粘弹性与弹性平面问题间的某些恒等关系<sup>*</sup>

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粘弹性与弹性平面问题间的某些恒等关系^*

基金项目: * 国家和甘肃省自然科学基金

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

摘要: 本文以应力函数F(x_a,t)为基本未知量,首先建立了各向同性、线性粘弹性平面问题(开孔与不开孔)的基本边值问题;其次,详细讨论了粘弹性与弹性平面问题之间位移和应力的某些恒等关系,得到了若干重要和有意义的结论.作为应用,研究了具有中心微孔的粘弹性平板在单向拉伸时微孔的变形响应.
- 粘弹性力学 /
- 平面问题 /
- 应力函数 /
- 恒等关系 /
- 积分型本构关系
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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