Modeling delamination in composite laminates using XFEM by new orthotropic enrichment functions

Ashari, Shiva Esna; Mohammadi, Soheil

doi:10.1088/1757-899x/10/1/012240

Cited by 12 publications

(9 citation statements)

References 8 publications

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“…In this research, XFEM is adopted and further improved for modeling interfacial cracks between two orthotropic media by a new set of bimaterial orthotropic enrichment functions, completing the earlier research proposed by Esna Ashari and Mohammadi [57,58]. The new interlaminar crack-tip enrichment functions are derived from analytical asymptotic displacement fields around a traction-free interfacial crack.…”

Section: Introductionmentioning

confidence: 85%

“…All necessary parameters are defined in Appendix A. Functions F j (r, ) exclusively define the nature of the displacement fields [58]. They can be defined in the following compact form:…”

Section: Fracture Mechanics For Orthotropic Bimaterials Interfacesmentioning

confidence: 99%

“…A simple shifting procedure on H and F in Equation (15) guarantees the interpolation [29]: Figure 2. Node selection for enrichment; nodes enriched with crack-tip, heaviside, and weak discontinuity functions are marked by triangles, circles, and squares, respectively [58]. …”

Section: Interface Crack Modelingmentioning

confidence: 99%

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Delamination analysis of composites by new orthotropic bimaterial extended finite element method

Ashari

Mohammadi

2011

Numerical Meth Engineering

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SUMMARYThe extended finite element method (XFEM) is further improved for fracture analysis of composite laminates containing interlaminar delaminations. New set of bimaterial orthotropic enrichment functions are developed and utilized in XFEM analysis of linear-elastic fracture mechanics of layered composites. Interlaminar crack-tip enrichment functions are derived from analytical asymptotic displacement fields around a traction-free interfacial crack. Also, heaviside and weak discontinuity enrichment functions are utilized in modeling discontinuous fields across interface cracks and bimaterial weak discontinuities, respectively. In this procedure, elements containing a crack-tip or strong/weak discontinuities are not required to conform to those geometries. In addition, the same mesh can be used to analyze different interlaminar cracks or delamination propagation. The domain interaction integral approach is also adopted in order to numerically evaluate the mixed-mode stress intensity factors. A number of benchmark tests are simulated to assess the performance of the proposed approach and the results are compared with available reference results.

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Section: Introductionmentioning

confidence: 85%

“…All necessary parameters are defined in Appendix A. Functions F j (r, ) exclusively define the nature of the displacement fields [58]. They can be defined in the following compact form:…”

Section: Fracture Mechanics For Orthotropic Bimaterials Interfacesmentioning

confidence: 99%

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Delamination analysis of composites by new orthotropic bimaterial extended finite element method

Ashari

Mohammadi

2011

Numerical Meth Engineering

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“…Motamedi and Mohammadi 33 did the dynamic analysis to laminates with XFEM. Ashari and Mohammadi 34 analyzed the problems about intra-laminar and inter-laminar crack. Wang and Waisman 35 developed XFEM with CZM to study delamination propagation.…”

Section: Introductionmentioning

confidence: 99%

Progressive multi-damage analysis of composite laminate using higher order zig-zag plate theory

Zhou

2020

Advances in Mechanical Engineering

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In this article, a finite element model of multi-layer composite laminates with delamination based on higher order zig-zag theory is studied for the progressive delamination analysis. The degrees of freedom are simplified by the continuity conditions of shear stress between layers and the free-surface conditions at the bottom and top of laminates. The numbers of degrees of freedom are not reduced with this method while the model can take the initiation of delamination into consideration in return. Static loading analysis is implemented to simulate the performance in delamination resistance with two different plies and under two different boundary conditions. The present model can present good performance in the prediction of delamination phenomenon.

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“…This method was improved to model in‐plane cracks and crack growth in plates and shell . For the problem of interface cracks between dissimilar materials, XFEM was extended by the orthotropic enrichment functions . For the dynamic crack propagation of composites, Motamedi and Mohammadi presented the dynamic crack tip enrichments.…”

Section: Introductionmentioning

confidence: 99%

An extended Layerwise method for composite laminated beams with multiple delaminations and matrix cracks

Liu

Zhang

2014

Numerical Meth Engineering

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For the delamination and matrix crack prediction of composite laminated structures, the methods based on the damage mechanics and fracture mechanics are most commonly used. However, there are very few methods that can accurately simulate the delaminations together with matrix cracks, although the in-plane matrix cracks always exist alongside the delaminations under impact loading. In this work, an extended layerwise method is developed to model the composite laminated beam with multiple delaminations and matrix cracks. In the displacement field, the nodes in the thickness direction are located at the middle surface of each single layer, the top surface and the bottom surface of the composite beams. The displacement field contains the linear Lagrange interpolation functions, the one-dimensional weak discontinuous function and strong discontinuous function. The strong and weak discontinuous function are applied to model the displacement discontinuity induced by delaminations and the strain discontinuity induced by the interface between the layers, respectively. Because the nodes in the thickness direction are located at the middle surface of each single layer, the extended layerwise method can be conveniently employed to deal with the in-plane matrix cracks combined with the extend FEM. Figure 1. Typical matrix cracks and delaminations pattern resulted from low impact [12].delamination by macro-scopic damage initiation criteria, such as Choi-Wu [6,7] and Hashin criteria [22,23]. The cumulative effect of delamination can be described by the material degradation models at failure material point. The implementation of the damage mechanics methods is very simple. Because the damage is incorporated within the constitutive model, the damage mechanics methods are easily adapted to numerical approaches such as the FEM. But the real extension process of delamination can not be observed in the damage mechanics methods. In the fracture mechanics methods, linear elastic fracture mechanics (LEFM) is commonly applied for the problem of delamination. Although the fracture mechanics predictions for metallic materials has been widely adopted because of its relative simplicity and accuracy, it is not true for the delamination problem of composite laminates. LEFM is only suited to bonded composite where a realistic de-bonded defect can be defined and the loads produce a uniform linear strain regime. The cohesive fracture model addresses some of the limitations of LEFM, such as the material softening at the crack front and the damage initiation of the delamination in monolithic composites. For the fracture mechanics, the sensitivity to mesh shape still exists and will limit the applicability to the impact problems when used in conjunction with current nonadaptive FE methods. The primary advantage of the fracture mechanics methods is that fracture mechanics concepts can be readily incorporated, such as critical energy release rate. However, the adaptation of the fracture mechanics methods to FEA is somewhat more complicated, because it...

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Modeling delamination in composite laminates using XFEM by new orthotropic enrichment functions

Cited by 12 publications

References 8 publications

Delamination analysis of composites by new orthotropic bimaterial extended finite element method

Delamination analysis of composites by new orthotropic bimaterial extended finite element method

Progressive multi-damage analysis of composite laminate using higher order zig-zag plate theory

An extended Layerwise method for composite laminated beams with multiple delaminations and matrix cracks

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