Bifurcation Conditions for a Thick Elastic Plate under Thrust.
LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS
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CTURAL MEMBERS, DEFORMATION, ELASTIC PROPERTIES, MATHEMATICAL ANALYSIS, STRAINMECHANICS, TENSOR ANALYSIS, STABILITYBIFURCATION THEORY, PLATESSTRUCTURAL MEMBERSA thick rectangular plate of incompressible isotropic elastic material is subjected to a pure homogeneous deformation by tensile forces or thrusts applied to a pair of opposite faces. The theory of small deformations superposed on finite deformations is applied to determine the critical conditions under which bifurcation solutions i.e. adjacent equilibrium positions can exist. The adjacent equilibrium positions considered are those for which the superposed deformation is two-dimensional and is coplanar with the loading force and the thickness direction of the plate, the faces of the plate normal to its thickness being force-free. Modified author abstract