Modelling a Hyper-Elastic Plate Using Abaqus

Modelling A Hyper-elastic Plate Using Abaqus

Analysed using Abaqus/CAE Version 6.8-1 (Dassault Systemes Simulia Corp, Providence, RI, USA. 2008). (converted from the model developed in Abaqus/CAE Version 6-6-1)

Element Type: CPE8RH

8-node biquadratic plane strain quadrilateral, hybrid, linear pressure, reduced integration

Figure 1: Mesh, BC and Load.

Load:

Figure 2: Load applied
RESULTS:

I managed to apply load, q, up to 90. However, the result obviously show the difference of plate deformation compared to Basar & Itskov (1998).

Figure 4: Work done by Y. Basar and M. Itskov

Fully incompressible; D=0

Source:

Basar, Y. and Itskov, M. 1998. Finite Element Formulation of the Ogden Material Model with Application to Rubber-Like Shells. International Journal For Numerical Methods in Engineering, Vol. 42, page 1279-1305.

References:

·  Y. Basar and Y. Ding. 1997. Shear deformation models for large-strain shell analysis. Int. J. Solids and Struct., 34, No. 14, pp1687-1708, 1997.

·  F. Gruttmann and R.L. Taylor. 1992. Theory and Finite element formulation of rubber like membrane shells using principal stretches. Int. J. Numer. Meth. Engng., 35, pp 1111-1126.

·  Parisch, H. 1986. Efficient non-linear finite element shell formulation involving large strains. Engineering Computing. Vol 3, pp 125-128.

·  Ramm, E. 1976. Geometrisch nichtlineare Elastostatik und Finile Elemente. Habilitatronsschrift Bericht Nr. 76-2, Institut fur Baustatik der Universitat Stuttgart.