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Uniquenes of solution of field point of singular source outside-region-distribution method

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Abstract

The uniqueness of solution of field point, inside a convex region due to singular source(s) with kernel function decreasing with distance increasing, outside-region-distribution(s) such that the boundary condition expressed by the response of the source(s) is satisfield, is proved by using the condition of kernel function decreasing with distance increasing and an integral inequality. Examples of part of these singular sources such as Kelvin's point force, Point-Ring-Couple (PRC) etc. are given. The proof of uniqueness of solution of field point in a twisted shaft of revolution due to PRC distribution is given as an example of application.

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  1. Department of Mechanics, South China University of Technology, 510641, Guangzhou, P. R. China

    Yun Tianquan

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Tianquan, Y. Uniquenes of solution of field point of singular source outside-region-distribution method. Appl Math Mech 20, 36–42 (1999). https://doi.org/10.1007/BF02459271

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  • DOI: https://doi.org/10.1007/BF02459271

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