Generate the three-dimensional, eight node finite element for the analysis of hyperelastic solid problems. The element has the following characteristics:
⇒ hexahedral topology,
⇒ 8 nodes,
⇒ isoparametric mapping from the reference to the actual frame,
global unknowns are displacements of the nodes,
enhanced strain formulation to improve shear and volumetric locking response,
where are internal degrees of freedom eliminated at the element level.
the classical hyperelastic Neo-Hooke's potential energy,
,
where is right Cauchy-Green tensor, F=I+D is enhanced deformation gradient.
Created by Wolfram Mathematica 6.0 (06 November 2007) |