Some Identity Relations between Plane Problems for Visco-and Elasticity

Yang Xiao; Cheng Changjun

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Yang Xiao, Cheng Changjun. Some Identity Relations between Plane Problems for Visco-and Elasticity[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1081-1088.

Citation:

Yang Xiao, Cheng Changjun. Some Identity Relations between Plane Problems for Visco-and Elasticity[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1081-1088.

Citation:

Yang Xiao, Cheng Changjun. Some Identity Relations between Plane Problems for Visco-and Elasticity[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1081-1088.

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Some Identity Relations between Plane Problems for Visco-and Elasticity

Yang Xiao¹,
Cheng Changjun²

1.
Department of Mechanics, Lanzhou Univercity, Lanzhou 730000, P. R. China;
2.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received Date: 1996-03-08
Publish Date: 1997-12-15

Abstract

Abstract

In this paper.the boundary value problems of plane problems with a simply-or multiply-connected domain for isotropic linear visca-elosticity are first established by terms of Airy stress function F(X_u,t). Secondly some identity relations between displacements and stresses for plane problems of sisco-and elasticity are discussed indetait and some meaningful conclusions are obtained As an example the deformation response for viscoelastic plate with a small circular hote at the center is analyzed undera uniasial uniform extension.
- viscoelasticity,
- plane problem,
- Airy stress function,
- identity relation,
- integral constitutive relation

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References(6)

References

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