Periodic elastic states: Nontrivial body forces and exponentially decreasing asymptotic behavior

DOI10.1007/BF00127552zbMath0629.73013MaRDI QIDQ1094174

Kenneth B. Howell

Publication date: 1987

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

zbMATH Keywords

periodic boundary value problemserrorasymptotic statebehavior near infinityelastic states on three-dimensional bodiesnon-periodic boundary value problemsnontrivial body forcesperiodic strain solutionSaint Venant's principletheorem of work and energy

Mathematics Subject Classification ID

Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Elastic materials (74B99)

Cites Work

• The asymptotic behavior of doubly periodic strain states
• Uniqueness in linear elastostatics for problems involving unbounded bodies
• 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 thermodynamics of chemically reacting fluid mixtures
• Asymptotic Behavior of Periodic Strain States
• Directionally Dependent Asymptotic Behavior of Biharmonic Functions with Applications to Elasticity

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