Head of Department
Most of the research activities of the department belong to the field of applied mathematics. The focus is on theoretical problems as well as problems connected with implementation of methods in the following areas:
GACR 24-10366S
2024-01-01 - 2026-12-31
The proposed project aims to develop an experimentally justified and mathematically consistent constitutive model of the shape memory behavior of metastable beta-Ti alloys, to implement it into a finite element computational software and to validate it on experimental data.
8J24AT004
2024-01-01 - 2025-12-31
Many models used in applied sciences lack rigorous mathematical and numerical analysis, leading to incorrect predictions and non-reliable simulations, especially in nonlinear continuum-mechanical modeling of (visco)elastic solids with inelastic or diffusive inner processes. This proposal aims to develop a mathematically rigorous theory of surface-bulk elasticity integrated into an open-source simulation tool. The focus is on surface-bulk interactions, which are crucial in highly compliant solids. Our research will improve the reliability and precision of simulations in continuum mechanics of solids and contribute to the development of applied physics, engineering, and mathematics.
GACR 23-04766S
2023-01-01 - 2025-12-31
This project aims to systematically advance the analysis of problems in elastodynamics and viscoelastodynamics when also coupled with other dissipative processes. Here, all essential geometric restrictions like injectivity of deformation and orientation-preservation will be respected.
GA24-10400SS
2024-01-01 - 2025-12-31