The thermomechanical behavior of a material is expressed mathematically by means of one or more constitutive equations representing the response of the body to the history of its deformation and temperature. These settings induce a set of connections which can express local properties. We replace two of them by a second order connection and prove that the holonomity of this connection classifies our materials.
"Semiholonomic Second Order Connections Associated with Material Bodies." J. Appl. Math. 2013 1 - 5, 2013. https://doi.org/10.1155/2013/840936