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变形能分解的新概念与圣维南原理
引用本文:陶伟忠,孔超群.变形能分解的新概念与圣维南原理[J].上海力学,1995,16(1):27-34.
作者姓名:陶伟忠  孔超群
作者单位:上海城市建设学院 (陶伟忠),上海城市建设学院(孔超群)
摘    要:在小变形情况下分析了三维各向异性弹塑性体当表面小区域受载时的变形能,所得表达式的每一项都具有明确的物理意义,能清晰地显示出载荷的各特征因素对变形能的贡献,文中提出的有关变形能分解的新概念对于揭示圣维南原理所描述现象的力学机理具有重要意义。

关 键 词:弹塑性力学  变形能  圣维南原理

A NEW RECOGNITION ON THE RESOLUTION OF STRAIN ENERGY AND SAINT-VENANT'S PRINCIPLE
Tao Weizhong Kong Chaoqun.A NEW RECOGNITION ON THE RESOLUTION OF STRAIN ENERGY AND SAINT-VENANT''''S PRINCIPLE[J].Chinese Quarterly Mechanics,1995,16(1):27-34.
Authors:Tao Weizhong Kong Chaoqun
Institution:Shanghai Institute of Urban Construction
Abstract:This paper presents an analysis of strain energy in a three dimensional anisotropic elasto-plastic body under the action of forces in a small surface region in case of small deformation. Each term of the total resultant strain energy shows clearly its physical meaning taking part the contribution of corresponding characteristic element of loads to the strain energy. Some significient results concerning Saint- Venant's principle are manisfested. From the analysis the total strain energy may be resolved into two parts: one part of which has the same value with various distributions of statically equivalent loads playing a main role and the other is different for different distribution of loads which decays rapidly.
Keywords:Theory of elasticity and plasticity  Strain energy  Saint-Venant's principle    
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