 to 9 times. number of specimens were tested incrementally. During the incremental tests, specimens were partially loaded and then unloaded and inspected by X-ray Computed Tomography (CT scan), to monitor the mechanism of delamination growth and migration in the interior of the specimen. Specimens were then repositioned in the test fixture to continue the test. During the test, damage development on the specimen edges was monitored by a camera on each side, synchronized with the load acquisition system on the testing machine. In the rest of this paper, edge views will be referred to as front edge view, if delamination grows from left to right (as in the side visible in Fig. c) and rear edge view, to refer to the opposite lateral view of the specimen. fter testing, specimens were inspected by X-ray CT scan.. Results and Discussion Test results for the two ply orientations, 0/60 and 0/75, are discussed separately in the following sections. For each ply orientation, results for specimens loaded at L=a 0 are presented as the reference case, and the effect of load offset L is then described... Specimens containing a 0/60 interface... Specimens loaded at the PTFE insert front The load-displacement curve for specimens loaded at different load offsets is shown in Fig.. The load-displacement curve obtained for L=a 0 shows that the specimen response was predominantly linear until a maximum load was reached. t this point, an unstable event occurred, during which unstable delamination growth was observed on both edges of the specimen, as shown in the edge views in Fig.. Continued specimen loading caused more stable delamination propagation, until migration was observed on the edges of the specimens. ppearance of delamination on the edges of the specimen was different on the two sides. On the front edge, delamination appeared to propagate uniformly at the 0/60 interface (front edge views and in Fig. ), until it kinked through the 60 4 ply stack (front view C in Fig. ) and migrated to the next 60/0 interface (front view D in Fig. ). On the rear edge, delamination propagated by repeatedly kinking part way through the upper ply stack (creating arrested kinked cracks) and then turning back to the initial 0/60 interface, as it can be seen in the rear edge views and C in Fig.. This process continued until kinking and migration were completed on the rear edge of the specimen (rear edge view D in Fig. ).

The different delamination propagation on the two edges of the specimen indicates that the mechanism of delamination growth and migration varies across the specimen width. This variation is attributed to the non-uniform distribution of shear stress at the delamination front in the specimen. Incremental tests and associated X-ray CT scan inspections allowed to reconstruct the exact sequence of damage events occurring in the interior of the specimen. X- ray CT scan images of a section of the specimens, taken at the top 60 delamination surface, are shown in Fig., for specimens tested at each load offset. Force, N 600 500 400 00 00 00 E C D E F D D C D L=.0a 0 L=.a 0 L=.a 0 L=.a 0 L=0.5a 0 Front view Rear view Front view C D Rear view 0 0 0.5.5.5.5 Displacement, mm Displacement, mm Figure. Load-displacement response for specimens containing a 0/60 interface loaded at each load offset and edge views at key stages during the test ( to D), of the front edge of the specimen ( Front view ) and the rear edge of the specimen ( Rear view ). Each edge view couple is representative of the point indicated by the same letter on the load curves. X-ray CT scan inspection of specimens tested in increments revealed that kinking initiated inside the specimen, in a location between the central line in the width direction and the rear edge of the specimen, indicated by in Fig. b). The first kinked cracks in this location were formed during the unstable event occurring at the beginning of the test, although kinking events were not visible on the edges of the specimen at this point (edge views in Fig. ). Under continued specimen loading, the kinked cracks formed inside the specimen propagated along the 60 fiber direction toward the rear edge of the specimen, where they appeared in the rear side view in Fig.. This process was repeated several times, creating a number of kinking events indicated in Fig. b in location. Here, delamination kinked through the upper 60 4 ply stack and stopped when it reached the top 0 bounding ply. Eventually, one of the kinked cracks caused delamination onset at the upper 60/0 interface, completing the migration process. These recurring kinking events did not occur in the region of the specimen between the front edge and approximately the center of the specimen in the width direction. In this region, the delamination surface showed fiber bridging or fiber imprints from the lower 0 ply at the interface until migration was completed, in point in Fig. b. This damage progression is explained by the fact that at a 0/θ interface the shear stress at the delamination front varies across the specimen width. t the beginning of the test, the shear stress sign tends to drive delamination into the lower portion of the specimen (as illustrated in Fig. a), causing the observed initial delamination growth at the 0/60 interface. s delamination propagates, the shear stress sign inverts and it becomes possible for delamination to kink into the upper ply stack at the interface (as in Fig. b). In case of a 0/90 interface, the shear stress at the delamination front is uniform across the specimen width, therefore kinking occurs uniformly across the specimen []. In case of a 0/θ interface, instead, shear stress varies across the specimen width, because of the fiber angle at the interface. s a consequence, the inversion of shear stress sign and the subsequent kinking is not uniform across the specimen, but it starts inside the specimen, between the center and the rear edge (as in point in Fig. b). Delamination kinks at this point, but it continues to propagate at the 0/60 interface in the remainder of the specimen. s delamination length increases further, the 4

shear stress sign inverts over a wider region of the specimen. This causes further kinking events and the propagation of the kinked cracks along the fiber direction in the 60 ply stack, until they reach the rear edge of the specimen. In the region of the specimen toward the front edge, the shear stress sign inverts later and therefore delamination propagates at the 0/60 interface for a longer length before kinking. a b c d e L=0.5a 0 Delamination growth direction L=.a 0 L=.0a 0 0 90 60 Teflon insert front Load application point L=.a 0 L=.a 0 Figure. X-ray CT scan images of a section of the specimen taken at the top 60 delamination surface for specimens containing 0/60 interface loaded at each load offset.... Effect of load offset on migration In all the specimens tested with load offset greater than a 0, delamination growth was observed prior to migration. representative load-displacement curve for each load case is shown in Fig.. In specimen loaded on the delaminated portion, (L=0.5a 0 ), the shear stress sign is favorable for migration from the beginning of the test, therefore migration occurred immediately from the PTFE insert front. In all the other cases, the load curves and general damage sequence was similar to what described for L=a 0. In specimen tested at higher load offset (L=.a 0,.a 0 ) the delamination onset was stable and it produced an initial small load drop on the load-displacement curves (as indicated at point in Fig. for these load offsets). fter this point, load continued to increase until it reached a maximum value and delamination propagated in a stable manner for about 9-0 mm. During this phase, delamination seemed to dive into the lower 0 ply at the interface, driven by the shear stress, which is oriented as in Fig. a. Once a maximum force was reached, an unstable event took place. fter this point, the test continued as described in case of load offset L=a 0. The initial diving of delamination in the lower ply in specimens with higher load offset is due to the way the loading position affects the shear stress sign at the crack front. Reversal of shear stress sign can only occur after delamination grows beyond the load application point. Therefore, as the load offset is increased, delamination needs to propagate for a greater length before kinking events start to take place inside the body of the specimen. s indicated by point in the X-ray CT images in Fig., delamination starts to kink later along the specimen, for increasing load offset. In some of the specimen tested with L>a 0, delamination 5

migration was not visible on one of the edges of the specimen, usually the front edge, as in case of Fig. d. However, even in these cases, X-ray CT inspection revealed that delamination had kinked inside the specimen. In general, the loading position on the specimen affected the location where kinking occurs, since changing the load offset varies the shear stress at the delamination front. This result confirms the effect of shear stress at the crack front on kinking... Specimens containing a 0/75 interface... Specimens loaded at the PTFE insert front Delamination migration at 0/75 ply interface showed similar behavior to the 0/60 interface. Representative load-displacement curves and edge views are shown in Fig. 4. s in the 0/60 interface, specimens responded linearly to loading until a maximum load was reached, at which point an unstable event took place, followed by more stable delamination propagation. In the 0/75 interface specimens, fewer and smaller arrested kinked cracks appeared on the rear side edge of the specimen prior to migration. On the front edge, delamination propagation and migration developed in the same way as in case of 0/60 interface. Force, N 600 500 400 00 00 00 L=.0a 0 L=.a 0 L=.a 0 L=.a 0 L=0.5a 0 Front view Rear view Front view Rear view C 0 0 0.5.5.5.5 Displacement, mm Displacement, mm Figure 4. Load-displacement response for specimens containing a 0/75 interface loaded at each load offset and edge views at key stages during the test ( to C), of the front edge of the specimen ( Front view ) and the rear edge of the specimen ( Rear view ). Each edge view couple is representative of the point indicated by the same letter on the load curves. Incremental tests followed by X-ray CT inspection revealed that delamination kinking started inside the specimen, approximately between the center and the rear edge (point in Fig. 5b), similar to what observed in the 0/60 interface. However, upon continued loading, additional kinking took place across the width of the specimen, toward the front side edge, in location in Fig. 5b). This different behavior is attributed to the fiber angle at the interface. t a 0/75 interface, the variability of the shear stress across the specimen width is less than in case of 0/60 interface. Therefore, at a given delamination length, shear stress sign reversal takes place over a wider region of the specimen, so that delamination is allowed to kink in multiple points across the width of the specimen. Even in this case, the kinked cracks formed inside the specimen propagate along the θ fiber direction until they reach the specimen edges and completed the migration process. The last portion of the specimen where delamination kinked and migrated was the zone close to the front edge, indicated by in Fig. 5b. In both the ply interfaces tested, migration across the specimen was completed by two independent kinking events. 6

a b c d e L=0.5a 0 L=.0a 0 Delamination growth direction L=.a 0 0 90 75 Teflon insert front Load application point L=.a 0 L=.a 0 Figure 5. X-ray CT scan images of a section of the specimen taken at the top 75 delamination surface for specimens containing 0/75 interface loaded at each load offset.... Effect of load offset on migration The effect of the load offset on specimens containing a 0/75 interface was the same as that observed in case of 0/60 interface. This result confirms that delamination kinking and migration depend upon the local shear stress state at the delamination front, which is affected by the load offset. Load-displacement curves for specimens tested at each load offset are shown in Fig. 4. s it can be noted, specimens with this ply interface loaded at L>a 0 exhibited a more unstable response, during which the unstable delamination growth was immediately followed by simultaneous kinking on both edges of the specimen. s in the 0/60 interface, load offsets L=.a 0 and.a 0 caused delamination to initially dive in the lower portion of the specimen, before shear stress sign reversed and kinking started. X-ray CT images in Fig. 5 revealed that the distance along the specimen where kinking occurs increases with the load offset, because the shear stress sign reversal occurs at a greater delamination length for higher load offset. 4. Concluding Remarks Delamination migration was studied at 0/θ interfaces in laminated composites. The test method employed in [], applied to a new specimen design, allowed to isolate a single migration event in a 0/60 and a 0/75 interface. Experimental results showed that the kinking of delamination from an interface is controlled by the shear stress field at the delamination front. In particular, kinking is only possible when the sign of the shear stress drives delamination toward the θ oriented ply, through which it will migrate. ecause of the θ ply angle, delamination propagation and migration vary across the specimen width. In fact, the fiber angle at the interface causes the distribution of shear stress in the specimen to vary, which has two main consequences. First, delamination propagation is uneven across the width of the specimen, in the sense that delamination grows within either one of the plies at the interface. Second, kinking initiates inside the specimen in a location which depends on the shear stress distribution, and hence on the fiber angle, and is not uniform across the specimen width. The dissimilar nature of delamination propagation suggests that characterization of 0/θ 7

interfaces may be needed to better deal with damage at multidirectional ply interfaces in real structure. In general, results obtained by the delamination migration tests can help the understanding of failure of composite structures where delamination is observed to migrate through several ply interfaces. The study offers an insight into delamination propagation and migration at multidirectional ply interfaces in laminated composites, and provides valuable validation data for models aiming to simulate delamination migration. cknowledgements This material is based on work supported by National eronautics and Space dministration, Langley Research Center under Research Cooperative greement No. NNL09O0 awarded to the National Institute of erospace. The work of Maria Francesca Pernice is supported by the EPSRC grant number E8P/G0677/, as part of the Centre for Doctoral Training in dvanced Composites for Innovation and Science at the University of ristol. References [] E. S. Greenhalgh, C. Rogers, P. Robinson. Fractographic observations on delamination growth and the subsequent migration through the laminate. Compos SciTechnol, 69(4):45-5, 009. [] J. G. Ratcliffe, M. W. Czabaj, T. K. O rien. test for characterizing delamination migration in carbon/epoxy tape laminates. National eronautics and Space dministration Technical Memorandum, NS-TM-0-808, ugust 0. [] Canturri C, Greenhalgh ES, Pinho ST, nkersen J. Delamination growth directionality and the subsequent migration process The key to damage tolerant design. Compos Part pplsci 0;54: 79-87 [4] R. Krueger, M. K. Cvitkovich, T. K. O'rien, P. J. Minguet. Testing and nalysis of Composite Skin/Stringer Debonding under Multi-xial Loading. J Compos Mater, 4(5):6-00, 000. [5] D. Hull and Y.. Shi. Damage Mechanisms Characterization in Composite Damage Tolerance Investigations. Compos Struct, ():99-0, 99. [6] N. V. De Carvalho,. Y. Chen, S. T. Pinho, P. M. aiz, J. G. Ratcliffe, T. E. Tay. Floating node method and virtual crack closure technique for modeling matrix crackingdelamination migration. ICCM9, Montreal, Canada; 0 [7] M. J. Jones. Mechanics of Composite Materials. Taylor and Francis, 999 [8] Hexcel Corporation, 007. HexPly 855 Product Data Sheet, http://hexcel.com. 8