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Base force element method (BFEM) on potential energy principle for elasticity problems

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Abstract

Using the concept of base forces, the problem of the explicit tensor expression of the element stiffness matrix for a new finite element method (FEM)—the base force element method (BFEM) was studied. The mathematic model of the BFEM on potential energy principle was established by using an explicit expression. A code for the BFEM was developed using MATLAB computer language. The approach was used to solve several problems of elasticity theory, and various shape elements were compared and analyzed. The numerical results are consistent with those of the theoretical solutions, and the applicability of this approach is verified.

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Acknowledgments

This work is supported by the National Science Foundation of China, No. 10972015.

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Authors and Affiliations

  1. Key Lab of Urban Security & Disaster Engineering, Beijing University of Technology, Beijing, 100124, China

    Yijiang Peng, Zhanlong Dong & Bo Peng

  2. Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China

    Yinghua Liu

Authors
  1. Yijiang Peng
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  2. Zhanlong Dong
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  3. Bo Peng
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  4. Yinghua Liu
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Correspondence to Yijiang Peng.

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Peng, Y., Dong, Z., Peng, B. et al. Base force element method (BFEM) on potential energy principle for elasticity problems. Int J Mech Mater Des 7, 245–251 (2011). https://doi.org/10.1007/s10999-011-9162-6

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  • DOI: https://doi.org/10.1007/s10999-011-9162-6

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