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.

# Some Identity Relations between Plane Problems for Visco-and Elasticity

• Publish Date: 1997-12-15
• 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(Xu,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.
•  [1] R.M.Christensen,Theory of hiscoelasticity,Academic Press.New York (1982),《粘弹性力学引论》,科学出版社,北京,(中译本)(1990). [2] 杨挺青,《粘弹性力学》,华中理工大学出版社(1990). [3] 董克智、薛明德、陆明万,《张量分析》北京,清华大学出版社(1986). [4] 程昌钧,《弹性力学》,兰州,兰州大学出版社(1995). [5] Yang Tingqing,Siress analysis of viscoelastic thick-walled combinatory cylinden,ASME 1984 PVP Conference (1984). [6] M,K Miller and W,T,Guy,Jr.Numerical inversion of the Laplace transform by use of Jacobi polynimals,SIAM J Nnmer,Anal.,3(4) (1966),624-635.

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