3 papers
cond-mat.mtrl-sci2025
Plastic deformation as a phase transition: a combinatorial model of plastic flow in copper single crystals
Afonso D. M. Barroso, Elijah Borodin, Andrey P. Jivkov
Continuum models of plasticity fail to capture the richness of microstructural evolution because the continuum is a homogeneous construction. The present study shows that an altern…
math-ph2025
Calculus with combinatorial differential forms for fluid flow analysis in porous and fractured media
Changhao Liu, Kiprian Berbatov, Majid Sedighi +1
The fabric of porous and fractured media contains solid regions (grains) and voids. The space conducting fluids is a system of connected voids with variable geometries. Relative to…
cond-mat.mtrl-sci2024
Kinetic view on dynamic plasticity of crystalline solids
Elijah Borodin, Afonso D. M. Barroso, Andrey P. Jivkov
Microstructural changes in solids, driven by energy flows, do not develop in a static continuous space, such as the space considered in conventional plasticity models. The applied…