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Singular solutions and Green's method in micropolar theory of elasticity

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Abstract

The matrices of fundamental solutions are constructed for a concentrated force as well as a concentrated couple varying harmonically in time and acting in an unbounded micropolar elastic continuum. These solutions are then used to obtain solutions for some other loading singularities. Integral representations, for the displacement and the rotation vectors are obtained by making use of the basic singular solutions. The formal solutions to two fundamental boundary value problems are expressed in terms of integrals which include given surface and body data and Green's functions.

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Authors and Affiliations

  1. The University of Calgary, Calgary, Alberta, Canada

    S. M. Khan, R. S. Dhaliwal & K. L. Chowdhury

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  1. S. M. Khan
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  2. R. S. Dhaliwal
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  3. K. L. Chowdhury
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Khan, S.M., Dhaliwal, R.S. & Chowdhury, K.L. Singular solutions and Green's method in micropolar theory of elasticity. Appl. Sci. Res. 25, 65–82 (1972). https://doi.org/10.1007/BF00382285

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  • DOI: https://doi.org/10.1007/BF00382285

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