One-dimensional structured phase transformations under prescribed loads
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Publication:1067820
DOI10.1007/BF00041988zbMath0581.73020OpenAlexW2036754574MaRDI QIDQ1067820
Jack Carr, Morton E. Gurtin, Marshall Slemrod
Publication date: 1985
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00041988
unstablestored energybounded one-dimensional elastic bodynon-constant solutionsone-dimensional structured phase transformationsprescribed loadsstress-strain law
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Cites Work
- Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density
- Elastic materials with couple-stresses
- Asymptotic behavior and stability of solutions of semilinear diffusion equations
- Asymptotic behavior for solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions
- Equilibrium of bars
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