Сибирский федеральный университет

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: Mathematical and numerical aspects of wave propagation; Jyvaskyla; Jyvaskyla

Год издания: 2003

Идентификатор DOI: 10.1007/978-3-642-55856-6_53

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 sub differentials of convex nondifferentiable 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

Номера страниц: 333-338

Издатель: Springer

• Sadovskii Vladimir (Institute of Computational Modeling, Siberian Division Russian Academy of Sciences)
• Sadovskaya Oxana (Institute of Computational Modeling, Siberian Division Russian Academy of Sciences)

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