Interface-bulk interactions in solids

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.