New results concerning the identification of neutral inhomogeneities in plane elasticity

• Autorzy: Vasudevan M. , Schiavone P.
• Języki publikacji: EN

Abstrakty

EN

Using the concept of a spring-layer (imperfect) interface, we develop the series methods to determine the corresponding interface functions which ensure the (stress) neutrality of an elastic inhomogeneity. We assume that the inhomogeneity occupies a simply-connected domain with a regular boundary and that the inhomogeneity-matrix system is subjected to linear plane deformations. Of particular interest is the fact that the prescribed stress field inside the matrix is assumed to be non-uniform.

Słowa kluczowe

EN

neutral inhomogeneity; spring-layer interface; plane elasticity; stress field

PL

neutralna niejednorodność; warstwa sprężysta; płaska sprężystość; pole naprężeń

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2006
• Tom: Vol. 58, nr 1
• Strony: 45--58
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Vasudevan M.

autor

Schiavone P.

• Theoretical Physics Institute University of Alberta, Edmonton Alberta T6G 2J1, Canada,

Bibliografia

• 1. E.H. Mansfield, Neutral holes in plane stress - reinforced holes which are elastically equivalent to the uncut sheet, Q. Jl. Mech. Appl. Math., VI, 370-378, 1953.
• 2. C.Q. Ru, Interface design of neutral elastic inhomogeneities, Int. J. Solids Struct., 35, 559-572, 1998.
• 3. C.Q. Ru and P. Schiavone, A circular inhomogeneity with circumferentially inhomoge-neous interface in antiplane shear, Proc. R. Soc. Lond., A453, 2551-2572, 1997.
• 4. G.W. Milton, The theory of composites, Cambridge University Press, Cambridge U.K. 2002.
• 5. Y. Benveniste, On the effect of bonding on the overall behaviour of composite materials, Mech. of Materials, 3, 349-358, 1984.
• 6. Y. Benveniste, G.J. Dvorak and T. Chen, Stress fields in composites with coated inclusions, Mech. of Materials, 7, 305-317, 1989.
• 7. D. Bigoni, S.K. Serkov, M. Valentini, and A.B. Movchan, Asymptotic models of dilute composites with imperfectly bonded inclusions, Int. J. Solids Struct., 35, 3239-3258, 1998.
• 8. D. van Vliet, P. Schiavone, and A. Mioduchowski, On the design of neutral elastic inhomogeneities in the case of non-uniform loading, Math. Mech. Solids, 8, 161-169, 2003.
• 9. P. Schiavone, Neutrality of the elliptic inhomogeneity in the case of non-uniform loading, Int. J. Engng. Sci., 41, 2081-2090, 2003.
• 10. M. Vasudevan and P. Schiavone, Design of neutral elastic inhomogeneities in plane elasticity in the case of non-uniform loading, Int. J. Engng. Sci., 43, 1081-1091, 2005.
• 11. I.N. Mushkiielishevili, Some basic problems of the mathematical theory of elasticity, P. NoordhoffLtd., Netherlands 1953.
• 12. A.H. England, Complex variable methods in elasticity, Wiley-Interscience, London 1971.