Three alternative approaches, namely the extended/generalized finite element method
(XFEM/GFEM), the scaled boundary finite element method (SBFEM) and phase field …

We present a phase field formulation for fracture in functionally graded materials (FGMs).
The model builds upon homogenization theory and accounts for the spatial variation of …

This paper reviews crack tip asymptotic fields in generic plane anisotropic media, rigorously
categorising about 400 studies devoted to the determination of the asymptote coefficients …

Porosities exist as pores of different sizes within a structure to fabricate lightweight materials
and the sintering process. The porous structure gives a lower loading capacity than the …

The scaled boundary finite element method is extended to model fracture in functionally
graded materials (FGM) under coupled thermo-mechanical loads. The governing equations …

This article applies the finite element over-deterministic (FEOD) method to determine the
coefficients of the crack tip asymptotic fields in an anisotropic plane. This method relies on …

This study introduces a novel implementation of exponential finite element (EFE) shape
functions within the phase field model for predicting fracture responses in functionally …

This paper is devoted to study the bending response, free vibration and mechanical buckling
of functionally graded material (FGM) plates based on the scaled boundary finite element …

This paper presents a numerical technique for geotechnical slope stability analysis,
integrating digital image meshing with the scaled boundary finite element method, allowing …

In this work, we extend the recently proposed adaptive phase field method to model fracture
in orthotropic functionally graded materials (FGMs). A recovery type error indicator combined …