Stability of microstructure for tetragonal to monoclinic martensitic transformations

DOI10.1051/m2an:2000161zbMath0981.74042OpenAlexW2127790082MaRDI QIDQ4490029

Pavel Bělík, Mitchell Luskin

Publication date: 20 September 2000

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/194007

zbMATH Keywords

stabilityerror estimatesuniquenessfinite element approximationenergy densityrotationally invariant wellssimply laminated microstructuretetragonal to monoclinic martensitic transformations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Methods involving semicontinuity and convergence; relaxation (49J45) Micromechanical theories (74A60) Crystals in solids (74N05)

Related Items (6)

Materials from mathematics ⋮ A computational model for the indentation and phase transformation of a martensitic thin film ⋮ APPROXIMATION BY PIECEWISE CONSTANT FUNCTIONS IN A BV METRIC ⋮ On the Numerical Modeling of Deformations of Pressurized Martensitic Thin Films ⋮ Approximation of martensitic microstructure with general homogeneous boundary data. ⋮ Stability of microstructures for some martensitic transformations

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