Abstract (Invited)

A Dynamic Model of Hysteretic Elastic Systems

R.Guyer (University of Massachusetts, Hasbrouck Laboratory, Amherst, Massachusetts, USA); B.Capgrosso-Sansone (Los Alamos National Laboratory, Los Alamos, USA)

e-mail: guyer@physics.umass.edu

A system of coupled differential equations, one for the displacement field and a second for the state variable, the state variable controls the hysteretic response of an elastic element, has been developed. These equations are a dynamic generalization of the McCall and Guyer model for the description of elastic systems having hysteresis with end point memory. The result of numerical solution to these equations will be described. The qualitative results seen in the analysis of numerical data , in accord with those seen in similar analysis of real data, justify regarding the model as a suitable starting point for modeling the dynamic behavior of hysteretic elastic systems, e.g. earth materials. Generalization of the model to the case when the elastic field is coupled to auxillary fields, like the saturation field, are discussed as are simple notions about bring the model system into thermal equilbrium by introducing stochastic forces.

Section : 3