STUDY ON THE GENERALIZED PRANDTL-REUSS CONSTITUTIVEEQUATION AND THE COROTATIONALRATES OF STRESS TENSOR

Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (8): 735-743.

STUDY ON THE GENERALIZED PRANDTL-REUSS CONSTITUTIVEEQUATION AND THE COROTATIONALRATES OF STRESS TENSOR

沈利君¹, 潘立宙², 何福保²

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

收稿日期:1997-10-17 修回日期:1998-05-11 出版日期:1998-08-18 发布日期:1998-08-18

STUDY ON THE GENERALIZED PRANDTL-REUSS CONSTITUTIVE EQUATION AND THE COROTATIONAL RATES OF STRESS TENSOR

Shen Lijun¹, Pan Lizhou², He Fubao ²

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

Received:1997-10-17 Revised:1998-05-11 Online:1998-08-18 Published:1998-08-18

摘要/Abstract

摘要： 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.

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.

沈利君;潘立宙;何福保. STUDY ON THE GENERALIZED PRANDTL-REUSS CONSTITUTIVEEQUATION AND THE COROTATIONALRATES OF STRESS TENSOR[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(8): 735-743.

Shen Lijun;Pan Lizhou;He Fubao . STUDY ON THE GENERALIZED PRANDTL-REUSS CONSTITUTIVE EQUATION AND THE COROTATIONAL RATES OF STRESS TENSOR[J]. Applied Mathematics and Mechanics (English Edition), 1998, 19(8): 735-743.

参考文献

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STUDY ON THE GENERALIZED PRANDTL-REUSS CONSTITUTIVEEQUATION AND THE COROTATIONALRATES OF STRESS TENSOR

STUDY ON THE GENERALIZED PRANDTL-REUSS CONSTITUTIVE EQUATION AND THE COROTATIONAL RATES OF STRESS TENSOR

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