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| Finite element method based on the MbS model |
| Received:August 09, 2021 Revised:October 29, 2021 |
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| DOI：10.7511/jslx20210809001 |
| KeyWord:mbS model finite element method extended shape function elastic-plastic mechanics energy functional variational principle |
| Author | Institution |
| 钱若军 |
同济大学 土木工程学院, 上海 |
| 袁行飞 |
浙江大学 空间结构研究中心, 杭州 |
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| Abstract: |
| The finite element method based on the MbS model is a numerical analysis method that introduces of membrane, bending and shear theories into solid and structural analysis models, and the adoption of pure tension and compression, pure bending and pure shear elements.The exponential function and Bessel function are constructed as the insertion function on the material unit and time unit divided in the space-time system, and the basic displacement functions such as membrane, bending and shearing are obtained according to Lagrange interpolation conditions.Thus more complete and coupled deformation modes of structural solid units are obtained as well as the consistent format of the basic equations of static and dynamic finite elements according to the variational principle of energy functional.The analysis shows that mbS model and its finite element method can be used in static and dynamic analysis and buckling analysis of beams, columns, plates and shells. |
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