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Implementation: MarmotMaterialHypoElastic
Derived abstract base class for elastic materials expressed purely in rate form.
In general, the nominal stress rate tensor \( \sigRate \) can be written as a function of the nominal stress tensor \( \sig \), the stretching rate tensor \( \epsRate \) and the time \( t \).
\[ \displaystyle \sigRate = f( \sig, \epsRate, t, ...) \]
In course of numerical time integration, this relation will be formulated incrementally as
\[ \displaystyle \Delta \sig = f ( \sig_n, \Delta\eps, \Delta t, t_n, ...) \]
with
\[ \displaystyle \Delta\eps = \epsRate\, \Delta t \]
and the algorithmic tangent
\[ \displaystyle \frac{d \sig }{d \eps } = \frac{d \Delta \sig }{d \Delta \eps } \]
This formulation is compatible with an Abaqus interface.
The documentation of the available hypoelastic material models in Marmot can be found here