著者
藤川 正毅 石川 清貴 真壁 朝敏 田中 真人 笹川 崇 表 竜二
出版者
一般社団法人 日本機械学会
雑誌
日本機械学会論文集 (ISSN:21879761)
巻号頁・発行日
vol.82, no.834, pp.15-00454-15-00454, 2016
被引用文献数
5

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.

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Hyper-dual numbersを用いた高精度一階・二階数値微分法に基づく幾何学非線形有限要素法の定式化 : https://t.co/Y2ewBzUNFS

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