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Acta Mechanica

, Volume 168, Issue 1–2, pp 75–101 | Cite as

Incompressibility at large strains and finite-element implementation

  • Y. Başar
  • R. Grytz
Article

Summary.

This contribution is concerned with the consideration of material incompressibility at large strains and proposes various methods for the enforcement of the corresponding constraint into finite-rotation shell models. The incompressibility condition can be expressed in terms of displacement as well as strain variables and is considered by means of three different procedures in the numerical implementation. As kinematic hypothesis a quadratic assumption with respect to the thickness coordinate is used in which the corresponding directors are decomposed into two stretch parameters and a common inextensible unit vector. Various constitutive laws holding for incompressible isotropic hyperelasticity are considered and directly coupled with shell equations through a numerical thickness integration. A 4-node isoparametric shell element is developed parameterizing the inextensible shell director in terms of rotation variables in the framework of an up-dated rotation formulation. Finally, several examples are analysed to identify the most effective procedure for modelling isochoric deformations in thin-walled structures.

Keywords

Large Strain Incompressibility Material Incompressibility Incompressibility Condition Rotation Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 2004

Authors and Affiliations

  • Y. Başar
    • 1
  • R. Grytz
    • 1
  1. 1.Institute for Structural MechanicsRuhr-UniversityBochumGermany

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