Computational modeling of the martensitic transformation with surface energy

DOI10.1016/0895-7177(94)90173-2zbMath0813.73064OpenAlexW2041039962MaRDI QIDQ1344138

Petr Klouček, Mitchell Luskin

Publication date: 6 June 1995

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(94)90173-2

zbMATH Keywords

numerical viscositynonconforming finite element methodaustenitic-martensitic interfacial layerstrain-gradient surface energy

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Micromechanics of solids (74M25) Micromechanical theories (74A60)

Related Items (7)

A class of nonlinear elasticity problems with no local but many global minimizers ⋮ Convergence of a full discretization for a second-order nonlinear elastodynamic equation in isotropic and anisotropic Orlicz spaces ⋮ The viscous damping prevents propagation of singularities in the system of viscoelasticity ⋮ Kinetics of phase transformations in the peridynamic formulation of continuum mechanics ⋮ The three dimensional non-conforming finite element solution of the Chapman-Ferraro problem ⋮ Modeling and simulation of martensitic phase transitions with a triple point ⋮ The computational modelling of branching fine structures in constrained crystals

Cites Work

• Constitutive theory for some constrained elastic crystals
• Fine phase mixtures as minimizers of energy
• Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
• Equilibrium configurations of crystals
• The relaxation of a double-well energy
• Energy minimization and the formation of microstructure in dynamic anti- plane shear
• On the dynamics of fine structure
• The computation of the dynamics of the martensitic transformation
• Admissibility criteria for propagating phase boundaries in a van der Waals fluid
• Proposed experimental tests of a theory of fine microstructure and the two-well problem
• Dynamical modelling of phase transitions by means of viscoelasticity in many dimensions
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
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