| Autor: |
Masaki FUJIKAWA, Kiyotaka ISHIKAWA, Chobin MAKABE, Masato TANAKA, Takashi SASAGAWA, Ryuji OMOTE |
| Jazyk: |
japonština |
| Rok vydání: |
2016 |
| Předmět: |
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| Zdroj: |
Nihon Kikai Gakkai ronbunshu, Vol 82, Iss 834, Pp 15-00454-15-00454 (2016) |
| Druh dokumentu: |
article |
| ISSN: |
2187-9761 |
| DOI: |
10.1299/transjsme.15-00454 |
| Popis: |
This paper proposes a novel implementation scheme of geometrically nonlinear finite element programs, which automatically compute exact internal force vectors and element stiffness matrices by numerically differentiating a strain energy function at each element. This method can significantly simplify the complex implementation procedure which is often observed in conventional finite element implementations, since it never requires B matrices, stress tensors, and elastic tensors by hand. The proposed method is based on a highly accurate numerical derivatives which use hyper-dual numbers and never suffer from any round-off and truncation errors. Several numerical examples are performed to demonstrate the effectiveness and robustness of the proposed method. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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