关于一个轴对称弹塑性扭转问题

杨孝平; 周叔子; 李光耀

关于一个轴对称弹塑性扭转问题

1.
南京理工大学, 南京 210094;
2.
湖南大学, 长沙 410082;
3.
贵州大学, 贵阳 550025

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出版历程
- 收稿日期: 1995-11-26
- 修回日期: 1996-10-26
- 刊出日期: 1997-07-15

On an Axially Symmetric Elastic-Plastic Torsion Problem

1.
Nanjing University of Science & Technologiy, Nanjing 210094, P.R. China;
2.
Hu'nan University, Changsha 410000, P. R. China;
3.
Guizhou University, Guiyang 550000, P. R. China

摘要

摘要: 本文讨论一个轴对称的弹塑性扭转问题.利用惩罚法,反射边界,Bernstein估计和逆Holder不等式,通过研究相应的具有混合边界条件的互补边值问题,得到了解的正则性.
- 互补边值问题 /
- 惩罚法 /
- Bernstein估计 /
- 正则性
Abstract: This paper discussed an axially symmetric elastic-plastic torsion problem. Invirtue of penalty method, reflection, boundaries, Bernstem estimate and reverse Holderinequality, on account of studying the corresponding complementary boundary problem which had mixed boundary conditions, the regularity of the solutions was established.
- complementary boundary problem /
- penalty method /
- Bernstein estimate /
- regularity

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参考文献(15)

[1]	M.Biroli and U.Mosco.Stability and homogenization for nonlinear variationalinequalities with irregular obstacles and quadratic growth,Nonli.Anal.,7,1 (1983),41～60.
[2]	J.M.Bony,Principle du maximum dans les espaces de Sobolev,C.R.A.S.,26(1967),333～336.
[3]	C.W.Cryer,The solution of the axisymmetric elastic-plastic torsion of a shaft usingvariational inequalities.J.Math.Anal.Appl.,7(1980),535～570.
[4]	L.C.Evans,A second order elliptic equation with gradient constraint,Communicationsin PDEs.,4(1979),557～572.
[5]	M.Giaquinta,Multiple Integrals in the Calculus of Variations and Nonlinear EllipticSystems,Princeton Univ.Press,Princeton (1983).
[6]	D.Gilbary and N.S.Trudinger.Elliptic Partial Differential Equations of Second Order,Spring-Verlag,New York (1983).
[7]	A.Huber,On the uniqueness of generalized axially symmetric potentials,Ann.of Math.,60,2 (1954),351～358.
[8]	H.Ishii and S.Koike,Boundary regularity and uniqueness for an elliptic equation withgradient constraint.Comm.in PDEs.,8,(1983),317～346.
[9]	D.Kinderlehrer and G.Stampacchia,An Introduction to Variational Inequalities andTheir Applications,Acad.Press.New York (1980).
[10]	T.W.Ting.Elastic-plastic torsion of convex cylindrical bars,J.Math.Mech.,1(1969),531～551.
[11]	T.W.Ting.Elastic-plastic torsion problem over multiply connected domains,Ann.Scuola Norm Sup.,Pisa.4,(1977),291～312.
[12]	M.Wiegner,The C-character of solutions of sccond order elliptic equations withgradient constraint,Comm.in PDEs.,6,3 (1981).361～371.
[13]	杨孝平,关于无界系数的非线性椭圆变分不等式,湖南大学学报(数学专辑),15(1)(1988),222-231.
[14]	周叔子,关于一类轴对称的自由边界问题,应用数学学报,6(4)(1983),420-432.
[15]	周叔子,《变分不等式及其有限元方法》,湖南大学出版社.长沙(isas).