Formulation for an Ogden-type hyperelastic analysis with hyper dual numbers and its performance evaluation-Reference-Cited by-同舟云学术

Formulation for an Ogden-type hyperelastic analysis with hyper dual numbers and its performance evaluation

Published:2020 Issue:881 Volume:86 Page:19-00256-19-00256
ISSN:2187-9761
Container-title:Transactions of the JSME (in Japanese)
language:en
Short-container-title:

Author:

FUJIKAWA Masaki¹,TANAKA Masato²,IMOTO Yusuke³,MITSUME Naoto⁴,URAMOTO Takeo⁵,YAMANAKA Naoya⁶

Affiliation:

1. Faculty of Engineering Department of Mechanical Systems Engineering, University of the Ryukyus

2. Toyota Central R&D Labs., INC.

3. Institute for Advanced Study, Kyoto University

4. Faculty of Engineering, Information and Systems, University of Tsukuba

5. Graduate School of Human and Environmental Studies, Kyoto University

6. School of Information Science, Meisei University

Publisher

Japan Society of Mechanical Engineers

Link

https://www.jstage.jst.go.jp/article/transjsme/86/881/86_19-00256/_pdf

Reference20 articles.

1. Basar, Y. and Itskov, M., Finite element formulation of the Ogden material model with application to rubber-like shells, International Journal for Numerical Methods in Engineering, Vol.42 (1998), pp.1279–1305.

2. Clifford, M.A., Preliminary sketch of biquaternions, Proceedings of the London Mathematical Society, Vol.1-4, No.1 (1871), pp.381–395.

3. de Souza Neto, E.A., Perić , D. and Owen, D.R.J., Terada, K. (Translation supervisor), Computational Methods for Plasticity: Theory and Applications, Morikita Publishing Co., Ltd. (2012) (in Japanese).

4. Feng, Z.-Q., Peyraut, F. and He, Q.-C., Finite deformations of Ogden’s materials under impact loading, International Journal of Non-Linear Mechanics, Vol.41 (2006), pp.575–585.

5. Fike, J.A., Multi-objective optimization using hyper-dual numbers, Stanford University, Ph.D. Thesis (2013).

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