Study on the Generalized Prandtl-Reuss Constitutive Equation and the Corotational Rates of Stress Tensor

Shen Lijun; Pan Lizhou; He Fubao

Volume 19 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(8): 689-696

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, 1998, 19(8): 689-696.

Citation:

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, 1998, 19(8): 689-696.

Citation:

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, 1998, 19(8): 689-696.

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Study on the Generalized Prandtl-Reuss Constitutive Equation and the Corotational Rates of Stress Tensor

1.
Materials Science and Mechanics Research Center, Ningbo University, Ningbo, Zhejiang 315211, P. R. China;
2.
Shanghai Institute of Applied Mathematics and Mechanics; Shanghai University, Shanghai 200072, P. R. China

Received Date: 1997-10-17
Rev Recd Date: 1998-05-11
Publish Date: 1998-08-15

Abstract

Abstract

In this paper,the generalized Prandtl-Reuss(P-R)constitutive equations of elastic-plastic material in the presence of finite deformations through a new approach are studied.I t analyzes the generalized P-R equation based on t he 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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References(13)

References

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