A highly accurate 1st- and 2nd-order differentiation scheme for hyperelastic material models based on hyper-dual numbers

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Masato Tanaka - , Toyota Central R&D Laboratories, Inc (Author)
  • Takashi Sasagawa - , Toyota Central R&D Laboratories, Inc (Author)
  • Ryuji Omote - , Toyota Central R&D Laboratories, Inc (Author)
  • Masaki Fujikawa - , University of the Ryukyus (Author)
  • Daniel Balzani - , University of Duisburg-Essen (Author)
  • Jörg Schröder - , University of Duisburg-Essen (Author)

Details

Original languageEnglish
Pages (from-to)22-45
Number of pages24
JournalComputer Methods in Applied Mechanics and Engineering
Volume283
Publication statusPublished - 2015
Peer-reviewedYes
Externally publishedYes

External IDs

Scopus 84908013275

Keywords

Keywords

  • Nonlinear finite element method, Finite deformations, Strain energy function, Hyper-dual numbers, Numerical derivative