Generalized Variational Principles of the Viscoelastic Body With Voids and Their Applications

SHENG Dong-fa; CHENG Chang-jun; FU Ming-fu

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SHENG Dong-fa, CHENG Chang-jun, FU Ming-fu. Generalized Variational Principles of the Viscoelastic Body With Voids and Their Applications[J]. Applied Mathematics and Mechanics, 2004, 25(4): 345-353.

Citation:

SHENG Dong-fa, CHENG Chang-jun, FU Ming-fu. Generalized Variational Principles of the Viscoelastic Body With Voids and Their Applications[J]. Applied Mathematics and Mechanics, 2004, 25(4): 345-353.

Citation:

SHENG Dong-fa, CHENG Chang-jun, FU Ming-fu. Generalized Variational Principles of the Viscoelastic Body With Voids and Their Applications[J]. Applied Mathematics and Mechanics, 2004, 25(4): 345-353.

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Generalized Variational Principles of the Viscoelastic Body With Voids and Their Applications

1.
Shanghai Institute of Applied Mathematics and Mechanics, Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China;

Received Date: 2002-10-25
Rev Recd Date: 2003-11-06
Publish Date: 2004-04-15

Abstract

Abstract

From the Boltzmann's constitutive law of viscoelastic materials and the linear theory of elastic materials with voids,a constitutive model of generalized force fields for viscoelastic solids with voids was given.By using the variational integral method,the convolution-type functional was given and the corresponding generalized variational principles and potential energy principle of viscoelastic solids with voids were presented It can be shown that the variational principles correspond to the did ferential equations and the initial and boundary conditions of viscoela stic body with voids. As an applicanon,a generalized variational prindple of viscoelastic Timoshenko beams with damage was obtained which corresponds to the differential equations of generalized motion and the initial and boundary conditions of beams. The variational principles provide a way for solving problems of viscoelastic solids with voids.
- viscoelaslic solid with void,
- varialional integral method,
- generalized variational principle,
- generalized potential energy principle,
- Timoshenko beam

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References(11)

References

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