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 Γ-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 SAGE Publications.
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 Γ-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 SAGE Publications.File in questo prodotto:
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