Symmetry-breaking transitions in equilibrium shapes of coherent precipitates

DOI10.1016/S0022-5096(00)00005-3zbMath1003.74016OpenAlexW1629290283MaRDI QIDQ1584904

R. Sankarasubramanian, T. A. Abinandanan, Chandrashekhar Jog

Publication date: 27 January 2003

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(00)00005-3

zbMATH Keywords

optimizationquadratic programmingfinite elementinclusionsinhomogeneous materialequilibrium shapecoherent misfitting particlescubic elastic anisotropysymmetry-breaking shape transitions

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Inhomogeneity in solid mechanics (74E05) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65) Optimization of other properties in solid mechanics (74P10)

Related Items (1)

A hybrid smoothed extended finite element/level set method for modeling equilibrium shapes of nano-inhomogeneities

Uses Software

• Mathematica

Cites Work

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• Microstructural evolution in inhomogeneous elastic media
• The equilibrium shape of an elastically inhomogeneous inclusion
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The elastic field outside an ellipsoidal inclusion
• The continuum mechanics of coherent two-phase elastic solids with mass transport
• The use of ADINA for analysis of mines with explosive fills
• The gradient of the finite element variational indicator with respect to nodal and applications in fracture mechanics and mesh optimization

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