Theory of Linearly Elastic Residually Stressed Plates

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.