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
  • [31] PROBLEMS OF NONLINEAR MECHANICS OF COMPOSITES - REVIEW
    TETERS, GA
    KREGERS, AF
    MECHANICS OF COMPOSITE MATERIALS, 1993, 29 (01) : 39 - 46
  • [32] Elliptic Integrals in Nonlinear Problems of Mechanics
    Anakhaev, K. N.
    DOKLADY PHYSICS, 2020, 65 (04) : 142 - 146
  • [33] Elliptic Integrals in Nonlinear Problems of Mechanics
    K. N. Anakhaev
    Doklady Physics, 2020, 65 : 142 - 146
  • [34] Homogenization of Nonlinear Problems in the Mechanics of Composites
    Sheshenin, S. V.
    Savenkova, M. I.
    MOSCOW UNIVERSITY MECHANICS BULLETIN, 2012, 67 (5-6) : 126 - 130
  • [35] On reduced models in nonlinear solid mechanics
    1600, Elsevier Ltd (60):
  • [36] On dissipative nonlinear evolutionary problems in mechanics
    Hsieh, DY
    Tang, SQ
    PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 2002, : 54 - 57
  • [37] On reduced models in nonlinear solid mechanics
    Ladeveze, Pierre
    EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2016, 60 : 227 - 237
  • [38] Models of Solid Mechanics in the Problems of Ophthalmology
    S. M. Bauer
    L. A. Venatovskaya
    E. B. Voronkova
    Vestnik St. Petersburg University, Mathematics, 2023, 56 : 493 - 511
  • [39] Models of Solid Mechanics in the Problems of Ophthalmology
    Bauer, S. M.
    Venatovskaya, L. A.
    Voronkova, E. B.
    VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS, 2023, 56 (04) : 493 - 511
  • [40] The hp-d-adaptive finite cell method for geometrically nonlinear problems of solid mechanics
    Schillinger, D.
    Duester, A.
    Rank, E.
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2012, 89 (09) : 1171 - 1202
12345