Bifurcation and stability of homogeneous deformations of an elastic body under dead load tractions with Z
2 symmetry |
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Authors: | Yi-Chao Chen |
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Institution: | (1) Department of Theoretical and Applied Mechanics, Cornell University, 14853-1503 Ithaca, NY, USA;(2) Present address: Department of Mechanical Engineering, University of Houston, 77204 Houston, TX, USA |
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Abstract: | An analysis is given of bifurcation and stability of homogeneous deformations of a homogeneous, isotropic, incompressible elastic body subject to three perpendicular sets of dead-load surface tractions of which two have equal magnitude. A minimization problem is formulated within the framework of non-linear elasticity, which leads to a bifurcation problem with Z
2 symmetry. Various bifurcation diagrams are deduced by using singularity theory, and stabilities of solution branches are examined. |
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Keywords: | |
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