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The exact linear three-dimensional equations for a elastically monoclinic (13 constant) plate of constant thickness are reduced without approximation to a single 4th order differential equation for a thickness-weighted normal displacement plus two auxiliary equations for weighted thickness integrals of a stress function and the normal strain. The 4th order equation is of the same form as in classical...
The exact theory of linearly elastic beams developed by Ladevèze and Ladevèze and Simmonds is limited to prismaticbeams. Herein, the theory is extended to circular beams of narrow rectangular cross section, using the equations of plane stress for an anisotropic elastic body. Explicit formulas are given for the cross-sectional material operators that appear in the overall beamlike stress–strain relations...
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