A variational technique for boundary element analysis of 3D fracture mechanics weight functions: static

Abstract

The dual boundary element method coupled with the weight function technique is developed for the analysis of three-dimensional elastostatic fracture mechanics mixed-mode problems. The weight functions used to calculate the stress intensity factors are deÿned by the derivatives of traction and displacement for a reference problem. A knowledge of the weight functions allows the stress intensity factors for any loading on the boundary to be calculated by means of a simple boundary integration without singularities. Values of mixedmode stress intensity factors are presented for an edge crack in a rectangular bar and a slant circular crack embedded in a cylindrical bar, for both uniform tensile and pure bending loads applied to the ends of the bars. ? 1998 John Wiley & Sons, Ltd.

Fracture characteristics of a cement concrete pavement plate considering subgrade modulus decay based on a meshless finite block method

“…In engineering applications, numerical techniques have become an effective and efficient tool for analyzing the mechanical strength of continuum and dis-continuum structures (Wen et al, 1997;Wen et al, 1998;Wei et al, 2022). Nowadays, the most popular numerical research method of cement concrete pavement failure is the finite element method (FEM) (Li et al, 2019).…”

A Variational Meshless Method for Mixed-Mode Fracture Problems

“…In this paper, the numerical implementation of element free Galerkin method for solving mixedmode static fracture problems is presented with radial basis function interpolation and moving leastsquare method. The variational technique described in [6] is firstly developed with the use of element free method to determine mixed-mode stress intensity factor of static reference problems of mixed-mode. The accuracy and convergence of this method has been demonstrated with a rectangular sheet containing edge crack.…”

Weight function for an elliptical planar crack embedded in a homogeneous elastic medium

“…For cracks of more complicated geometry engineering scientists use approximate weight functions obtained by numerical and finite element methods, which in many cases lead to results of unknown accuracy (see, for example, Wang et al 1998;Yang 2003, 2002;Wen et al 1998Wen et al , 1996.…”