Semiholonomic Second Order Connections Associated with Material Bodies

Abstract EN

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.