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| Research of robust hybrid strain-EAS solid shell element for hyperelastic analysis of shells |
| Revised:September 04, 2002 |
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| DOI：10.7511/jslx20043056 |
| KeyWord:hyperelastic,hybrid solid shell,thickness locking,variational principle,stabilization |
| Zheng Shijie1,S.Y. Sze2e,Nanjing University of Aeronautics & Astronautics,Nanjing 210016,China, 2.Department of Mechanical Engineering,University of Hongkong) |
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| Abstract: |
| The present paper proposes a weaker variational procedure for the large strain analysis of rubber components confining to compressible and incompressible hyperelastic materials of the Neo-Hookean type. The enhanced assumed strain (EAS) modes are incorporated into the hybrid-strain formulation and a robust and stable hybrid strain solid shell element is developed. A refined method is presented and the assumed strain modes are ingeniously selected, so that the orthogonality between the lower order assumed strain modes and higher order ones is realized. The salient feature of the orthogonality for higher computational efficiency is that the higher order assumed strain modes vanish at the sampling points of the second order quadrature and their energy products with the displacement- derived covariant strain can be programmed without resorting to numerical integration. The second major aspect of this contribution is that the whole formulation uses only the second order quadrature, the computational efficiency can be greatly improved and the incompressible locking of hyperelastic materials can be overcome. Furthermore, the present formulation overcomes the thickness locking of the solid shell elements, and its efficacy is illustrated by popular benchmark problems. |
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