Kinematics

This chapter deals with the kinematics of deformable bodies. Both deformation and motion of a body are developed by using the reference configuration. Attention is addressed to the topics of objectivity and objective time derivatives, thus establishing a general framework that proves remarkable in the description of material properties in terms of time derivatives. Transport relations are obtained for convecting (or non-convecting) sets and hence basic properties are established for the derivation of local balance equations and jump conditions for discontinuous fields.