非线性弹性动力学解的存在性

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The Existence of Solutions in Nonlinear Elastodynamics

Shanghai University, Shanghai Institute of Applied Mathematicsand Mechanics, Shanghai 200072, P. R. China

摘要: 在小变形假定的前提一下,本文证明具有一般非线性本构方程的弹性动力学系统在混合型边值约束下的解的存在性,同时在更弱的条件下可得到经典弹性动力学解的存在性.
- 非线性 /
- 本构方程 /
- 弹性动力学 /
- 存在件
Abstract: Under the small deformation assumption this paper shows the existence of solution for the system of elastic dynamics with the general nonlinear constitutive laws.and the existence of classical solution can be found under weaker conditions.
- nonlinear /
- constitutive law /
- elastodynamics /
- existence

[1]	M. E. Gurtin, The Linear Theory of Elasticity: G. Fichera, The Existence Theorems mElasticity. Handbuch der Physik, Vol: VIa/2, Springer. Berlin (1972).
[2]	T. Valent. Boundary Value Problems of Finite Elasticity Springer-Verlag, (1988).
[3]	G. Duvaut. and J. L. Lions. Inequalities in Mechanices and Physics, Springer, Berlin(1976).
[4]	F. Lene, Sur les materiaux elastiques a energie de deformation non quadratique. J. Mec,13 (1974), 499~534.
[5]	J. J. Moreau. La convexite en statique, Analyse convere et ses application, (ed. by J. P.Aubin) Lecture Notes Fcon. and Math. Systems. 102 (1974), 141~167.
[6]	B. Nayroles, Duality and Convexity in Solid Equilibrium Problems, Laboratoire Mec. et d'Acoustique, C. N. R. S., Marseille (1974).
[7]	P. D. Panagitopoluos Inequality Problems in Mechanics and Its application, Birkhaüser,Basel (1985).
[8]	郭友中,固体力学中的不等式问题,《现代数学与力学》,北京大学出版社(1987),143-164.

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