Developing new enrichment functions for crack simulation in orthotropic media by the extended finite element method

By Alireza Asadpoure, Soheil Mohammadi. 2007

213 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/045e84ea4363eee605ef0e3e74caa145b04ebaab

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A singular edge-based smoothed finite element method (ES-FEM) for crack analyses in anisotropic media (2011, unknown): “[21] who performed similar studies using boundary element method and extended finite element method, respectively.”
The extended/generalized finite element method: An overview of the method and its applications (2010, background): “A monograph on the XFEM has been published by Mohammadi [128].”
Orthotropic enriched element free Galerkin method for fracture analysis of composites (2011, methodology): “[39] adopting a conservation law of elasticity, Kim and Paulino [25] employing two methodologies of the modified crack closure (MCC) and displacement correlation technique (DCT), and Asadpour and Mohammadi [28] utilizing the XFEM method.”
Dynamic crack propagation analysis of orthotropic media by the extended finite element method (2009, methodology): “In the present work, the following orthotropic enrichment functions, recently derived by Asadpoure and Mohammadi (2007) from the two-dimensional asymptotic displacement field near crack-tip in orthotropic materials, are implemented:”
A review of extended/generalized finite element methods for material modeling (2009, background): “Recently, enrichments for orthotropic materials have been given in [4] and a further discussion of their application can be found in [77].”
XFEM fracture analysis of orthotropic functionally graded materials (2013, unknown): “Moreover, new crack tip enrichments have been presented by Esna Ashari and Mohammadi [52] for interlaminar cracks in orthotropic bimaterial domains.”
Simulations of instability in dynamic fracture by the cracking particles method (2009, unknown): “[14]; recent developments are given in [15–23].”
T-spline based XIGA for fracture analysis of orthotropic media (2015, methodology): “XIGA takes the advantages of its two origins: the extended finite element method (XFEM) and the isogeometric analysis (IGA) [43].”
Multiscale aggregating discontinuities: A method for circumventing loss of material stability (2008, methodology): “The XFEM method was developed in [21, 22]; recent developments are given in [23–29].”