We will propose a mathematically lucid setting for the derivation of reduced models from nonlinear continuum thermomechanics. We will justify linearized models in thermoviscoelasticity and viscoplasticity as limits of the nonlinear deformation theory employing variational convergence. We will also investigate lower-dimensional models as limit models of bulk structures subject to the injectivity...

The aim of the project is to develop analytical tools to support the investigation of the locomotion of soft-bodied animals and robots, with a focus on limbless locomotion. Topics such as stabilization to limit cycles, optimal control and multiscale models will be studied.

The aim of the project is to apply the methods of polyhedral geometry to solve mathematical problems with motivation in statistics and artificial intelligence. The goals concern several areas: statistical learning graphical models of conditional independence structure, theory for application of graphical models, supermodular functions, secret sharing schemes, theory of cooperative games and...

This project is focused on systematic experimental investigation and theoretical description of nucleation and propagation of martensitic phase transformation via localized inhomogeneities in NiTi shape memory alloys, so-called transformation bands. The localization phenomenon strongly influences mechanical behaviors of these alloys and plays key role in understanding other material processes as...