The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place on Wednesday from 9:00 till 10:00 in the room K3. The talk will be given by Stanislaw Stupkiewicz. Please see the details below.
Speaker: Stanislaw Stupkiewicz
Title: Automatic differentiation in computational plasticity
Abstract: In the talk, I will present a general (and personal) look at computational plasticity and nonlinear solid mechanics. Classical incremental equations of rate-independent elastoplasticity will be briefly discussed along with their computational treatment involving the return-mapping algorithm, iterative-subiterative Newton scheme, and consistent linearization. While all these notions are well known, less known is the related approach relying on automatic differentiation (AD). This approach allows us to automatize several tedious steps in computer implementation of complex constitutive models. I will thus briefly present the basic idea of automatic differentiation and show how it can be used in computational plasticity. The approach will be illustrated by some examples of our recent research, including modelling of pseudoelasticity in shape memory alloys and crystal plasticity.