半无限带状各向异性材料的应力效应衰减估计  

Stress Effect Decay Estimates for Anisotropic Material in a Semi_Infinite Strip

作　　者：蔡崇喜[1,2] 林长好[1,2] 

机构地区：[1]中山大学应用力学与工程系 [2]华南师范大学数学系

出　　处：《应用数学和力学》1999年第3期286-294,共9页Applied Mathematics and Mechanics

基　　金：广东省科委资助

摘　　要：对带端面负载的半无限带状各向异性弹性材料建立了Ｓａｉｎｔ＿Ｖｅｎａｎｔ原理·应用能量方法确立了应力效应衰减率的下界，得出了用各向异性材料的弹性常量表示的估计显式·最后，为了说明所得结果，对带端面负载、纤维偏离主轴的石墨＿环氧树脂的衰减率给出数值实例·In this paper, Saint_Venant's principle for anisotropic material in an end_loaded. semi_infinite elastic strip is established. Energy method is used to establish the lower bounds of the decay estimate of stress effect. An explicit estimate formula in terms of the elastic constants of the anisotropic materials is presented. Finally, a numerical example for an end_loaded, off_axis, graphite_epoxy strip is given to illustrate the results.

关 键 词：椭圆方程 应力衰减估计 弹性问题 各向异性材料 

分 类 号：O343.8[理学—固体力学] O175.25[理学—力学]