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Journal Articles Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik Year : 2010

On the existence of solution in the linear elasticity with surface stresses

Abstract

The mathematical investigation of the initial-boundary and boundary value problems in the linear elasticity considering surface stresses is presented. Weak setup of the problems based on mechanical variational principles is studied. Theorems of uniqueness and existence of the weak solution in energy spaces of static and dynamic problems are formulated and proved. Some properties of the spectrum of the problems under consideration are established. The studies are performed applying the functional analysis techniques. Finally, the Rayleigh principle for eigenfrequencies is constructed.
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Dates and versions

hal-00824093 , version 1 (21-05-2013)

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  • HAL Id : hal-00824093 , version 1

Cite

Holm Altenbach, Victor A. Eremeyev, Leonid P. Lebedev. On the existence of solution in the linear elasticity with surface stresses. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2010, 90 (3), pp.231-240. ⟨hal-00824093⟩
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