A Rate Type Method for Large Deformation Problems of Nonllnear Elasticity

Liang Fei; Zhang Shan-yuan

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Liang Fei, Zhang Shan-yuan. A Rate Type Method for Large Deformation Problems of Nonllnear Elasticity[J]. Applied Mathematics and Mechanics, 1994, 15(2): 121-128.

Citation:

Liang Fei, Zhang Shan-yuan. A Rate Type Method for Large Deformation Problems of Nonllnear Elasticity[J]. Applied Mathematics and Mechanics, 1994, 15(2): 121-128.

Citation:

Liang Fei, Zhang Shan-yuan. A Rate Type Method for Large Deformation Problems of Nonllnear Elasticity[J]. Applied Mathematics and Mechanics, 1994, 15(2): 121-128.

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A Rate Type Method for Large Deformation Problems of Nonllnear Elasticity

Taiyuan University of Technology, Taiyuan

Received Date: 1992-09-09
Publish Date: 1994-02-15

Abstract

Abstract

In this paper, we obtain the rate-tvpe constitutive expressions of the nonlinear isotropic elastieity by using the Jaumann, Truesdell and Green-Naghdi stress rate respectively,Through analysing the simple shear deformation for Mooney-Rivlin material,three kinds of rate-type constitutive equations are verified to be equivalent to the original equation.Rate-type variational prineiples are also presented, and the Ritzmethod is used to obtain the numerical solution of a reetangular rubber membrane under uniaxial stretch.
- nonlinear elasticity,
- hypoelasticity,
- large deformation,
- stress rate tensor

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References(11)

References

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