On failure of the complementing condition and nonuniqueness in linear elastostatics

DOI10.1007/BF00041996zbMath0576.73012OpenAlexW2038088695MaRDI QIDQ1064806

Henry C. Simpson, Spector, Scott J.

Publication date: 1985

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00041996

zbMATH Keywords

linearelastostaticshomogeneous isotropic bodynonuniquenesstractionat equilibrium in a state of plane straincompressible linearly elastic materialfailure of complementing conditioninfinite number of linearly independent solutions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items

Fine phase mixtures as minimizers of energy ⋮ On the positivity of the second variation in finite elasticity ⋮ Necessary conditions at the boundary for minimizers in finite elasticity ⋮ The complementing and Agmon's conditions in finite elasticity ⋮ On bifurcation in finite elasticity: Buckling of a rectangular rod

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