Antiplane time-harmonic green's functions for a circular inhomogeneity with an imperfect interface

Mechanics Research Communications

Volumn 34, Issue 4, 2007, Pages 352-358

  Wang, X ^a   Sudak, L J ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

Circular inhomogeneity; Imperfect interface; Time harmonic Green's function

Indexed keywords

GREEN'S FUNCTION; HARMONIC ANALYSIS; MATRIX ALGEBRA; STRESS ANALYSIS; TWO DIMENSIONAL;

CIRCULAR INHOMOGENEITY; IMPERFECT INTERFACE; STRESS FIELDS; TIME HARMONIC GREEN'S FUNCTION;

INTERFACES (MATERIALS);

EID: 34247576669     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2007.02.001     Document Type: Article

References (15)

1. Chen T. Thermal conduction of a circular inclusion with variable interface parameter. Int. J. Solids Struct. 38 (2001) 3081-3097
2. Cheng Z.Q., and Batra R.C. Exact Eshelby tensor for a dynamic circular cylindrical inclusion. ASME J. Appl. Mech. 66 (1999) 563-565
3. Denda M., Wang C.Y., and Yong Y.K. 2-D time-harmonic BEM for solids of general anisotrophy with application to eigenvalue problems. J. Sound Vibrat. 261 (2003) 247-276
4. Denda M., Araki Y., and Yong Y.K. Time-harmonic BEM for 2-D piezoelectricity applied to eigenvalue problem. Int. J. Solids Struct. 41 (2004) 7241-7265
5. Gradshteyn I.S., and Ryzhik I.M. Table of Integrals, Series and Products (1965), Academic Press, New York
6. Hashin Z. The spherical inclusion with imperfect interface. ASME J. Appl. Mech. 12 (1991) 444-449
7. Kitahara M. Boundary Integral Equation Methods in Eigenvalue Problems of Elastodynamics and Thin Plates (1985), Elsevier, Amsterdam
8. Michelitsch T.M., Levin V.M., and Gao H.J. Dynamic potentials and Green's functions of a quasi-plane piezoelectric medium with inclusion. Proc. R. Soc. Lond. A458 (2002) 2393-2415
9. Mikata Y., and Nemat-Nasser S. Elastic field due to a dynamically transforming spherical inclusion. ASME J. Appl. Mech. 57 (1990) 845-849
10. Ru C.Q., and Schiavone P. A circular inclusion with circumferentially inhomogeneous interface in antiplane shear. Proc. R. Soc. Lond. A 453 (1997) 2551-2572
11. Talbot D.R.S., and Willis J.R. Variational estimates for dispersion and attenuation of waves in random composite?III. Fiber-reinforced materials. Int. J. Solids Struct. 19 (1983) 793-811
12. Wang X.D., and Meguid S.A. Dynamic interaction between a matrix crack and a circular inhomogeneity with a distinct interphase. Int. J. Solids Struct. 36 (1999) 517-531
13. Wang X., and Zhong Z. Two-dimensional time-harmonic dynamic Green's functions in transversely isotropic piezoelectric solids. Mech. Res. Commun. 30 (2003) 589-593
14. Willis J.R. A polarization approach to the scattering of elastic waves? I. scattering by a single inclusion. J. Mech. Phys. Solids 28 (1980) 287-305
15. Willis J.R. A polarization approach to the scattering of elastic waves - II. multiple scattering from inclusions. J. Mech. Phys. Solids 28 (1980) 307-327