Yun Tianquan. Uniqueness of Solution of Field Point of Singular Source Outside-Region-Distribution Method[J]. Applied Mathematics and Mechanics, 1999, 20(1): 33-38.
Citation: Yun Tianquan. Uniqueness of Solution of Field Point of Singular Source Outside-Region-Distribution Method[J]. Applied Mathematics and Mechanics, 1999, 20(1): 33-38.

Uniqueness of Solution of Field Point of Singular Source Outside-Region-Distribution Method

  • Received Date: 1997-07-09
  • Rev Recd Date: 1998-09-20
  • Publish Date: 1999-01-15
  • 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 satisfied, 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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