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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.
In this paper, the generalized Prandtl-Reuss (PR) constitutive equations of elasticplastic material in the presence of fimite deformations through a new approach are studied. Analyzing the generalized PR 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 PR equation and concludes that the decomposition of total deformation rate into elastic and plastic parts is not necessary in developing the generalized PR equations. Finally, the stresses of simple shear deformation are worked out.