The closed continuous-time homogeneous semi-markov system as a non-newtonian fluid

The set of the attainable structures of a closed continuous-time homogeneous semi-markov system (HSMS) with n states, is considered as a continuum and the evolution of the HSMS in the Euclidean space E-n corresponds to its motion. In accordance with the velocity held of the HSMS, a suitable model of a continuum-defined by an acceleration-dependent stress tensor of the form T = - pI + 2 mu M and satisfying the Cauchy's equation of motion-is proposed in order to explain the motion of the HSMS. Then, the variation of the internal, kinetic and total energy of the model is examined. Copyright (C) 2000 John Wiley & Sons Ltd.