Numerical study on deformations in a cracked viscoelastic body with the extended finite element method
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Date:
2025-04-30Title of Paper:
Numerical study on deformations in a cracked viscoelastic body with the extended finite element methodJournal:
Engineering Analysis with Boundary ElementsSummary:
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.Co-author:
HH Zhang, G Rang, LX Li*Volume:
34Page Number:
619-624Translation or Not:
NoDate of Publication:
2010-10-18
