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Abaqus deformation gradient polar decomposition

The issue of the computation of the deformation gradient in Abaqus

Submitted by Malik Ait-Bachir on
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Abaqus deformation gradient polar decomposition

Hi everybody,

I am trying to model an anisotropic hyperelastic material in plane stress under uniaxial tension

where W=Wiso +Wani= C10*(I1-3)+C4*(I4-1)2 .

 When the load is parallel or perpendicular to the fiber direction, the deformation gradient returned by Abaqus matches the theoretical expression obtained after derivation of W. 

However, when the fiber direction is neither parallel nor perpendicular to the load, the deformation gradient returned by Abaqus differs

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