Guo Xingming. The Existence of Solution to the Finite Elastodynamics With Mixed Boundary Conditions[J]. Applied Mathematics and Mechanics, 1998, 19(1): 27-34.
Citation: Guo Xingming. The Existence of Solution to the Finite Elastodynamics With Mixed Boundary Conditions[J]. Applied Mathematics and Mechanics, 1998, 19(1): 27-34.

The Existence of Solution to the Finite Elastodynamics With Mixed Boundary Conditions

  • Received Date: 1996-07-05
  • Publish Date: 1998-01-15
  • In this paper the existence of solution to finite elastodynamics constrainted by mixed boundary conditions is derived when the hyperpotential and its gradient(for Green' strain) satisfy adequate conditions.
  • loading
  • [1]
    R.A.Adam,Sobolev Spaces,Academic Press,New York(1975).
    [2]
    M.S.Berger,Non linearity and Fun ction al Analysis,Academic Press(1977).
    [3]
    Y.C.Chen,W.Von Wahl,Das rand-an fangs wertproblem f r quasilineare we llenleichungen in sobolev raumen nicdriger Ordnung,J.Reine Angew.Math.,337(1982),77-112.
    [4]
    C.M.Dafermos and W.J.Heusa,Energy methods for quasilinear hyperbolic initial-boundary value problems,Applications to Elastodynamics,Arch.Rational Mech.Anal.,87(1985),267-292.
    [5]
    D.G.Ebin and R.A.Saxton,The initial-valueproblem for elastodynamics of incompressible bodies,Arch.Rational Mech.Anal.,94(1996),15-38.
    [6]
    D.G.Ebin and S.R.Simanca,Deformations of incompressible bodies with free boundary,Arch.Rational Mech.Anal.,120(1992),61-97.
    [7]
    M.E.Gurtin,An Introduction to Continuum Mechanics,Academic Press,New York(1981).
    [8]
    T.J.R.Hughes,T.Kato and J.E.Marsdon,Well-posed quasilinear second-order hyperbolic systems with application to nonlinear elastodynamics and general ralativity,Arch.Rational Mech.Anal.,63(1977),273-294.
    [9]
    T.J.R.Hughes and J.E.Marsden,Mathematical Foundations of Elasticity,Prentice-Hall,Englewood Cliffs NJ.,(1983).
    [10]
    T.Kato,Linear and quasilnear equations of evolution of hyperbolic type,in Hyper bolicity(G.Daprato and G.Geymonat ed.) Centro Internazionale Malematico Estivo,Ⅱ Ciclo,Cortona(1976):125-191.
    [11]
    J.L.L ions,Quelques M thodes de Rsolution des Problmes aux Iinites Non linrires,Punod,Gauthier-Villars,(1969).
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2112) PDF downloads(675) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return