Phase transformations, fracture, and other structural changes in inelastic materials

VI Levitas - International Journal of Plasticity, 2021 - Elsevier
Review of selected fundamental topics on the interaction between phase transformations,
fracture, and other structural changes in inelastic materials is presented. It mostly focuses on …

Phase field approach to martensitic phase transformations with large strains and interface stresses

VI Levitas - Journal of the Mechanics and Physics of Solids, 2014 - Elsevier
Thermodynamically consistent phase field theory for multivariant martensitic transformations,
which includes large strains and interface stresses, is developed. Theory is formulated in a …

Structural changes in elastoplastic material: a unified finite-element approach to phase transformation, twinning and fracture

AV Idesman, VI Levitas, E Stein - International Journal of Plasticity, 2000 - Elsevier
A unified finite-element approach to phase transformation (PT), twinning and fracture in
elastoplastic materials both at small and finite strains is developed. The applicability of the …

Thermodynamically consistent phase field approach to phase transformations with interface stresses

VI Levitas - Acta Materialia, 2013 - Elsevier
Thermodynamically consistent phase field theory for multivariant martensitic transformations
is developed with the main focus on introducing correct interface stresses (tension). The …

Structural changes without stable intermediate state in inelastic material. part ii. applications to displacive and diffusional–displacive phase transformations, strain …

VI Levitas - International Journal of Plasticity, 2000 - Elsevier
A number of simple examples demonstrate the applicability of the general theory developed
in Part I of this paper to various structural changes in solids, namely to displacive and …

Phase field approach with anisotropic interface energy and interface stresses: large strain formulation

VI Levitas, JA Warren - Journal of the Mechanics and Physics of Solids, 2016 - Elsevier
A thermodynamically consistent, large-strain, multi-phase field approach (with consequent
interface stresses) is generalized for the case with anisotropic interface (gradient) energy …

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 …

Structural changes without stable intermediate state in inelastic material. Part I. General thermomechanical and kinetic approaches

VI Levitas - International Journal of Plasticity, 2000 - Elsevier
We define a structural change in inelastic material as a thermomechanical process of
change in some region of material properties (elastic moduli, heat capacity, thermal …

The dynamics of solid-solid phase transitions 2. Incoherent interfaces

P Cermelli, ME Gurtin - Archive for rational mechanics and analysis, 1994 - Springer
Incoherent phase transitions are more difficult to treat than their coherent counterparts. The
interface, which appears as a single surface in the deformed configuration, is represented in …

On new phase inclusions in elastic solids

AB Freidin - ZAMM‐Journal of Applied Mathematics and …, 2007 - Wiley Online Library
Two‐phase deformation of an elastic body is studied by a small strain approach. Phase
transformations of martensite type are implied. An arbitrary anisotropy of the phases and …