3 papers
math.AP2020
A finite-strain model for incomplete damage in elastoplastic materials
David Melching, Michael Neunteufel, Joachim Schöberl +1
We address a three-dimensional model capable of describing coupled damage and plastic effects in solids at finite strains. Formulated within the variational setting of {\it general…
math.AP2020
Energy scaling laws for geometrically linear elasticity models for microstructures in shape memory alloys
Sergio Conti, Johannes Diermeier, David Melching +1
We consider a singularly-perturbed two-well problem in the context of planar geometrically linear elasticity to model a rectangular martensitic nucleus in an austenitic matrix. We…
math.AP2019
Quasistatic evolution for dislocation-free finite plasticity
Martin Kružík, David Melching, Ulisse Stefanelli
We investigate quasistatic evolution in finite plasticity under the assumption that the plastic strain is compatible. This assumption is well-suited to describe the special case of…