A generalized constitutive elasticity law for GLPD micromorphic materials,with application to the problem of a spherical shell subjected to axisymmetric loading conditions |
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Authors: | Koffi Enakoutsa |
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Institution: | Center for Advanced Vehicular Systems, Mississippi State University, Mississippi State, MS 39762, USA |
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Abstract: | In this work we propose to replace the GLPD hypo-elasticity law by a more rigorous generalized Hooke's law based on classical material symmetry characterization assumptions. This law introduces in addition to the two well-known Lame's moduli, five constitutive constants. An analytical solution is derived for the problem of a spherical shell subjected to axisymmetric loading conditions to illustrate the potential of the proposed generalized Hooke's law. |
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Keywords: | GLPD model micromorphic generalized elasticity analytical solution |
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