On uniqueness conditions in the small for the state of hydrostatic compression of a solid

DOI10.1016/0021-8928(80)90121-5zbMath0463.73040OpenAlexW2063517504MaRDI QIDQ1153724

Leonid M. Zubov

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8928(80)90121-5

zbMATH Keywords

comparisonuniqueness conditionsgoverning inequalities of Hill, Hadamard and Coleman-Nollhomogeneous anisotropic elastic bodymultilateral follower pressurestate of hydrostatic compression

Mathematics Subject Classification ID

Variational inequalities (49J40) Anisotropy in solid mechanics (74E10) Stability of dynamical problems in solid mechanics (74H55) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items

Bifurcation of solutions of statics problems of the nonlinear theory of elasticity, Necessary and sufficient criteria for ellipticity of the equilibrium equations of a nonlinearly elastic medium, A criterion for the strong ellipticity of the equilibrium equations of an isotropic nonlinearly elastic material, Stability of a nonlinearly elastic cylinder under side pressure and axial compression, On the peculiarities of the loss of stability of a nonlinear elastic rectangular bar

Cites Work

• Theory of small deformations of prestressed thin shells
• On constitutive inequalities for simple materials. II
• Variational principles of the nonlinear theory of elasticity
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