The equations of a plate for a linearly elastic monoclinic material with residual stress are here derived for the first time. By using techniques of -convergence we show that also in the case with residual stress the displacements are of Kirchhoff–Love type. An improvement of the result of Man and Carlson on the existence of a solution for the three-dimensional problem of linear elasticity with residual stress is also obtained.

Theory of linearly elastic residually stressed plates / Paroni, Roberto. - In: MATHEMATICS AND MECHANICS OF SOLIDS. - ISSN 1081-2865. - 11:(2006), pp. 137-159.

Theory of linearly elastic residually stressed plates

PARONI, Roberto
2006-01-01

Abstract

The equations of a plate for a linearly elastic monoclinic material with residual stress are here derived for the first time. By using techniques of -convergence we show that also in the case with residual stress the displacements are of Kirchhoff–Love type. An improvement of the result of Man and Carlson on the existence of a solution for the three-dimensional problem of linear elasticity with residual stress is also obtained.
2006
Theory of linearly elastic residually stressed plates / Paroni, Roberto. - In: MATHEMATICS AND MECHANICS OF SOLIDS. - ISSN 1081-2865. - 11:(2006), pp. 137-159.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11388/57185
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