Сибирский федеральный университет

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 mathematical 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

• Sadovskaya Oxana V. (Russian Acad Sci, Inst Computat Modeling, Krasnoyarsk 660036, Russia)
• Sadovskii Vladimir M. (Russian Acad Sci, Inst Computat Modeling, Krasnoyarsk 660036, Russia)

• Web of Science Core Collection