带有摩擦的单边接触大变形问题的研究(Ⅰ)——增量变分方程

尚勇; 陈至达

带有摩擦的单边接触大变形问题的研究(Ⅰ)——增量变分方程

尚勇,
陈至达

中国矿业大学北京研究生部

计量
- 文章访问数: 1744
- HTML全文浏览量: 96
- PDF下载量: 453
- 被引次数: 0
出版历程
- 收稿日期: 1988-11-02
- 刊出日期: 1989-12-15

On Large Deformation Unilateral Contact Problem with Friction(Ⅰ)——Incremental Variational Equations

Beijing Graduate School, China University of Mining, Beijing

摘要

摘要: 本文以非线性连续体几何场论为基本理论和方法,建立了拖带坐标下弹塑性大变形增量变分方程的更一般表示式.给出了二维、三维连续体接触边界变化率公式,得到了变边界接触大变形增量变分公式和速率型变分不等式,为有限元计算求解带有摩擦弹塑性大变形接触问题提供了理论基础.

Abstract: Based on the theory and technique of nonlinear geometric field theory of continuum, a more general incremental variational equation for elastic and plastic large deformation in co-moving coordinate is established in this paper. An expression for two and three-ditnensicnal continua is derived, and the incremental variational equation for large deformation of changing boundary contact and the variational inequality in rate form tire obtained, which provides the theoretical basis for the computation of elastic-plastic large deformation contact problem with friction.

HTML全文

参考文献(15)

[1]	陈至达,《有理力学》,中国矿业大学出版社(1988).
[2]	钱伟长,《变分法及有限元》,科学出版社(1980).
[3]	尚勇,带有接触摩擦边界弹塑性天变形问题的理论和有限元分析,中国矿业大学博士学位论文(1987).
[4]	秦忠,基于新的大变形理论的非线性有限元及其应用,中国矿矿业大学博士学位论文(1986).
[5]	谢和平,岩石蠕变损伤非线性大变形分析及微观断裂的FRACTAL模型,中国矿业大学博士学位论文(1987).
[6]	Shang Yong and Chen Zhi-da,Analysis of large elastic-plastic deformation by finite clement method using co-moving coordinate,Proc.ICNM,Shanghai,ed.Chien Wei-zang(1985).
[7]	Fichero,G.,Problemi elastostatici con vincali unilaterali problema di Signorini conambigue conditional contorno,Mem.Acc.Naz.Lincei,Ⅷ,7a(1964).
[8]	Duvant,G.and J.L.Lions,Un probleme d'slasticitéavec frottement,J.Mec.,10(1970),409-420,.
[9]	Panagiolopoulos,P.D.,A variational inequality approach to the friction problem of Structures with convex strain energy density and application to the frictional unilateral contact problem,J.Struct.Mech.,6,3(1978),303-318.
[10]	Oden,J.T.and E.B.Pires,Contact problems in elastostatics with nonlocal friction law,TICOM Report,University of Texas,Austin(1981).
[11]	Pires,E.B.and J.T.Oden,Analysis of contact problems with friction under oscillating loads,Comp.Meth.Appl.Mech Eng.,39(1983),337-362.
[12]	Bathe,K.J.,A solution method for plane and axisymmetric contact problems,Int.J.Num.Meths.Eng.,21(1985),65-88.
[13]	Bufler,M.,Derivation of the variational inequalities and extremum principles of the frictionless elastic contact problem,Comp.Meth.Appl.Mech.Eng.,53(1985).,163-182.
[14]	Ekeland,I.and R.Teman,Convex Analysis and Variational Problems,North-Holland(1976).
[15]	Haber,R.B.and B.H.Hariandja,An Eulerian-Lagrangian finite element approach to large deformation frictional contact,Comp.and Structure,20(1985),194-201.