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J-GLOBAL ID:202002278727798649   Reference number:20A0467520

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

Hyper-dual numbersを用いたOgden型超弾性モデルの定式化とその性能評価
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Volume: 86  Issue: 881  Page: ROMBUNNO.19-00256(J-STAGE)  Publication year: 2020 
JST Material Number: U0182B  ISSN: 2187-9761  Document type: Article
Article type: 原著論文  Country of issue: Japan (JPN)  Language: JAPANESE (JA)
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Mechanics of elasticity in general  ,  Numerical analysis,approximation method 
Reference (20):
  • 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.
  • Clifford, M.A., Preliminary sketch of biquaternions, Proceedings of the London Mathematical Society, Vol.1-4, No.1 (1871), pp.381-395.
  • 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).
  • 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.
  • Fike, J.A., Multi-objective optimization using hyper-dual numbers, Stanford University, Ph.D. Thesis (2013).
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