Interacting elliptic inclusions by the method of complex potentials

International Journal of Solids and Structures

Volumn 42, Issue 20, 2005, Pages 5491-5512

  Kushch, V I ^a   Shmegera, S V ^a   Buryachenko, V A ^b  

^a BAKUL INSTITUTE FOR SUPERHARD MATERIALS   (Ukraine)

^b UNIVERSITY OF DAYTON   (United States)

Author keywords

Complex potentials; Elliptic inclusions; Linear elasticity; Local expansion; Stress concentration; Stress intensity factor

Indexed keywords

ALGORITHMS; COMPOSITE MATERIALS; ELASTICITY; PROBLEM SOLVING; STRESS CONCENTRATION; STRESS INTENSITY FACTORS;

COMPLEX POTENTIALS; ELLIPTIC INCLUSIONS; LINEAR ELASTICITY; LOCAL EXPANSION;

LARGE SCALE SYSTEMS;

EID: 21244456122     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.02.035     Document Type: Article

References (23)

1. V.A. Buryachenko Multiparticle effective field and related methods in micromechanics of composite materials Appl. Mech. Rev. 54 2001 1 47
2. Buryachenko, V.A., Kushch,V.I., in press. Effective transverse elastic moduli of composites at non-dilute concentration of a random field of aligned fibers. ZAMP.
3. V.A. Buryachenko, and N.J. Pagano The multiscale analysis of multiple interacting inclusions problem: finite number of interacting inclusions Math. Mech. Solids 10 2005 25 62
4. J. Bystroem Influence of the inclusions distribution on the effective properties of heterogeneous media Composites: Part B 34 2003 587 592
5. G.J. Dvorak, and Y. Benveniste On transformation strains and uniform fields in multiphase elastic media Proc. Roy. Soc. London A 437 1992 291 310
6. F. Erdogan, G.D. Gupta, and M. Ratwani Interaction between a circular inclusion and an arbitrary oriented crack ASME J. Appl. Mech. 41 1974 1007 1013
7. J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems Proc. Roy. Soc. London A 241 1957 376 396
8. Golovchan,V.T., Guz, A.N., Kohanenko, Yu., Kushch, V.I., 1993. Mechanics of Composites (in 12 v.). Statics of Materials, vol. 1. Naukova Dumka, Kiev.
9. H. Horii, and S. Nemat-Nasser Elastic field of interacting inhomogeneities Int. J. Solids Structures 21 1985 731 745
10. E.A. Ivanov Diffraction of Electromagnetic Fields on Two Bodies 1968 Nauka i Technika Minsk
11. S.A. Kaloerov, and E.S. Goryanskaya Two-dimensional stress state of multiply-connected anisotropic solid with holes and cracks Theor. Appl. Mech. 25 1995 45 56
12. L.V. Kantorovich, and V.I. Krylov Approximate Methods of Higher Analysis 1964 Wiley New York
13. A.S. Kosmodamiansky Stress Distribution in the Isotropic Multiply-Connected Solids 1972 University Publ. Donetsk
14. V.I. Kushch Elastic equilibrium of a medium containing finite number of aligned spheroidal inclusions Int. J. Solids Structures 33 1996 1175 1189
15. S.-Y. Lu, and S. Kim Effective thermal conductivity of composites containing spheroidal inclusions AIChe J. 36 1990 927 938
16. M.J. Meisner, and D.A. Kouris Interaction of two elliptic inclusions Int. J. Solids Structures 32 1995 451 466
17. T. Mura Micromechanics of Defects in Solids 1982 Martinus Nijhoff Netherlands
18. Muskhelishvili, N.I., 1953. Some Basic Problems of the Mathematical Theory of Elasticity. Groningen P. Noordhoff.
19. N.-A. Noda, and T. Matsumo Singular integral equation method for interaction between elliptic inclusions ASME J. Appl. Mech. 65 1998 310 319
20. N. Sheng, M.C. Boyce, D.M. Parks, G.C. Rutledge, J.I. Abes, and R.E. Cohen Multiscale micromechanical modeling of polymer/clay nanocomposites and the effective clay particle Polymer 45 2004 487 506
21. A.C. Stevenson On the equilibrium of plates Philos. Mag. 33 Ser.7 1942 639 661
22. Tandon, G.P., Kim, R.Y., Rice, B.P., 2002. Influence of vapor-grown carbon nanocomposites on thermomechanical properties of graphite-epoxy composites. In: Proc. American Society for Composites 17th Technical Conference. Purdue University, West Lafayette, Indiana, Paper 2039.
23. J.R. Willis, and J.R. Acton The overall elastic moduli of a dilute suspension of spheres Quart. J. Mech. Appl. Math. 29 1976 163 177