Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation

DOI10.1093/qjmam/hbn014zbMath1153.74032OpenAlexW1970015967MaRDI QIDQ5502841

Ray W. Ogden, David Yang Gao

Publication date: 9 January 2009

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/hbn014

zbMATH Keywords

duality theorystrain-energy functioniterative finite difference methodEricksen bar model

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Finite difference methods applied to problems in solid mechanics (74S20) Analysis of microstructure in solids (74N15) Multiplicity of solutions of equilibrium problems in solid mechanics (74G35)

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