Basic Themes and Pretty Problems of Nonlinear Solid Mechanics

被引：0
|
作者：
Stuart S. Antman
Jian-Guo Liu
机构：
[1] University of Maryland,Department of Mathematics Institute for Physical Science and Technology and Institute for Systems Research
[2] University of Maryland,Department of Mathematics and Institute for Physical Science and Technology
来源：
Milan Journal of Mathematics | 2007年 / 75卷
关键词：
Primary: 74-02; Secondary: 74B20, 74D10, 74G75, 74H35, 74H40, 74J40, 74K10, 74M05; Nonlinear solid mechanics; radial motions; existence; multiplicity; blowup; inverse problems; quasistaticity; control; invariant artificial viscosity and shock structure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The first part of this paper describes some important underlying themes in the mathematical theory of continuum mechanics that are distinct from formulating and analyzing governing equations. The main part of this paper is devoted to a survey of some concrete, conceptually simple, pretty problems that help illuminate the underlying themes. The paper concludes with a discussion of the crucial role of invariant constitutive equations in computation.
引用
收藏
页码：135 / 176
页数：41
相关论文
共 50 条
  • [1] Basic themes and pretty problems of nonlinear solid mechanics
    Antman, Stuart S.
    Liu, Jian-Guo
    MILAN JOURNAL OF MATHEMATICS, 2007, 75 (01) : 135 - 176
  • [2] Duality, inverse problems and nonlinear problems in solid mechanics - Preface
    Leblond, Jean-Baptiste
    Markenscoff, Xanthippi
    COMPTES RENDUS MECANIQUE, 2008, 336 (1-2): : 3 - +
  • [3] A Comparison of EFGM and FEM for Nonlinear Solid Mechanics Problems
    Kumar, R.
    Singh, I. V.
    Mishra, B. K.
    Cardoso, R.
    Yoon, J. W.
    ADVANCES IN ENGINEERING PLASTICITY XI, 2013, 535-536 : 434 - +
  • [4] Solution of strongly nonlinear problems in the mechanics of a solid deformable body
    Tsykhanovskii, VK
    INTERNATIONAL APPLIED MECHANICS, 1999, 35 (03) : 233 - 237
  • [5] On solution of strongly nonlinear problems in mechanics of a solid deformed body
    Tsykhanovskij, V.K.
    Prikladnaya Mekhanika, 1999, 35 (03): : 22 - 26
  • [6] Approximate Solutions to Nonlinear Problems of Solid Mechanics by Quasilinearization Method
    Stepanova, L., V
    Zhabbarov, R. M.
    1ST VIRTUAL EUROPEAN CONFERENCE ON FRACTURE - VECF1, 2020, 28 : 2277 - 2282
  • [7] Solution of strongly nonlinear problems in the mechanics of a solid deformable body
    V. K. Tsykhanovskii
    International Applied Mechanics, 1999, 35 : 233 - 237
  • [8] The Finite Cell Method for Geometrically Nonlinear Problems of Solid Mechanics
    Schillinger, Dominik
    Kollmannsberger, Stefan
    Mundani, Ralf-Peter
    Rank, Ernst
    9TH WORLD CONGRESS ON COMPUTATIONAL MECHANICS AND 4TH ASIAN PACIFIC CONGRESS ON COMPUTATIONAL MECHANICS, 2010, 10
  • [9] Nonlinear solid mechanics
    Ibrahimbegovic, Adnan
    Solid Mechanics and its Applications, 2009, 160 : 1 - 594
  • [10] HUSSERLIAN THEMES IN HEIDEGGER, THE BASIC PROBLEMS OF PHENOMENOLOGY
    STAPLETON, TJ
    PHILOSOPHY TODAY, 1983, 27 (01) : 3 - 17
12345