Mixed 3D Solid Finite element

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,

"Mixed3D1_1.gif"

    global unknowns are displacements of the nodes,
    "Mixed3D1_2.gif"
    enhanced strain formulation to improve shear and volumetric locking response,

    "Mixed3D1_3.gif"
    
    "Mixed3D1_4.gif"
    
    where "Mixed3D1_5.gif" are internal degrees of freedom eliminated at the element level.
    the classical hyperelastic Neo-Hooke's potential energy,

    "Mixed3D1_6.gif",
    
    where "Mixed3D1_7.gif" is right Cauchy-Green tensor, F=I+D  is enhanced deformation gradient.


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