Abstract
This paper is concerned with the problem of a circular inclusion undergoing spontaneous dimensional changes in an infinite elastic strip with the straight edges free from displacements. Consequent elastic fields both in the inclusion and the surrounding strip are determined with the aid of complex variable technique. Closed form expressions for two sets of complex potentials and for various stress components are provided. Boundary stresses have been computed and their behaviour examined for varying situations.
Zusammenfassung
Die Arbeit betrifft das Problem eines kreisrunden Fremdkörpers, der sich innerhalb eines unendlichen elastischen Streifens mit verschiebungslosen Rändern deformiert. Die elastischen Felder im Fremdkörper und im Streifen werden mit der komplexen Methode bestimmt, und es werden für zwei Sätze komplexer Potentiale und für verschiedene Spannungskomponenten geschlossene Lösungen angegeben. Die Randspannungen werden berechnet und für verschiedene Fälle untersucht.
Similar content being viewed by others
References
J. D. Eshelby,The Determination of the Elastic Field of an Ellipsoidal Inclusion and Related Problems. Proc. Roy. Soc. A241, 376 (1957).
M. A. Jaswon andR. D. Bhargava,Two-dimensional Elastic Inclusion Problems. Proc. Camb. Phil. Soc.57, 669 (1961).
R. D. List andJ. P. O. Silberstein,Two-dimensional Elastic Inclusion Problems. Proc. Camb. Phil. Soc.62, 303 (1966).
R. D. Bhargava andO. P. Kapoor,Circular Inclusion in an Elastic Half-plane. Proc. Nat. Inst. Sci. India A32, 418 (1966).
P. S. Theocaris andN. I. Ioakimidis,The Inclusion Problems in Plane Elasticity. Quart. J. Mech. Appl. Math. XXX, 437 (1977).
N. I. Muskhelishvili,Some Basic Problems of the Mathematical Theory of Elasticity. P. Noordhoff Ltd., Groningen (1953).
R. Tiffen,Generalized Plane Stress Problems in Infinite Elastic Strips. Quart. J. Mech. Appl. Math. VI, 344 (1953).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sharma, C.B. Circular inclusion in an infinite elastic strip. Journal of Applied Mathematics and Physics (ZAMP) 30, 983–990 (1979). https://doi.org/10.1007/BF01590495
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01590495