Uniqueness in linear elastostatics for problems involving unbounded bodies

DOI10.1007/BF00040845zbMath0459.73005MaRDI QIDQ1152233

Kenneth B. Howell

Publication date: 1980

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

zbMATH Keywords

boundary value problemsdisplacement problemtraction problemelasticity tensor strongly-ellipticelasticity tensor uniformly positive definiteunbounded two- and three-dimensional bodiesuniqueness of elastostatic solutions

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (15)

Multiple and maximal periodicity in linear elastostatics ⋮ A note on well-posedness of the displacement problem in linear elastostatics ⋮ Periodic elastic states: Nontrivial body forces and exponentially decreasing asymptotic behavior ⋮ The traction problem in plane incompressible linear elastostatics in exterior domains ⋮ Well posedness theorems for linear elastic materials with voids ⋮ Periodic and slightly periodic boundary value problems in elastostatics on bodies bounded in all but one direction ⋮ Periodic and slightly periodic boundary value problems in elastostatics on bodies unbounded in several directions ⋮ On the traction problem for linear elastostatics in exterior domains ⋮ Saint-Venant's principle on unbounded regions ⋮ Stability and related results in linear elastodynamics on unbounded regions ⋮ On the basic theorems in linear elastostatics for bodies containing edge cracks ⋮ Uniqueness in classical elastostatics ⋮ Uniqueness for the penny-shaped crack equilibrium problem in linear elasticity ⋮ Uniqueness in the boundary-value problems for the static equilibrium equations of a mixture of two elastic solids occupying an unbounded domain ⋮ Some remarks on continuous dependence and uniqueness in finite elastostatics for unbounded domains

Cites Work

• Unnamed Item
• Theorems in linear elastostatics for exterior domains
• Uniqueness theorems for displacement fields with locally finite energy in linear elastostatics
• The effect of internal pressure on a penny-shaped crack at the interface of two bonded dissimilar elastic half-spaces
• On the thermodynamics of chemically reacting fluid mixtures

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