2-DIMENSIONAL CONTACT ON AN ANISOTROPIC ELASTIC HALF-SPACE

被引:28
作者
FAN, H [1 ]
KEER, LM [1 ]
机构
[1] NORTHWESTERN UNIV,DEPT MECH ENGN,EVANSTON,IL 60208
来源
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1994年 / 61卷 / 02期
关键词
D O I
10.1115/1.2901437
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The two-dimensional contact problem for a semi-infinite anisotropic elastic media is reconsidered here by using the formalism of Eshelby et al. (1953) and Stroh (1958). The approach of analytic function continuation is employed to investigate the half-space contact problem with various mixed boundary conditions applied to the half-space. A key point of the solution procedure suggested in the present paper is its dependence on a general eigenvalue problem involving a Hermitian matrix. This eigenvalue problem is analogous to the one encountered when investigating the behavior of an interface crack (Ting, 1986). As an application, the interaction between a dislocation and a contact strip is solved. The compactness of the results shows their potential for utilization to solve the problem of contact of a damaged anisotropic half-space.
引用
收藏
页码:250 / 255
页数:6
相关论文
共 13 条
[1]  
[Anonymous], 1982, THEORY DISLOCATIONS
[2]   FREE-SURFACE (RAYLEIGH) WAVES IN ANISOTROPIC ELASTIC HALF-SPACES - THE SURFACE IMPEDANCE METHOD [J].
BARNETT, DM ;
LOTHE, J .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1985, 402 (1822) :135-152
[3]   THE INFLUENCE OF CRACK FACE FRICTION AND TRAPPED FLUID ON SURFACE INITIATED ROLLING-CONTACT FATIGUE CRACKS [J].
BOWER, AF .
JOURNAL OF TRIBOLOGY-TRANSACTIONS OF THE ASME, 1988, 110 (04) :704-711
[4]   LINE CONTACT BETWEEN A RIGID INDENTER AND A DAMAGED ELASTIC BODY [J].
BRYANT, MD ;
MILLER, GR ;
KEER, LM .
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1984, 37 (AUG) :467-478
[5]  
England A.H., 1971, COMPLEX VARIABLE MET
[6]  
ERDOGAN F, 1961, 4TH P US NAT C APPL, P547
[7]   ANISOTROPIC ELASTICITY WITH APPLICATIONS TO DISLOCATION THEORY [J].
ESHELBY, JD ;
READ, WT ;
SHOCKLEY, W .
ACTA METALLURGICA, 1953, 1 (03) :251-259
[8]   INTERFACIAL CRACK-TIP FIELD IN ANISOTROPIC ELASTIC SOLIDS [J].
GAO, H ;
ABBUDI, M ;
BARNETT, DM .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1992, 40 (02) :393-416
[9]  
Green A., 1954, THEORETICAL ELASTICI
[10]   ELASTIC SURFACE WAVES IN CRYSTALS [J].
INGEBRIGTSEN, KA ;
TONNING, A .
PHYSICAL REVIEW, 1969, 184 (03) :942-+