Study on the generalized prandtl-reuss constitutive equation and the corotational rates of stress tensor |
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Authors: | Shen Lijun Pan Lizhou He Fubao |
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Affiliation: | 1. Materials Science and Mechanics Research Center, Ningbo University. Ningbo 315211, P. R. China;2. Shanghai Institute of Applied Mathematics and Mechanics; Shanghai University, Shanghai 200072, P. R. China |
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Abstract: | In this paper, the generalized Prandtl-Reuss (P-R) constitutive equations of elasticplastic material in the presence of fimite deformations through a new approach are studied.It analyzes the generalized P-R equation based on the material corotational rate and clarifies the puzzling problem of the simple shear stress oscillation mentioned in some literature, The paper proposes a modified relative rotational rate with which to constitute the objective rates of stress in the generalized P-R equation and concludes that the decomposition of total deformation rate into elastic and plastic parts is not necessary in developing the generalized P-R equations. Finally, the stresses of simple shear deformation are worked out. |
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Keywords: | finite elastic-plastic deformations generalized Prandtl-Reuss constitutive equations the corotational rates of stress tensor simple shear stress oscillation |
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