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In one of my project, I need deformation gradient or displacement gradient for some elements in my model that made by ABAQUS software and I can't find it directly, any suggestion or help would be appreciated.

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    $\begingroup$ Are you writing a user element or user material subroutine? $\endgroup$ – Matt P Oct 31 '17 at 16:23
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From a theoretical standpoint, the displacement gradient is equivalent to strain (assuming a structural problem).

Numerically, you can obtain the derivate of a quantity through multiplication with the derivative of the shape functions, which is often referred to as the B matrix:

du = B u
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