非局部非对称弹性理论混合边值问题的提法

戴天民

非局部非对称弹性理论混合边值问题的提法

戴天民

辽宁大学数学应用中心和数学系, 沈阳 110036

基金项目: 国家自然科学基金(19672023);辽宁省科研基金(95211011)

详细信息

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
计量
- 文章访问数: 2282
- HTML全文浏览量: 132
- PDF下载量: 667
- 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

The Mixed Boundary-Value Problem for Nonlocal Asymmetric Elasticity

Dai Tianmin

Center for the Application of Mathematics & Department of Mathematics, Liaoning University, Shenyang 110036, P R China

摘要

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.
- 非局部非对称弹性理论 /
- 虚功和虚功率原理 /
- 混合边值问题
Abstract: In this paper,the equations of motion and all boundary conditions as well as the energy equation for non-local asymmetric elasticity are derived together from the complete principles of virtual work and virtual power as well as the generalized Piola theorem.Adding the boundary conditions presented here to the results by Gao Jian and Dai Tianmin,the mixed boundary-value problem of the non-local asymmetric linear elasticity are formulated.
- non-local asymmetric elasticity /
- principles of virtual work and power /
- mixed boundary-value problem

HTML全文

参考文献(15)

[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 G_riffith 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.