ABSTRACT
Stress is normally defined as the resultant force per unit area in the neighborhood of a particle. It is therefore a local measure of internal force around a particle that requires the assumption of local homogeneity in the material. Cauchy stress defined in the deformed configuration and referring to the spatial coordinate system is often termed true stress or engineering stress. Material constitutive relations in rate form are generally required for incremental-iterative nonlinear finite element analysis. The Jaumann and Truesdell rates of Cauchy stress are both objective stress rates and therefore can be used in material models expressed in rate form, as is necessary in general for incremental-iterative nonlinear finite element analysis. The Truesdell stress rate refers to the convected base vectors, which coincide with the Cartesian base vectors at the deformed configuration. The chapter considers the rigid body rotation of a plate that carries an initial uniaxial stress that remains constant as the plate rotates.
