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| Finite element formulation for finite deformation problem based on complementary energy principle |
| Received:July 17, 2007 |
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| DOI：10.7511/jslx20094002 |
| KeyWord:finite deformation base forces complementary energy principle finite element large displacement large rotation |
| Author | Institution |
| 彭一江 |
清华大学 工程力学系 FML,北京 ;北京工业大学 工程抗震与结构诊治北京市重点实验室,北京 |
| 刘应华 |
清华大学 工程力学系 FML,北京 |
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| Abstract: |
| Using the concept of base forces, an explicit finite element formulation for the finite deformation is presented based on complementary energy principle, which can be used for large displacements and large rotations problem of structures. The complementary energy of an element is described by taking the base forces as state variables, and the complementary energy in large deformation case contains deformation part and rotation part. The control equations of finite element method of complementary energy principle are derived using Lagrange multiplier method. A nonlinear finite element procedure is developed. Several examples are analyzed to illustrate the reliability and accuracy of the formulation and the procedure. |
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