A new approach for analyzing cracked problems in 2D orthotropic materials using the well-known element free Galerkin method and orthotropic enrichment functions is proposed. The element free Galerkin method is a meshfree method which enables discontinuous problems to be modeled efficiently. In this study, element free Galerkin is extrinsically enriched by the recently developed crack-tip orthotropic enrichment functions. Also, a suitable way is applied to select support domains near a crack so that the discontinuity can be modeled without the Heaviside enrichment function. Crack-tip enrichment functions span the possible displacement space that may occur in the analytical solution. For evaluating the mixed-mode stress intensity factors, the interaction integral is applied. Some numerical examples are simulated to investigate the efficacy of the new approach by comparing with other numerical or (semi-) analytical methods.
Ghorashi, S., Sabbagh-Yazdia, S., & Mohammadi, S. (2010). Element free Galerkin method for crack analysis of orthotropic plates. Computational Methods in Civil Engineering, 1(1), 1-13.
MLA
S.Sh. Ghorashi; S.R. Sabbagh-Yazdia; S. Mohammadi. "Element free Galerkin method for crack analysis of orthotropic plates". Computational Methods in Civil Engineering, 1, 1, 2010, 1-13.
HARVARD
Ghorashi, S., Sabbagh-Yazdia, S., Mohammadi, S. (2010). 'Element free Galerkin method for crack analysis of orthotropic plates', Computational Methods in Civil Engineering, 1(1), pp. 1-13.
VANCOUVER
Ghorashi, S., Sabbagh-Yazdia, S., Mohammadi, S. Element free Galerkin method for crack analysis of orthotropic plates. Computational Methods in Civil Engineering, 2010; 1(1): 1-13.
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