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Boundary integral equations of unique solutions in elasticity

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Abstract

The properties of the fundamental solution are derived in linear elastostatics. These properties are used to show that the conventional displacement and traction boundary integral equations yield non-unique displacement solutions in a traction boundary value, problem. The condition for the existence of unique displacement solutions is proposed for the traction boundary value problem. The degrees of freedom of the displacement solution are removed by the condition to obtain the boundary integral equations of unique solutions for the traction boundary value problems. Numerical example is presented to demonstrate the accuracy and efficiency of the present equations.

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Authors and Affiliations

  1. Department of Chemical Engineering, Shandong University of Technology, 250061, Jinan, P R China

    Zhou Shenjie

  2. Department of Engineering Mechanics, Tongji University, 200092, Shanghai, P R China

    Cao Zhiyuan

  3. Institute of Engineering Mechanics, Shandong University of Technology, 250061, Jinan., P R China

    Sun Shuxun

Authors
  1. Zhou Shenjie
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  2. Cao Zhiyuan
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  3. Sun Shuxun
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Additional information

Communicated by Tang Renji

Foundation item: the Shandong Natural Science Foundation of China

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Shenjie, Z., Zhiyuan, C. & Shuxun, S. Boundary integral equations of unique solutions in elasticity. Appl Math Mech 20, 1128–1133 (1999). https://doi.org/10.1007/BF02460330

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  • DOI: https://doi.org/10.1007/BF02460330

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