We propose a mechanisms-based viscoplasticity approach for metals and alloys. First, we derive a stochastic model for thermally-activated motion of dislocations and, then, introduce power-law flow rules. The overall plastic deformation includes local plastic slip events taken with an appropriate weight assigned to each angle of the plane misorientation from the direction of maximum shear stress...

In a multiphase modeling framework tumors are described as a mixture of tumor and host cells within a porous structure constituted by a remodeling extracellular matrix (ECM), which is wet by a physiological extracellular fluid. The main focus of the model presented in this article is the description of the mechanical interactions of the growing tumor with the host tissue, their influence on tum...

Tailored materials are of particular interest in modern engineering applications due to their potentially high strength and residual ductility. During hot forming processes, such as press hardening, microstructure transformations low carbon steels considered achieve the production tailored components. The relevant mechanisms during thermo-mechanical processing visco-plastic deformation phase tr...