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A rate type method for large deformation problems of nonlinear elasticity
Authors:Liang Fei  Zhang Shan-yuan
Affiliation:Taiyuan University of Technology, Taiyuan
Abstract:
In this paper. we obtain the rate-tvpe constitutive expressions of the nonlinearisotropic elastieity by using the Jaumann, Truesdell and Green-Naghdi stress rgterespectively,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 membraneunder uniaxial streteh.
Keywords:nonlinear elasticity. hypoelasticity. large deformation. stressrate tensor
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