Periodic and slightly periodic boundary value problems in elastostatics on bodies unbounded in several directions

DOI10.1016/0020-7225(82)90052-0zbMath0484.73011OpenAlexW2053918411MaRDI QIDQ1163887

Kenneth B. Howell

Publication date: 1982

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(82)90052-0

zbMATH Keywords

arbitrariness of periodicitybodies unbounded in direction other than direction of periodicitycorresponding null boundary value problem is periodicdisplacement corresponding to periodic strain be nonperiodicgeneral properties of solutionssemiperiodicity conditionsolution has periodic strainsome or all of functions involved are periodictraction problem on homogeneous half-plane

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Elastic materials (74B99)

Related Items (4)

Multiple and maximal periodicity in linear elastostatics ⋮ Periodic elastic states: Nontrivial body forces and exponentially decreasing asymptotic behavior ⋮ Saint-Venant's principle on unbounded regions ⋮ The asymptotic behavior of doubly periodic strain states

Cites Work

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• 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
• Uniqueness theorems for displacement fields with locally finite energy in linear elastostatics
• A laminate composite with an infinite row of parallel cracks normal to the interfaces
• Asymptotic Behavior of Periodic Strain States

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