A critical overview of past research on the interaction integral (I-integral) method is
presented. The I-integral is the two-state mutual energy release rate decided by a …

Meshless or meshfree methods (MMs) are practical and excellent numerical techniques for
solving crack problems. With the inherent limitations of mesh-based methods such as the …

In this study, the improved element-free Galerkin (IEFG) method is presented to the three-
dimensional elastoplasticity problems. The improved least-squares (IMLS) approximation is …

This paper presents for the first time an improved meshfree particle method without the need
for background cells in terms of numerical integration for thermal-mechanical crack growth …

A numerical study of thermal-mechanical crack growth in orthotropic composite materials by
the recently developed extended nodal gradient finite element method is presented. The …

This paper discusses the thermal fracture analysis of anisotropic materials under thermal
shock based on the classic theory of thermoelasticity in the framework of the Extended Finite …

A generalized higher-order shear deformation theory (GHSDT) along with extended
isogeometric analysis (XIGA) is presented for the analysis of cracked functionally graded …

In this paper, an extended isogeometric analysis (XIGA) is presented to model the crack in
functionally graded piezoelectric materials (FGPMs). The material properties of functionally …

The computational model of thermo-mechanical coupling analysis for orthotropic structures
was established based on the element-free Galerkin (EFG) method. The computational …

A strong form-based isogeometric-meshfree moving least-squares collocation (IMMLS-C)
approach is developed for two-dimensional linear elastic fracture problems with contact …