Multiple and maximal periodicity in linear elastostatics
Copyright policy )Multiple and maximal periodicity in linear elastostatics
The author examines the elastic state of bodies having periodic strain in a number of directions. It is shown that the displacements satisfy a ''semi-periodicity'' condition. A reciprocal theorem and a work-energy theorem are derived and discussed. The paper is theoretical. It is likely to be of greatest interest and use to theoreticians working in linear elasticity.
- University of Alabama in Huntsville United States
periodic strain, work-energy theorem, Elastic materials, maximally periodic, slightly maximally periodic boundary value problems, semi-periodicity, reciprocal theorem, Uniqueness of solutions of equilibrium problems in solid mechanics, Uniqueness of solutions of dynamical problems in solid mechanics, Periodic solutions to PDEs
periodic strain, work-energy theorem, Elastic materials, maximally periodic, slightly maximally periodic boundary value problems, semi-periodicity, reciprocal theorem, Uniqueness of solutions of equilibrium problems in solid mechanics, Uniqueness of solutions of dynamical problems in solid mechanics, Periodic solutions to PDEs
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