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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 67
Edited by: B.H.V. Topping
Paper I.5

Computational Softening Plasticity by Wavelet Bases

D. Fasano+, P. Venini+ and G. Naldi#

+Dipartimento di Meccanica Strutturale, Università di Pavia, Pavia, Italy
#Dipartimento di Matematica, Università di Milano Bicocca, Milano, Italy

Full Bibliographic Reference for this paper
D. Fasano, P. Venini, G. Naldi, "Computational Softening Plasticity by Wavelet Bases", in B.H.V. Topping, (Editor), "Computational Techniques for Materials, Composites and Composite Structures", Civil-Comp Press, Edinburgh, UK, pp 39-45, 2000. doi:10.4203/ccp.67.1.5
We present a mixed wavelet-Galerkin approach for the numerical solution of elastoplasticity problems in the presence of softening. This kind of problems is characterised by the so called loss-of-ellipticity that is responsible for the localisation of deformations on a scale that is order-of-magnitude smaller than the overall scale of the system. The presence of two scales makes wavelet bases, i.e. an inherently multiscale tool, a natural candidate for the solution. Furthermore, the extensions needed to make the algorithm self-adaptive are highlighted in view of a near-future presentation.

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