Nonlinear modelling of hysteretic material laws by dual kriging and application (Q1267926)

We describe the computer aided design tools developed to model the mechanical behavior of shape memory materials and to calculate the mechanical response of shape memory devices. A material law for hysteretic materials can be generated by combining a new phenomenological model based on dual kriging with a micromechanical model. The interface between the material law and finite elements can be improved by using, instead of von Mises transformation criterion, a Prager-type criterion that is well suited for shape memory alloys. Finally, two examples of industrial applications, a Belleville washer for electrical contacts and a medical instrument for non-invasive surgery, demonstrate the approach.