An adaptive wavelet-Galerkin method for an elastic-plastic-damage constitutive model: one dimensional problem

We present a wavelet-Galerkin method for the analysis of elastic-plastic-damage systems. Ju's model is explcitely considered and numerically tested but the method applies equally wellto a broad range of damage mechanics models. A three-step elastic-predictor, plastic-corrector, damage-corrector strategy is the core of the proposed approach. We use a displacement formulation with wavelet interpolating functions instead of classic polynomials. This allows to clearly locate those regions in the system where damage is taking place, thanks to the high-pass filtering action operated by the wavelets. This opens the way to inexpensive self adaptive strategies that are introduced and tested in the paper.