A quadratic ten node tetrahedral Cosserat point element for nonlinear elasticity

M. Jabareen, E. Hanukah, M. B. Rubin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

It is known that the standard full integration ten node tetrahedral element is inaccurate for thin nearly incompressible structures. The objective of this work is to develop a ten node tetrahedral Cosserat Point Element (CPE) for nonlinear isotropic hyperelastic materials. Hyperelastic constitutive equations for the CPE are developed by treating the element as a structure with a strain energy function that is restricted to satisfy a nonlinear form of the patch test. A number of examples are considered which demonstrate that the resulting CPE is accurate and robust.

Original languageEnglish
Title of host publicationProceedings of the 11th International Conference on Computational Structures Technology, CST 2012
Pages2754
Volume99
StatePublished - 2012
Event11th International Conference on Computational Structures Technology, CST 2012 - Dubrovnik, Croatia
Duration: 4 Sep 20127 Sep 2012

Conference

Conference11th International Conference on Computational Structures Technology, CST 2012
Country/TerritoryCroatia
CityDubrovnik
Period4/09/127/09/12

Keywords

  • Cosserat point element
  • Hyperelasicity
  • Quadratic
  • Tetrahedral element

All Science Journal Classification (ASJC) codes

  • Environmental Engineering
  • Civil and Structural Engineering
  • Computational Theory and Mathematics
  • Artificial Intelligence

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