SHAN Yan-yan, REN Cong, HUANG Si-bai, BAI Ya-qiong. The 2D Base Force Element Method Based on the Potential Energy Principle[J]. Applied Mathematics and Mechanics, 2016, 37(6): 626-632. doi: 10.3879/j.issn.1000-0887.2016.06.008
 Citation: SHAN Yan-yan, REN Cong, HUANG Si-bai, BAI Ya-qiong. The 2D Base Force Element Method Based on the Potential Energy Principle[J]. Applied Mathematics and Mechanics, 2016, 37(6): 626-632.

The 2D Base Force Element Method Based on the Potential Energy Principle

doi: 10.3879/j.issn.1000-0887.2016.06.008
Funds:  The National Natural Science Foundation of China（10972025）
• Rev Recd Date: 2016-01-25
• Publish Date: 2016-06-15
• Based on the base force concept proposed by Gao Y C, the quadrangular element model of the base force element method (BFEM) for 2D linear elastic problems was proposed. Several typical examples of numerical calculation were given in view of the effect of the element’s length-to-width ratio. The BFEM results were compared with the analytic solution and the conventional triangular finite element solution as well as the isoperimetric quadrangular element (Q4 model) solution; in turn the correctness and the computing performance of the BFEM based on the potential energy principle were verified. It is shown that the BFEM gives results in good agreement with the analytic solution and has higher accuracy than the conventional finite element methods, but is not sensitive to the element’s length-to-width ratio. So the BFEM is expected to have wide application prospects.
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