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Theory Manual Version 3.6
 Subsection 5.14.1: Uniaxial Active Contraction Up Section 5.14: Prescribed Active Contraction Subsection 5.14.3: Isotropic Active Contraction 

5.14.2 Transversely Isotropic Active Contraction

In this case, the active stress is isotropic in a plane transverse to the direction , and the corresponding Cauchy stress is where is the left Cauchy-Green tensor. The material and spatial tangents are zero.
 Subsection 5.14.1: Uniaxial Active Contraction Up Section 5.14: Prescribed Active Contraction Subsection 5.14.3: Isotropic Active Contraction