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Elastic field of a deforming circular inclusion in an infinite strip

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Abstract

Present investigation analyzes the problem of an infinite elastic strip having a symmetrically situated circular inclusion which tends to undergo a spontaneous physical change. In the case when the straight edges of the strip are assumed traction free, the consequent elastic fields both in the inclusion and the strip are determined with the aid of complex variable technique. Expressions for complex potentials and stress components are derived in the form of infinite integrals. Numerical values of stress are computed in some cases of interest.

Zusammenfassung

In dieser Arbeit wird das Problem eines unendlichen elastischen Streifens untersucht, mit einer symmetrisch angeordneten kreisförmigen Einlage, an der plötzlich eine physikalische Änderung aufgeprägt wird. Für den Fall, daß die geraden Begrenzungen des Streifens spannungsfrei sind, werden die elastischen Felder sowohl in der Einlage als auch im Streifen berechnet. Ausdrücke für das komplexe Potential und für die Spannungskomponenten werden in Form von unendlichen Integralen angegeben. Numerische Werte von Spannungen werden für einige Fälle berechnet.

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References

  1. M. A. Jaswon and R. D. Bhargava,Two-dimensional elastic inclusion problems, Proc. Camb. Phil. Soc.57, 669–680 (1961).

    Google Scholar 

  2. J. D. Eshelby,The determination of the elastic field of an ellipsoidal inclusion and related problems, Proc. Roy. Soc. A241, 376–396 (1957).

    Google Scholar 

  3. R. D. Bhargava and O. P. Kapoor,Circular inclusion in an elastic half-plane, Proc. Nat. Inst. Sci. India, A32, 418–428 (1966).

    Google Scholar 

  4. R. D. List and J. P. O. Silberstein,Two-dimensional elastic inclusion problems, Proc. Camb. Phil. Soc.62, 303–311 (1966).

    Google Scholar 

  5. P. S. Theocaris and N. I. Ioakimidis,The inclusion problem in plane elasticity, Q. Jl. Mech. Appl. Math. XXX, 437–448 (1977).

    Google Scholar 

  6. N. I. Muskhelishvili,Some basic problems of the mathematical theory of elasticity, P. Noordhoff Ltd., Groningen, Holland (1953).

    Google Scholar 

  7. R. Tiffen,Generalized plane stress problems in infinite elastic strips, Q. Jl. Mech. Appl. Math. VI, 344–369 (1953).

    Google Scholar 

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Authors and Affiliations

  1. University of Manchester Institute of Science and Technology, Manchester, England

    C. B. Sharma

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  1. C. B. Sharma
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Sharma, C.B. Elastic field of a deforming circular inclusion in an infinite strip. Z. angew. Math. Phys. 32, 582–593 (1981). https://doi.org/10.1007/BF00947023

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  • DOI: https://doi.org/10.1007/BF00947023

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