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Erschienen in:
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2012 | OriginalPaper | Buchkapitel

6. Elastic–Plastic Waves in a Loosened Material

verfasst von : Oxana Sadovskaya, Vladimir Sadovskii

Erschienen in: Mathematical Modeling in Mechanics of Granular Materials

Verlag: Springer Berlin Heidelberg

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Abstract

A priori estimates for solutions in characteristic cones, which provide assurance that a boundary-value problem with initial data and dissipative boundary conditions is well-posed in the framework of a model describing dynamic deformation of an elastic–plastic granular material, are obtained. Shock adiabatic curves for plane longitudinal compression waves, propagating in an unbounded body, are constructed for various combinations of mechanical parameters of a material. Computational algorithm for the analysis of propagation of shock waves of small amplitude in a granular material, based on the method of splitting with respect to physical processes and with respect to spatial variables, is proposed. The results of two-dimensional computations of interaction of signotons in an inhomogeneous loosened material accompanied by a transverse cumulative ejection as well as the results of modeling of the “dry boiling” process (formation of continuity jumps in a material under the action of periodic load and their collapse) are presented.

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Vorheriges Kapitel Limiting Equilibrium of a Material With Load Dependent Strength Properties
Nächstes Kapitel Contact Interaction of Layers
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Metadaten
Titel
Elastic–Plastic Waves in a Loosened Material
verfasst von
Oxana Sadovskaya
Vladimir Sadovskii
Copyright-Jahr
2012
Verlag
Springer Berlin Heidelberg
Buch
Mathematical Modeling in Mechanics of Granular Materials

Print ISBN: 978-3-642-29052-7

Electronic ISBN: 978-3-642-29053-4

Copyright-Jahr: 2012

DOI
https://doi.org/10.1007/978-3-642-29053-4_6

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