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We present a nite element method for large deformations response of an active incom- pressible nonlinear elastic and transversely isotropic soft tissue. The functional form of the strain energy function presented describes the mechanical properties of the active biological soft tissue and uses a time-dependent activation function. In addition we give the nite element equations for such a constitutive law. Assuming negligible body forces and inertia, a three-dimensional cylindrical ele- ment is used to obtain solution to an active contraction of a nite thick-wall anisotropic cylinder. The problem is chosen for the existence of an exact solution for the nite element model validation. R esum e. Nous pr esentons une m ethode d' el ements nis pour la simulation en elasticit e non lin eaire et en grandes d eformations des d eplacements d'un tissu musculaire actif, incompressible, transversalement isotrope. La fonction d' energie pr esent ee ici d ecrit les propri et es m ecaniques du tissu actif et fait intervenir une fonction d'activation d ependant du temps. Supposant les forces internes et d'inertie n egligeables, nous utilisons un el ement cylindrique pour calculer les d eplacements lors de la contraction active d'un cylindre ni a paroi epaisse et anisotrope. Les cas tests choisis permettent de valider la m ethode gr^ ace a la connaissance d'une solution analytique.

A three dimensional finite element method for a biological active soft tissue