Fracture and Damage Analysis of a Cracked Body by a New Boundary Element Model

Abstract

Based on the concept of discontinuity displacement, an analytical solution for cracked thin plates has been derived in which displacements and stresses in a solid can be expressed by the linear distributed discontinuity displacements on the whole boundary. By way of the potential variational principle and the analytical solution newly developed, a boundary element model for 2D multiple crack problems has been presented and applied to fracture and damage analysis of thin plates with many cracks. Two numerical examples are considered to illustrate applications of the proposed element model. #

Numerical Analysis of Crack-Tip Fields Using a Meshless Method in Linear Elastic Materials

“…The FEM requires mesh modification and updating to simulate the crack growth, a timeconsuming and costly process. The boundary element method (BEM) [2] was applied to solve crack problems, as it is a time-efficient, sufficiently accurate method that only requires boundary discretization. The extended finite element method (XFEM) [3] is an improved version of the FEM that is appropriately designed for fracture mechanics problems [4].…”