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Elastostatic problem for an interface rigid inclusion in a periodic two-layer space

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The article is devoted to the elastostatic three-dimensional problem of an interface sheet-like inclusion (anticrack) embedded into a periodic two-layered unbounded composite. An approximate analysis is carried out within the framework of the homogenized model with microlocal parameters. The formulation and the method of solving the general problem for an arbitrarily shaped inclusion is presented. As an example illustrating this method, the problem for a rigid circular inclu- sion under perpendicular tension is solved explicitly and discussed from the point of view of failure theory.
Rocznik
Strony
42--50
Opis fizyczny
Bibliogr. 27 poz., rys.
Twórcy
Bibliografia
  • 1. Berezhnitskii L.T., Panasyuk V.V., Stashchuk N.G. (1983), The interaction of rigid linear inclusions and cracks in a deformable body, (in Russian), Naukowa Dumka, Kiev.
  • 2. Chaudhuri R.A. (2006), Three-dimensional asymptotic stress field in the vicinity of the circumference of a bimaterial penny-shaped interfacial discontinuity, Int. J. Fracture, Vol. 141, 211-225.
  • 3. Fabrikant V.I. (1989), Applications of potential theory in mechanics: a selection of new results, Kluwer Academic Publishers, Dordrecht.
  • 4. Fabrikant V.I. (1991), Mixed boundary value problems of potential theory and their applications in engineering, Kluwer Academic Publishers, Dordrecht.
  • 5. Gladwell L.B.M. (1999), On inclusions at a bi-material elastic interface, J. Elast., Vol. 54, 27-41.
  • 6. Kaczyński A. (1993), On the three-dimensional interface crack problems in periodic two-layered composites, Int. J. Fracture, Vol. 62, 283-306.
  • 7. Kaczyński A. (1999), Rigid sheet-like interface inclusion in an infinite bimaterial periodically layered composites, J. Theor. Appl. Mech., Vol. 37, No 1, 81-94.
  • 8. Kaczyński A., Matysiak S.J. (1997), Some 2D interface crack and rigid inclusion problems in microperiodicallylayered elastic composites, J. Theor. Appl. Mech., Vol. 35, No 4, 751-762.
  • 9. Kaczyński A., Matysiak S.J. (1997), Three-dimensional thermoelastic problems of interface cracks and rigid inclusions in bimaterial layered composites, Thermal Stresses ’99. Third International Congress on Thermal Stresses, Cracow University of Technology, Cracow, Poland, 287-290.
  • 10. Kassir M.K, Sih G.C. (1968), Some three-dimensional inclusion problems in elasticity, Int. J. Solids Structures, Vol. 4, 225-241.
  • 11. Kassir M.K, Sih G.C. (1975), Three-dimensional crack problems, Mechanics of Fracture 2, Noordhoof Int. Publ., Leyden.
  • 12. Li X.F., Fan T.Y. (2001), The asymptotic stress field for a rigid circular inclusion at the interface of two bonded dissimilar elastic half-space materials, Int. J. Solids Structures, Vol. 38, 8019-8035.
  • 13. Matysiak S.J., Woźniak Cz. (1988), On the microlocal modelling of thermoelastic periodic composites, J. Tech. Phys., Vol. 29, 85-97.
  • 14. Mura T. (1982), Micromechanics of defects in solids, Martinus Nijhoff, The Hague.
  • 15. Panasyuk V.V., Stadnik M.M., Silovanyuk V.P. (1986), Stress concentrations in three-dimensional bodies with thin inclusions, (in Russian), Nuakova Dumka, Kiev.
  • 16. Podil’chuk Y.N. (1997), Stress state of a transverselyisotropic body with elliptical inclusion, Int. Appl. Mech., Vol. 33, 881-887.
  • 17. Rahman M. (1999), Some problems of a rigid elliptical discinclusion bonded inside a transversely isotropic space, ASME J. Appl. Mech., Vol. 66, 612-630.
  • 18. Rahman M. (2002), A rigid elliptical disc-inclusion, in an elastic solid, subjected to polynomial normal shift, J. Elasticity, Vol. 66, 207-235.
  • 19. Rossmanith H-P. (Ed.) (1997), Damage and failure of interfaces, A.A. Balkema, Rotterdam.
  • 20. Selvadurai A.P.S. (1982), On the interaction between an elastically embedded rigid inhomogeneity and a laterally placed concentrated force, ZAMP, Vol. 33, 241-249.
  • 21. Selvadurai A.P.S. (2000), An inclusion at a bi-material elastic interface, J. Eng. Math., Vol. 37, 155-170.
  • 22. Silovanyuk V.P. (1984), A rigid lamellate inclusion in elastic space, (in Russian), Fiz.-Chem. Mech. Mat., Vol. 20, No 5, 80-84.
  • 23. Sneddon I. N. (1966), Mixed boundary value problems in potential theory, North-Holland Publ. Comp., Amsterdam.
  • 24. Sneddon I. N. (1972), The use of integral transforms, McGraw-Hill, New York .
  • 25. Ting T.C.T. (1966), Anisotropic elasticity: theory and applications, Oxford University Press, New York.
  • 26. Vorovich I.I., Alexandrov V.V., Babeshko V.A. (1974), Non-classical mixed boundary problems of the theory of elasticity, (in Russian), Nauka, Moscow.
  • 27. Woźniak Cz. (1987), A nonstandard method of modelling of thermoelastic periodic composites, Int. J. Engng. Sci., Vol. 25, 483-499.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0048-0008
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