Closed-form Green's functions for transversely isotropic bi-solids with a slipping interface

Structural Engineering and Mechanics

Volumn 4, Issue 5, 1996, Pages 469-484

  Yue, Zhong Qi ^a  

^a NATIONAL RESEARCH COUNCIL CANADA   (Canada)

Author keywords

Bi materials; Closed form solutions; Elasticity; Green's functions; Integral transforms; Point body forces; Ring body forces; Slipping interface; Transversely isotropic solids

Indexed keywords

BOUNDARY ELEMENT METHOD; ELASTICITY; GREEN'S FUNCTION; INTERFACES (MATERIALS); MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; MECHANICAL PROPERTIES; PROBLEM SOLVING; SOLIDS; STRESSES; VECTORS;

BI-MATERIALS; CLOSED FORM SOLUTIONS; DISPLACEMENT DISCONTINUITY; HARMONIC FUNCTIONS; POINT BODY FORCE; RING BODY FORCE;

MECHANICS;

EID: 0030245842     PISSN: 12254568     EISSN: None     Source Type: Journal    
DOI: 10.12989/sem.1996.4.5.469     Document Type: Article

References (23)

1. Dundurs, J. and Hetenyi, H. (1965), "Transmission of force between semi-infinite solids", Journal of Applied Mechanics, ASME, 32, 671-674.
2. Dundurs, J. and Stippes, M. (1970), "Role of elastic constants in certain contact problems", J. of Applied Mechanics, ASME. 37, 965-970.
3. Elliott, H. A. (1948), "Three-dimensional stress distributions in hexagonal aeolotropic crystals", Proceedings, Cambridge Philosophical Society, 44, 522-533.
4. Eason, G., Noble, B., and Sneddon, I.N. (1955), "On certain integrals of Lipschitz-Hankel type involving products of Bessel functions", Philosophical Transaction Royal Society, London, A247, 529-551.
5. Gharpuray, V.M., Dundurs, J. and Keer, L.M. (1991), "A crack terminating at a slipping interface between two materials". Journal of Applied Mechanics, ASME, 58, 960-963.
6. Gladwell, G.M.L. and Hera, T. (1981), "The contact problem for a rigid obstacle pressed between two dissimilar elastic half-spaces". Q. Jl Mech. Appl. Math., 47(Pt. 2), 251-263.
7. Hanson, M.T. (1992), "The elastic field for conical indentation including sliding friction for transverse isotropy", J. of Applied Mechanics, ASME, 59, S123-S130.
8. Hasegawa, H. and Kondou, K. (1987), "Stress analysis of an elastic half-spae having an axisymmetric cavity." Theoretical and Applied Mechanics, Proceedings of the 32nd Japan National Congress for Applied Mechanics, 37, 339-345.
9. Hasegawa, H., Lee, V.G. and Mura, T. (1992a), "Green's functions for axisymmetric problems of dissimilar elastic solids", Journal of Applied Mechanics, ASME, 59, 312-320.
10. Hasegawa, H., Lee, V.G. and Mura, T. (1992b), "The stress fields caused by a circular cylindrical inclusion", Journal of Applied Mechanics, ASME, 59, S107-S114.
11. Lin, W. and Keer, L.M. (1989), "Three-dimensional analysis of cracks in layered transversely isotropic media", Proc. R. Soc. Lond A 424, 307-322.
12. Mura T. 1982, Micromechanics of Defects in Solids. Martinus Nijhoff Publishers, Boston.
13. Pan, Y.C. and Chou, T.W. (1979), "Green's functions for two-phase transversely isotropic materials", Journal of Applied Mechanics, ASME, 46, 551-556.
14. Plevako, K.P. (1969), "A point force inside a pair of cohering halfspace", Osnovaniya Fundamental i Mekhanika Gruntov, No. 3, 9-11.
15. Rongved, L. (1955), "Force interior to one or two joined semi-infinite solids", Proc. Sec. Midwest. Conf. Solid Mech., Lafayette, Indiana, Prudue University, 1-13.
16. Selvadurai, A.P.S. (1994), "A unilateral contact problem for a rigid disc inclusion embedded between two dissimilar elastic half-spaces", Q. Jl Mech. Appl. Math., 47(Pt. 3), 493-510.
17. Sneddon, I.N. (1972), The Use of Integral Transform, McGraw-Hill, New York.
18. Vijayakumar, S. and Cormack, D.E. (1987a), "Nuclei of strain for bi-material elastic media with sliding interface", J. Elasticity, 17, 285-290.
19. Vijayakumar, S. and Cormack, D.E. (1987b), "Green's functions for the biharmonic equation: bonded elastic media", SIAM J. of Applied Mathematics, 47, 982-997.
20. Wijeyewickrema, A.C. and Keer, L.M. (1994). "Axial decay of stresses in a layered composite with slipping interfaces". Composite Engineering, 4(9), 895-899.
21. Yu, H.Y. and Sanday, S.C. (1991), "Elastic fields in joined half-space due to nuclei of strain", Proc. R. Soc. Land., A434, 503-519.
22. Yue, Z.Q. (1995), "Elastic fields in two joined transversely isotropic solids due to concentrated forces", Int. J. Engng. Sci. 33(3), 351-369.
23. Yuuki, R., Cho, S.-B., Matsumoto. T., Kisu, H., (1987). "Efficient boundary element elastostatic analysis using Hetenyi's fundamental solution". Transaction of Japan Society of Mechanical Engineers, Series A, 53, 1581-1589.