Crack analysis in orthotropic media using the extended finite element method

Asadpoure, Alireza; Mohammadi, Soheil; Vafai, A.

doi:10.1016/j.tws.2006.07.007

Cited by 123 publications

(53 citation statements)

References 23 publications

(32 reference statements)

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“…This is similar to the unidirectional orthotropic enrichment functions previously proposed by Asadpoure et al [39]:…”

Section: Orthotropic Interface Enrichmentssupporting

confidence: 90%

“…The SIFs are compared with the results reported by Kim and Paulino [70] and Asadpoure et al [39] and Asadpoure and Mohammadi [41] in Table I. Kim and Paulino [70] used a total of 2001 elements and 5851 nodes while Asadpoure et al [39] and Asadpoure and Mohammadi [41] utilized the XFEM with different orthotropic enrichment functions for a crack in an orthotropic medium, using an adaptive mesh, refined around the crack, with 2025 four-noded quadrilateral elements and 2116 nodes.…”

Section: Tensile Orthotropic Plate With a Central Crackmentioning

confidence: 99%

“…Asadpoure et al [39,40], Asadpoure and Mohammadi [41] and Mohammadi [29] have extended the method to orthotropic media by deriving new set of orthotropic enrichment functions. They developed three different sets of enrichment functions for various types of composites based on available analytical solutions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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“…This is similar to the unidirectional orthotropic enrichment functions previously proposed by Asadpoure et al [39]:…”

Section: Orthotropic Interface Enrichmentssupporting

confidence: 90%

Section: Tensile Orthotropic Plate With a Central Crackmentioning

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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“…This is despite the fact that such a method, which has been shown to perform efficiently for damage tolerance assessment of complex structures [16], [17], [18] and also holds promise for the analysis of the durability of composite materials by virtue of its ability to describe arbitrary crack growth without remeshing and with relatively coarse meshes. The most significant contributions in the area of orthotropic materials have come from [19], [20], [21] who developed new crack tip enrichment functions to effectively capture the crack tip displacement fields within linear elastic orthotropic materials. Further developments in dynamics allowed the study of propagation in orthotropic materials using XFEM [22].…”

Section: Introductionmentioning

confidence: 99%

An experimental/numerical investigation into the main driving force for crack propagation in uni-directional fibre-reinforced composite laminae

Cahill

Natarajan

Bordas

et al. 2014

Composite Structures

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“…(1) are specified in Eq. (2) by means of polar coordinates (r, θ) at the crack tip and the functions α 1 , α 2 , g 1 , and g 2 given in [3]. They depend on the angle θ and the entries C pqrs of the orthotropic elastic stiffness tensor.…”

Section: Extended Finite Element Methodsmentioning

confidence: 99%

Two‐Scale Simulation of a Disc With a Crack by X‐FEM and Cell Model

Donhauser

Schmerbauch

Matzenmiller

2017

Proc Appl Math and Mech

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The two-scale simulation of a linear-elastic orthotropic disc with a central crack under mode-I loading may be used to verify the extended finite element method implementation of orthotropic enrichment functions into finite element codes such as FEAP. The stress distribution on the finer scale is simultaneously resolved by the high fidelity generalized method of cells called at each integration point of the macro elements.

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Crack analysis in orthotropic media using the extended finite element method

Cited by 123 publications

References 23 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

An experimental/numerical investigation into the main driving force for crack propagation in uni-directional fibre-reinforced composite laminae

Two‐Scale Simulation of a Disc With a Crack by X‐FEM and Cell Model

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