Institute of Information Theory and Automation

You are here

Projects

Dept.: MTR Duration: 2019 - 2021
The project aims at advancing the mathematical modeling of nonlinear mechanical phenomena described by large strain deformations in three different directions. First, we will investigate effective simplified models for problems in materials science whose energetic formulations simultaneously involve both energy terms defined on the original stress-free configuration and energy contributions...
Dept.: MTR Duration: 2018 - 2020
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...
Dept.: MTR Duration: 2017 - 2019
New equilibrium models arising in economy and mechanics will be described by systems of evolutionary generalized equations (EGEs) and thoroughly investigated. Their characteristic feature is the presence of nonsmooth and set-valued mappings. We intend to study various concepts of solutions to systems of such generalized equations and their relevance for particular problems. These EGEs...
Dept.: MTR Duration: 2016 - 2018
The accurate description of the complex thermomechanical behavior of solids requires the efficient treatment of strongly nonlinearly coupled partial differential equations systems. These stem from the combination of balance and constitutive equations, which in turn can be often rephrased in a variational setting from the specification of suitable equilibrium and dissipation potentials. The aim...
Dept.: MTR Duration: 2016 - 2017
The accurate description of the complex thermomechanical behavior of solids requires the efficient treatment of strongly nonlinearly coupled partial differential equations systems. These stem from the combination of balance and constitutive equations, which in turn can be often rephrased in a variational setting from the specification of suitable equilibrium and dissipation potentials. The aim of...
Dept.: MTR Duration: 2014 - 2016
The proposed project is focused on development of new mathematical models of constitutive behavior of shape memory alloys. These models will be based on results of experimental observations, and will reflect the mutual couplings between individual microstructural processes in these materials. Not only that the development of such models will contribute to better understanding of the...