Год издания: 2003
Аннотация: To describe the process of hetero-modular materials deformation within the framework of rheological approach the classical scheme is completed by a new element - rigid contact. With the help of this element constitutive relationships for granular media possessing elastic, viscous and plastic properties can be presented. In mathematПоказать полностьюical terms such relationships include subdifferentials of convex non-differentiable potential functions and take a form of variational inequalities having evident procedures of numerical realization. In this paper the process of a shock waves propagation is considered on the basis of the model of elastic-plastic granular medium. Our model uses Mises-Schleiher destruction criterion to describe the granularity of medium and Mises yield condition to determine the plasticity of granules. Under various combinations of phenomenological parameters of the model a percussive adiabats for longitudinal elastic and plastic shock waves of compression and signotones are obtained.
Журнал: MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, WAVES 2003
Номера страниц: 333-338
Место издания: BERLIN
Издатель: SPRINGER-VERLAG BERLIN