We propose a thermodynamically consistent general-purpose model describing diffusion of
a solute or a fluid in a solid undergoing possible phase transformations and damage, beside …

The model of brittle cracks in elastic solids at small strains is approximated by the Ambrosio-
Tortorelli functional and then extended into evolution situation to an evolutionary system …

In this paper, we prove existence of global in time weak solutions for a highly nonlinear PDE
system arising in the context of damage phenomena in thermoviscoelastic materials. The …

We discuss some principle concepts of damage mechanics and outline a possibility to
address the open question of the damage-to-deformation relation by suggesting a …

In the beginning of this work we present a regularity result for second-order evolution
equation which is essential for the mathematical analysis of inverse problems stemming …