Title

Numerical implementation of an anisotropic finite strain elasto-plastic material model formulated in principal axes

Abstract

The linear theory of elasto-plasticity is currently very well understood. As far as nonlinear theories of elasto-plasticity are concerned, very much progress had been made in the last three decades especially since modern computational devices were available which allowed to apply nonlinear simulations instead of using analytical solutions which are hard to obtain and often impossible. However, there are many approaches for the modeling of nonlinear elasto-plasticity. Often methods are used which are at the first glance very similar to linear modeling approaches.

The master thesis was aimed at an implementation of a special nonlinear model of elasto-plasticity which evolved during the research work of the supervisor of this master thesis. The aim was in particular to translate the full model regarded as tensor model to a model which is formulated with respect to principal axes. Thus, no simple linear model was used but rather the fully nonlinear model which resulted in considerably more complicated formulations as usual which are in full agreement to the complete tensor model in the special case of isotropic hyperelasticity.

The master thesis is interesting in particular for their elegant and competent introduction to nonlinear continuum mechanics, elasticity and nonlinear elasto-plasticity which can be recommended to young researchers or graduate students trying to get a first short overview over these topics. Thereby, the relations were cast using a modern style of continuum mechanics invented by the supervisor of this master thesis.