Computational Softening Plasticity by Wavelet Bases
D. Fasano, Paolo Venini, Giovanni Naldi · Civil-comp proceedings · 2009
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.