Conservation laws, duality and symmetry loss in solid mechanics

被引：4
作者：
Bui, Huy Duong [1 ]
机构：
[1] Ecole Polytech, Lab Solid Mech, Dept Mech, Palaiseau, France
[2] Lamsid CNRS Elect France, Clamart, France
来源：
INTERNATIONAL JOURNAL OF FRACTURE | 2007年 / 147卷 / 1-4期
关键词：
conservation laws; duality; symmetry; symmetry loss; inverse problem;
D O I：
10.1007/s10704-007-9145-7
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The paper deals with conservation laws which are not of the pure divergence type and thus do not provide a path-independent integral for use in Fracture Mechanics. It is shown that Duality is the right tool to re-establish the symmetry between equations and to provide conservation laws of the pure divergence type. The loss of symmetry of some energetic expressions is exploited to derive a new method for solving some inverse problems. In particular, the earthquake inverse problem is solved analytically.
引用
收藏
页码：163 / 172
页数：10
相关论文
共 34 条
  • [1] Identification of planar cracks by complete overdetermined data: Inversion formulae
    Andrieux, S
    BenAbda, A
    [J]. INVERSE PROBLEMS, 1996, 12 (05) : 553 - 563
  • [2] Reciprocity principle and crack identification
    Andrieux, S
    Ben Abda, A
    Bui, HD
    [J]. INVERSE PROBLEMS, 1999, 15 (01) : 59 - 65
  • [3] [Anonymous], 1975, FORMAL STRUCTURE PHY
  • [4] [Anonymous], 1966, FONCTIONNELLES CONVE
  • [5] BENABDA A, 2003, INVERSE 3 POSED PROB, V11, P67
  • [6] Bui H. D., 1974, Engineering Fracture Mechanics, V6, P287, DOI 10.1016/0013-7944(74)90027-7
  • [7] Bui H. D., 1984, IUTAM S FUNDAMENTAL, P597
  • [8] Bui H.D., 2006, FRACTURE MECH INVERS
  • [9] Bui H.D., 1994, Inverse Problems in the Mechanics of Materials: An Introduction
  • [10] BUI HD, 1984, CR ACAD SCI II, V298, P325
1234