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Theory Manual Version 3.6
 Section 5.14: Prescribed Active Contraction Up Section 5.14: Prescribed Active Contraction Subsection 5.14.2: Transversely Isotropic Active Contraction 

5.14.1 Uniaxial Active Contraction

For this model, the active stress is acting along a prescribed direction given by the unit vector in the reference configuration. The Piola-Kirchhoff stress is and the Cauchy stress is where is the prescribed contractile stress and . Since is not a function of deformation, the material and spatial tangents are both zero.
 Section 5.14: Prescribed Active Contraction Up Section 5.14: Prescribed Active Contraction Subsection 5.14.2: Transversely Isotropic Active Contraction