Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 77, Issue 9, Pages 1290-1321Publisher
WILEY
DOI: 10.1002/nme.2447
Keywords
arc-length control; path-following technique; solution control; energy release rate
Funding
- MicroNed programme
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A robust method to trace the equilibrium path in non-linear solid mechanics problems is proposed. A general arc-length constraint based on the energy release rate is developed. Constraints have been derived for the cases of geometrically linear damage, geometrically linear plasticity and geometrically non-linear damage. All three constraints can efficiently be applied in a finite element context. Numerical simulations demonstrate that the proposed framework gives robust results for these cases. Applicability of the proposed framework to other types of constitutive and/or kinematic behaviour is predicted. Copyright (C) 2008 John Wiley & Sons, Ltd.
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