Finite extension and torsion of papillary muscles: a theoretical framework

We present a new analytical solution for the finite extension and torsion of a nonlinearly pseudoelastic, homogeneous, transversely isotropic, incompressible, solid circular cylinder. This solution can be used to guide the performance and interpretation of experiments, and to identify a specific functional form of a three-dimensional constitutive relation directly from data. We submit, therefore, that this solution can be used by experimentalists to quantify the multiaxial constitutive relations, including shear, of both passive and tonically activated papillary muscles for the first time.