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Base force element method (BFEM) on complementary energy principle for linear elasticity problem

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Abstract

Using the concept of base forces as state variables, a new finite element method — the base force element method (BFEM) on complementary energy principle for linear elasticity problems is presented. Firstly, an explicit expression of compliance matrix for an element is derived through base forces by dyadic vectors. Then, the explicit control equations of finite element method of complementary energy principle are derived using Lagrange multiplier method. Thereafter, the base forces element procedure for linear elasticity is developed. Finally, several examples are analyzed to illustrate the reliability and accuracy of the formulation and the procedure.

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Authors and Affiliations

  1. Applied Mechanics Laboratory, Department of Engineering Mechanics, Tsinghua University, Beijing, 100084, China

    YingHua Liu

  2. Key Lab of Urban Security & Disaster Engineering, Department of Civil Engineering, Beijing University of Technology, Beijing, 100124, China

    YiJiang Peng

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  1. YingHua Liu
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  2. YiJiang Peng
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Correspondence to YingHua Liu.

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Liu, Y., Peng, Y. Base force element method (BFEM) on complementary energy principle for linear elasticity problem. Sci. China Phys. Mech. Astron. 54, 2025 (2011). https://doi.org/10.1007/s11433-011-4515-6

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  • DOI: https://doi.org/10.1007/s11433-011-4515-6

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