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The variational principle and application of numerical manifold method

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Abstract

The physical-cover-oriented variational principle of numerical manifold method (NMM) for the analysis of linear elastic static problems was put forward according to the displacement model and the characters of numerical manifold method. The theoretical calculating formulations and the controlling equation of NMM were derived. As an example, the plate with a hole in the center is calculated and the results show that the solution precision and efficiency of NMM are agreeable.

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Authors and Affiliations

  1. Mechtronic Department, Shantou University, 515063, Shantou, P R China

    Luo Shao-ming, Zhang Xiang-wei & Cai Yong-chang

Authors
  1. Luo Shao-ming
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  2. Zhang Xiang-wei
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  3. Cai Yong-chang
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Additional information

Paper from ZHANG Xiang-wei, Member of Editorial Committee, AMM

Foundation item: the Natural Science Foundation of Guangdong Province (994396);

Biographies: LUO Shao-ming (1966-), Associate Professor, Doctor; ZHANG Xiang-wei (1950-), Professor, Doctor, Supervisor of Ph D Candidate, President of Shantou University

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Shao-ming, L., Xiang-wei, Z. & Yong-chang, C. The variational principle and application of numerical manifold method. Appl Math Mech 22, 658–663 (2001). https://doi.org/10.1007/BF02435665

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  • DOI: https://doi.org/10.1007/BF02435665

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