Rate-independent systems
A Mielke, T Roubíček - Applied Mathematical Sciences, 2015 - Springer
Our work on rate-independent systems was stimulated by our search for evolutionary
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
material models for shape-memory alloys that are flexible enough to encompass nonlinear …
Γ-limits and relaxations for rate-independent evolutionary problems
This work uses the energetic formulation of rate-independent systems that is based on the
stored-energy functionals E and the dissipation distance D. For sequences (E _k) _ k ∈ N …
stored-energy functionals E and the dissipation distance D. For sequences (E _k) _ k ∈ N …
[HTML][HTML] Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities
In variational phase-field modeling of brittle fracture, the functional to be minimized is not
convex, so that the necessary stationarity conditions of the functional may admit multiple …
convex, so that the necessary stationarity conditions of the functional may admit multiple …
Structural origin of reversible martensitic transformation and reversible twinning in NiTi shape memory alloy
Much progress has been made over the past few decades in resolving the mechanism for
the transformation from ordered body-centered-cubic (B2) austenite to monoclinic martensite …
the transformation from ordered body-centered-cubic (B2) austenite to monoclinic martensite …
An asymmetric elasto-plastic phase-field model for shape memory effect, pseudoelasticity and thermomechanical training in polycrystalline shape memory alloys
We propose an elasto-plastic phase-field model (PFM) to conduct the first microscopic
computational study of shape memory effect (SME), pseudoelasticity, stress assisted two …
computational study of shape memory effect (SME), pseudoelasticity, stress assisted two …
Nonsmooth analysis of doubly nonlinear evolution equations
In this paper we analyze a broad class of abstract doubly nonlinear evolution equations in
Banach spaces, driven by nonsmooth and nonconvex energies. We provide some general …
Banach spaces, driven by nonsmooth and nonconvex energies. We provide some general …
Micromechanical modeling of stress-induced phase transformations. Part 1. Thermodynamics and kinetics of coupled interface propagation and reorientation
VI Levitas, IB Ozsoy - International Journal of Plasticity, 2009 - Elsevier
The universal (ie independent of the constitutive equations) thermodynamic driving force for
coherent interface reorientation during first-order phase transformations in solids is derived …
coherent interface reorientation during first-order phase transformations in solids is derived …
A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems
This work is concerned with the reformulation of evolutionary problems in a weak form
enabling consideration of solutions that may exhibit evolving microstructures. This …
enabling consideration of solutions that may exhibit evolving microstructures. This …
Differential, energetic, and metric formulations for rate-independent processes
In these notes we want to give an overview of the recently developed theory for rate-
independent systems. Such systems are used to model hysteresis, dry friction …
independent systems. Such systems are used to model hysteresis, dry friction …
A phase field model for the formation and evolution of martensitic laminate microstructure at finite strains
FE Hildebrand, C Miehe - Philosophical Magazine, 2012 - Taylor & Francis
The extraordinary properties of shape-memory alloys stem from the formation and evolution
of their complex microstructure. At lower temperatures, this microstructure typically consists …
of their complex microstructure. At lower temperatures, this microstructure typically consists …