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 引用本文: 戴天民. 非局部非对称弹性理论混合边值问题的提法[J]. 应用数学和力学, 2000, (1): 25-29.
Dai Tianmin. The Mixed Boundary-Value Problem for Nonlocal Asymmetric Elasticity[J]. Applied Mathematics and Mechanics, 2000, (1): 25-29.
 Citation: Dai Tianmin. The Mixed Boundary-Value Problem for Nonlocal Asymmetric Elasticity[J]. Applied Mathematics and Mechanics, 2000, (1): 25-29.

非局部非对称弹性理论混合边值问题的提法

作者简介:戴天民(1931~ ),男,满族.博士,博导,教授.已发表专著12部,论文50余篇.
• 中图分类号: O343.2

The Mixed Boundary-Value Problem for Nonlocal Asymmetric Elasticity

• 摘要: 从完全的虚功和虚功率原理以及广义Piola定理出发一并推导出非局部非对称弹性理论的运动方程、所有边界条件和全能量方程.把这里给出的边界条件和高键,戴天民的相应结果加在一起即可表述非局部非对称线性弹性理论的混合边值问题.
•  [1] Atkinson C.On some recent crack tip stress calculations in non-local elasticity[J].Arch Mech,1980,32:317～328. [2] Atkinson C.Crack problem is non-local elasticity[J].Arch Mech,1980,32:567～614. [3] Atkinson C.Non-local clasticity[A].In:Int Symposium on Defects & Fracture[C].Poland,1980,13～17. [4] Atkinson C.Some problems associated with some current non-local theories of clasticity[A].In:5th Int Symposium of CMDS[C].Balkema:Nottingham,1985,85～88. [5] Eringen A C,Speziale C G,Kim B S.Crack tip problem in nonlocal clasticity[J].J Mech Phys Solids,1977,25:339～3564. [6] Eringen A C.Line crack subject to shear[J].Int J Fracture,1978,14:365～379. [7] Ari N,Eringen A C.Non-local stress field at Griffith crack[J].Cryst Latt Def and Amorph Mat,1983,10:33～38. [8] 王锐.非局部弹性体中的裂纹问题[J].中国科学(A 辑),1989,19(10):1056~1064. [9] 王锐.非局部弹性理论中的混合边值问题[J].科学通报,1989,34(6):412~414. [10] 黄再兴,樊蔚勋,黄维扬.关于非局部场论的几个新观点及其在断裂力学中的应用(Ⅰ)[J].应用数学和力学,1997,18(1):45~54. [11] Eringen A C.Nonlocal polar field theories[A].in:A C Eringened.Continuum Physics[C].Vol Ⅳ,Academic Press,1976. [12] 高键.博士论文[D].徐州:中国矿业大学,1988. [13] 高键,戴天民.具有非局部体力矩的非局部弹性理论[J].力学学报,1990,22(4):446~456. [14] 高键,陈至达.非对称的非局部弹性固体理论[J].应用数学和力学,1992,13(4):793~804. [15] Truesdell C,Toupin R.The Classical Field Theories[A].In:S Fluegge Ed.Handbuch der Physik,Vol.Ⅲ/1,Springer,1960.
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• 被引次数: 0
出版历程
• 收稿日期:  1998-09-28
• 修回日期:  1998-09-28
• 刊出日期:  2000-01-15

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