Mechanical and mathematical modeling of visco-elastic continua - constitutive equations

Abstract

Phenomenological models of continuum mechanics applied on the rigid body are more or less idealized. Experimental measuring showed there is a plastic flow, respectively relaxation in real rigid bodies, i.e. stress is the function of strain, strain velocity and the higher time derivatives. The paper deals with the rheological models based on the Hook elastic and Newton viscous masses. The corresponding constitutive equations are described.