Finite element analysis of a class of stress-free martensitic microstructures

DOI10.1090/S0025-5718-03-01512-6zbMath1021.74040OpenAlexW2009596383MaRDI QIDQ4417154

Bo Li

Publication date: 28 July 2003

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01512-6

zbMATH Keywords

error estimatemulti-well energy minimizationstress-free martensitic microstructure

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Analysis of microstructure in solids (74N15)

Cites Work

• Unnamed Item
• Fine phase mixtures as minimizers of energy
• Approximation of a laminated microstructure for a rotationally invariant, double well energy density
• Approximation of martensitic microstructure with general homogeneous boundary data.
• The simply laminated microstructure in martensitic crystals that undergo a cubic-to-orthorhombic phase transformation
• Relaxed constitutive relations for phase transforming materials
• Relaxation of some multi-well problems
• Proposed experimental tests of a theory of fine microstructure and the two-well problem
• Approximation of a Martensitic Laminate with Varying Volume Fractions
• Finite Element Analysis of Microstructure for the Cubic to Tetragonal Transformation

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