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
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 7 条
[1]   Solvability of initial-boundary value problems in bending of plates [J].
Chudinovich, I ;
Constanda, C .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2000, 51 (03) :449-466
[2]   Existence and integral representations of weak solutions for elastic plates with cracks [J].
Chudinovich, I ;
Constanda, C .
JOURNAL OF ELASTICITY, 1999, 55 (03) :169-191
[3]   A boundary value problem for an infinite elastic strip with a semi-infinite crack [J].
Itou, H ;
Tani, A .
JOURNAL OF ELASTICITY, 2002, 66 (03) :193-206
[4]   GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SMALL SOLUTIONS TO NONLINEAR VISCOELASTICITY [J].
KAWASHIMA, S ;
SHIBATA, Y .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 148 (01) :189-208
[5]  
Landau LD, 1986, THEORY ELASTICITY
[6]  
Mizohata S., 1973, Theory of Partial Differential Equations
[7]   DYNAMIC CRACK-PROPAGATION IN A VISCOELASTIC STRIP [J].
POPELAR, CH ;
ATKINSON, C .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1980, 28 (02) :79-93