主要期刊论文

Numerical study on deformations in a cracked viscoelastic body with the extended finite element method




作者: HH Zhang, G Rang, LX Li*
发表/完成日期: 2010-10-18
期刊名称: Engineering Analysis with Boundary Elements
期卷: 34
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论文简介
Deformations such as crack opening and sliding displacements in a cracked viscoelastic body are
numerically investigated by the extended finite element method (XFEM). The solution is carried out
directly in time domain with a mesh not conforming to the crack geometry. The generalized Heaviside
function is used to reflect the displacement discontinuity across a crack surface while the basis
functions extracted from the viscoelastic asymptotic fields are used to manifest the gradient singularity
at a crack tip. With these treatments, the XFEM formulations are derived in an incremental form. In
evaluating the stiffness matrix, a selective integration scheme is suggested for problems with high
Poisson ratios often encountered in viscoelastic materials over different element types in the XFEM.
Numerical examples show that the crack opening displacement and crack sliding displacement are
satisfactory.