On Non-Symmetric Deformations of Neo-Hookean Solids |
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Authors: | Debra Polignone Warne Paul G. Warne |
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Affiliation: | (1) Department of Mathematics, University of Tennessee, Knoxville, TN, 37996, U.S.A;(2) Division of Mathematics and Computer Science, Maryville College, Maryville, TN, 37804, U.S.A |
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Abstract: | Deformations possible (i.e., those satisfying the governing three-dimensional equations of equilibrium and the incompressibility constraint) within a class of non-symmetric deformations for a neo-Hookean nonlinearly elastic body were determined in [1], where it was found that only three special cases of the class of deformation fields considered could be solutions. One of these is the trivial solution, one the solution describing radially symmetric deformation, and the other a (non-symmetric, non-homogeneous) deformation contained within a family of universal deformations. In this paper, the results reported in [1] are shown to hold for a substantially broadened deformation field. This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | incompressible nonlinear elasticity non-symmetric deformation fields governing partial differential equations material formulation. |
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