幂率型非线性粘弹性裂纹尖端场  

POWER LAW TYPE NONLINEAR VISCOELASTIC CRACK-TIP FIELDS

作　　者：张为民[1] 张淳源[1] 

机构地区：[1]湘潭大学建筑工程与力学学院,湘潭411105

出　　处：《固体力学学报》2004年第2期176-180,共5页Chinese Journal of Solid Mechanics

基　　金：湖南省自然科学基金 ( 0 1JJY3 0 0 1);湖南省教育厅项目 ( 0 1C0 83 )资助

摘　　要：研究幂率型非线性粘弹性裂纹尖端场 .为了推导的需要 ,首先列出了幂率型硬化材料的HRR奇异场和高阶渐近场 .论证了它们实质上是各向同性、不可压缩、幂率型、非线性弹性裂纹尖端场 .回顾了求解非线性粘弹性问题的弹性回复对应原理之后 ,给出了在第一类边界条件下求解幂率型非线性粘弹性材料裂纹问题的对应原理 .得到了幂率型非线性粘弹性材料 ,特别是改性聚丙稀的裂纹尖端应力、应变和位移场的解答 .The aim of this paper is to derive the power law type nonlinear viscoelastic crack-tip fields. For the requirement of later derivation, the HRR singular fields and the high-order asymptotic fields are first listed. It is illustrated that they are essentially the isotropic, incompressible, power law type nonlinear elastic crack-tip fields, illustrated. After a concise review of Elasticity Recovery Correspondence Principle for solving the nonlinear viscoelastic, a correspondence principle for solving crack problems of power law type nonlinear viscoelastic materials under the first type boundary condition is proposed. The solution of the crack-tip stress, strain fields for the power law type nonlinear viscoelastic materials, especially for the modified polypropylene, is obtained.

关 键 词：非线性粘弹性 弹性回复对应原理 HRR奇异场 裂纹尖端高阶渐近场 固体力学 

分 类 号：O346.1[理学—固体力学]