Existence of a weak solution in an infinite viscoelastic strip with a semi-infinite crack

被引:8
|
作者
Itou, H [1 ]
Tani, A [1 ]
机构
[1] Keio Univ, Dept Math, Yokohama, Kanagawa 2238522, Japan
来源
关键词
Initial-boundary value problems; laplace transform; weak solutions;
D O I
10.1142/S0218202504003519
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study an initial-boundary value problem in an infinite viscoelastic strip with a semi-infinite fixed crack. For this problem we prove the existence and uniqueness of a weak solution which is prescribed on each side of the extended crack in Sobolev-type spaces.
引用
收藏
页码:975 / 986
页数:12
相关论文
共 50 条
  • [41] Anti-plane analysis of semi-infinite crack in piezoelectric strip
    Guo, Jun-hong
    Liu, Ping
    Lu, Zi-xing
    Qin, Tai-yan
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2011, 32 (01) : 75 - 82
  • [42] The problem of an orthotropic semi-infinite strip with a crack along the fixed end
    Loboda, VV
    ENGINEERING FRACTURE MECHANICS, 1996, 55 (01) : 7 - 17
  • [43] SOLUTION OF FIRST FUNDAMENTAL PROBLEM OF ELASTICITY THEORY FOR AN INFINITE STRIP WITH SEVERAL SEMI-INFINITE SLITS
    CHIGAREV, VN
    PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1977, 41 (04): : 720 - 727
  • [44] EXISTENCE THEOREMS IN SEMI-INFINITE PROGRAMS
    YAMASAKI, M
    LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS, 1983, 215 : 93 - 106
  • [45] A SEMI-INFINITE CRACK PENETRATING AN INCLUSION
    WU, CH
    JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1988, 55 (03): : 736 - 738
  • [46] External crack in a semi-infinite cylinder
    Manivachakan, K.
    Chakrabarti, A.
    Journal of the Indian Institute of Science, 1990, 70 (04):
  • [47] A Crack Problem in the Semi-Infinite Plane
    Li, Xinxin
    Ding, Yun
    Chen, Qiuying
    2017 IEEE 3RD INFORMATION TECHNOLOGY AND MECHATRONICS ENGINEERING CONFERENCE (ITOEC), 2017, : 980 - 983
  • [48] Flexure of an infinite plate, having in it a semi-infinite straight crack
    Barnard, MM
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1935, 15 : 121 - 137
  • [49] The semi-infinite strip under concentrated load. An exact solution
    Kovalenko, MD
    Shibirin, SV
    DOKLADY AKADEMII NAUK, 1997, 356 (06) : 763 - 765
  • [50] Moving semi-infinite mode-iii crack inside the semi-infinite elastic media
    Mandal P.
    Journal of Theoretical and Applied Mechanics (Poland), 2020, 58 (03): : 649 - 659