Element-Free Galerkin modelling of composite damage

Guiamatsia, Irene; Falzon, Brian; Davies, G. A. O.; Iannucci, L.

doi:10.1016/j.compscitech.2009.08.005

Cited by 29 publications

(11 citation statements)

References 18 publications

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“…Other numerical approaches are also used. For example: the element free method for both matrix cracks and delaminations in [265][266][267], modeling of delaminations by the XFEM [268], and peridynamics [269,270].…”

Section: Low Velocity Impactsmentioning

confidence: 99%

Cohesive zone models and impact damage predictions for composite structures

2015

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This article surveys existing cohesive zone models (CZM) and their use in numerical simulations for analysis impacts on composite structures and predicting the damage induced. These models are used for matrix cracks and delamination. The first part of article gives the required background on failure criteria for predicting the onset of delaminations, on fracture mechanics and the various types of CZM. The second part discusses applications of CZM to several types of impact problems with composite structures. Applications for these models to other problems are briefly mentioned at the end. CZM are now part of state of the art numerical simulations with progressive damage analysis.

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Section: Low Velocity Impactsmentioning

confidence: 99%

Cohesive zone models and impact damage predictions for composite structures

2015

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“…[22], observed delamination and matrix cracking by post-mortem analysis of laminated structures containing geometrical features such as notches or bolts. The finite element tools, that they used, cannot explicitly model an intralaminar matrix microcrack, except if the location of the damage is specified a priori.…”

Section: The Meshless (Mfee) Methodsmentioning

confidence: 99%

Calculating Stress Intensity Factor (Mode I) for Composite Plate with Central Crack

Al-Ansari¹,

Al-mahmud²

2013

IJCA

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A Stress Intensity Factor (SIF) Mode I is calculated for longitudinal composite plate with dimensions (104 mm × 40 mm) and fiber volume fraction (37.5%).The finite element method (FEM) (ANSYS) and MFree method are used for calculating the SIF of quarter model (i.e. (52 mm × 20 mm)) with constant displacement in y-direction that is applied at the ends of the plate. The crack length, material properties of fiber and material properties of matrix affect the SIF and these parameters are studied to understand the crack growth and the fracture mechanism in composite material. The value of SIF depends on the position of crack tip in additional to the material properties of fiber and matrix.A comparison between the FEM and MFree method is made to study the advantages and disadvantages of each method and to choose the suitable method for calculating SIF for composite plate. Generally, there is a good agreement between the FEM and MFree method but there is a slightly difference between them specially when the crack length increases. This slight difference happens due to the calculation technique of SIF used in each method. This difference makes the FEM accurate than the MFree method unless increasing the number of nodes around the crack tip in MFree method.

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“…Several review articles [2,7,8,10,11], which cover the classification, application and computer implementation aspects of the meshfree method, have been reported in the literature [12][13][14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Determination of the critical load and energy release rate in mode II delamination using a meshfree method

Pekbey

Hesar

Yıldız

et al. 2014

Science and Engineering of Composite Materials

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Simulation of fracture by using numerical methods is important to treat geometries that change in time. In this study, both numerical and experimental investigations are presented for the delamination under mode II loading, detailing the derivation of the formulations in numerical simulations of fracture. The simulation of the delamination under mode II loading based on the cohesive segments model was investigated by using a meshfree method. Then, an experimental investigation was used to verify the meshfree method's results. For tests under mode II loading, three-point end-notched flexure specimens, which are made of carbon/epoxy laminate (AS4/3501-6) which consists of 10 plies in [0] 10 and [0/90/0/90/0] s lay-up with delamination inserted in the middle of the laminate, were used for the interlaminar fracture toughness tests. The problem was solved for [0] 10 , [0/45/-45/90/0] s , [0/90/0/90/0] s , [0/90/0/90/30] s , [0/90/0/90/45] s and [0/90/0/90/60] s laminates with midplane delaminations, and the results were verified for different composite materials. The critical fracture force, which can be experimentally measured, was used to calculate the mode II delamination fracture toughness of the carbon/epoxy laminate. In addition, values of the integral for 209 (11 × 19) and 253 (11 × 23) background meshes with equivalent interval sizes were compared. For a relatively fine background mesh, the critical load was converged. Results obtained from the meshfree element-free Galerkin method showed very good agreement with experimental data for single-mode delamination under mode II loading. The results presented will help in the implementation of mesh design techniques that protect numerical accuracy while minimizing computational expense.

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Element-Free Galerkin modelling of composite damage

Cited by 29 publications

References 18 publications

Cohesive zone models and impact damage predictions for composite structures

Cohesive zone models and impact damage predictions for composite structures

Calculating Stress Intensity Factor (Mode I) for Composite Plate with Central Crack

Determination of the critical load and energy release rate in mode II delamination using a meshfree method

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