AN APPROXIMATED FORMULATION OF OGDEN MODEL FOR RUBBER-LIKE SOLIDS

• YOSHIDA Junji

  山梨大学 工学部土木環境工学科

• SUGIYAMA Toshiyuki

  山梨大学 工学部土木環境工学科

Bibliographic Information

Other Title

• ゴム材料のためのＯｇｄｅｎモデルの近似計算法

Abstract

This paper presents a new approximated formulation of Ogden model for isochoric deformation of rubber-like solids. In the formulation, the principle stretches in the strain energy function of Ogden model are approximated by Taylor series, and they are expressed by the invariants of material logarithmic strain. Then, the stress-strain relation and the elastic tangent moduli of the approximated model are developed together with their numerical implementations. Finally, accuracy of the model is evaluated in comparison with the exact Ogden model, and the necessary condition for proper approximation is shown on the basis of these results.

Journal

• Doboku Gakkai Ronbunshuu A

  Doboku Gakkai Ronbunshuu A 64 (2), 217-222, 2008

  Japan Society of Civil Engineers

Keywords

• rubber
• hyper-elasticity
• finite strain
• Ogden model
• material logarithmic strain
• approximation
• Taylor expansion
• invariants
• isochoric deformation

Details

• CRID: 1390282680231470208
• NII Article ID: 130004467098
• DOI: 10.2208/jsceja.64.217
• ISSN: 18806023
• Text Lang: ja
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed