Plane Stress and Plane Strain in Orthotropic and Anisotropic Media
AbstractUsing the concepts embodied in the equations of stress equilibrium, strain compatibility and Hooke's law, the partial differential equations of plane stress and plane strain characteristic of homogeneous orthotropic bodies were derived. The plane stress problem requires the simultaneous solutions of five differential equations. Normally only one of the equations, that requiring compatibility of strain in the plane, is solved. In contrast, the plane strain problem requires the solution of but one differential equation.
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