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Numerical simulation of the non-linear crack problem with non-penetration

✍ Scribed by Victor A. Kovtunenko

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 197 KB
Volume: 27
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.449

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✦ Synopsis

Abstract

Here the numerical simulation of some plane Lamé problem with a rectilinear crack under non‐penetration condition is presented. The corresponding solids are assumed to be isotropic and homogeneous as well as bonded. The non‐linear crack problem is formulated as a variational inequality. We use penalty iteration and the finite‐element method to calculate numerically its approximate solution. Applying analytic formulas obtained from shape sensitivity analysis, we calculate then energetic and stress characteristics of the solution, and describe the quasistatic propagation of the crack under linear loading. The results are presented in comparison with the classical, linear crack problem, when interpenetration between the crack faces may occur. Copyright © 2004 John Wiley & Sons, Ltd.

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