Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
We study the plane elasticity problem associated with a rigid hypotrochoidal inhomogeneity embedded in an infinite isotropic elastic matrix subjected to an edge dislocation located at an arbitrary position. A closed-form solution to the problem is derived primarily with the aid of conformal mapping and analytic continuation. All of the unknown complex constants appearing in the pair of analytic functions characterizing the elastic field in the matrix are determined in an analytical manner. In addition, a simple method distinct from that by Santare and Keer (1986) is proposed to determine the rigid body rotation of the rigid inhomogeneity.
Czasopismo
Rocznik
Tom
Strony
143--153
Opis fizyczny
Bibliogr. 19 poz., wykr.
Twórcy
autor
- School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China
autor
- Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta Canada T6G 1H9
Bibliografia
- 1. J. Dundurs, T. Mura, Interaction between an edge dislocation and a circular inclusion, Journal of the Mechanics and Physics of Solids, 12, 177–189, 1964.
- 2. J. Dundurs, G.P. Sendeckyj, Edge dislocation inside a circular inclusion, Journal of the Mechanics and Physics of Solids, 13, 141–147, 1965.
- 3. L. Stagni, On the elastic field perturbation by inhomogeneities in plane elasticity, Journal of Applied Mathematics and Physics, 33, 315–325, 1982.
- 4. L. Stagni, R. Lizzio, Shape effects in the interaction between an edge dislocation and an elliptical inhomogeneity, Applied Physics A, 30, 217–221, 1983.
- 5. W.E. Warren, The edge dislocation inside an elliptical inclusion, Mechanics of Materials, 2, 319–330, 1983.
- 6. M.H. Santare, L.M. Keer, Interaction between an edge dislocation and a rigid elliptical inclusion, ASME Journal of Applied Mechanics, 53, 382–385, 1986.
- 7. N.I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, P. Noordhoff Ltd., Groningen, 1953.
- 8. J.Y. Shi, Z.H. Li, The interaction of an edge dislocation with an inclusion of arbitrary shape analyzed by the Eshelby inclusion method, Acta Mechanica, 161, 31–37, 2003.
- 9. Z. Li, Y. Li, J. Sun, X.Q. Feng, An approximate continuum theory for interaction between dislocation and inhomogeneity of any shape and properties, Journal of Applied Physics, 109, 11, 113529, 2011.
- 10. C. Zhang, S. Li, Z.H. Li, The interaction of an edge dislocation with an inhomogeneity of arbitrary shape in an applied stress field, Mechanics Research Communications, 48, 19–23, 2013.
- 11. P. Li, X. Zhang, D. Lyu, X. Jin, L.M. Keer, A computational scheme for the interaction between an edge dislocation and an arbitrarily shaped inhomogeneity via the numerical equivalent inclusion method, Physical Mesomechanics, 22, 164–171, 2019.
- 12. A.H. England, Complex Variable Method in Elasticity, John Wiley and Sons, New York, 1971.
- 13. Z. Suo, Singularities interacting with interfaces and cracks, International Journal of Solids and Structures, 25, 1133–1142, 1989.
- 14. C.Q. Ru, Analytic solution for Eshelby’s problem of an inclusion of arbitrary shape in a plane or half-plane, ASME Journal of Applied Mechanics, 66, 315–322, 1999.
- 15. E.M. Patton, M.H. Santare, The effect of a rigid elliptical inclusion on a straight crack, International Journal of Fracture, 46, 71–79, 1990.
- 16. Z.M. Xiao, K.D. Pae, The interaction between a penny-shaped crack and a spherical inhomogeneity in an infinite solid under uniaxial tension, Acta Mechanica, 90, 91–104, 1991.
- 17. Z.M. Xiao, J. Bai, On piezoelectric inhomogeneity related problems-part II: a circular piezoelectric inhomogeneity interacting with a nearby crack, International Journal of Engineering Science, 37, 961–976, 1999.
- 18. T.C.T. Ting, Anisotropic Elasticity: Theory and Applications, Oxford University Press, New York, 1996.
- 19. J. Dundurs, Elastic interaction of dislocations with inhomogeneities, in: Mathematical Theory of Dislocations, T. Mura [ed.], pp. 70–115, American Society of Mechanical Engineers, New York, 1969.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-28d1f8b8-3d6f-4f75-bcd2-6dda98e32c95