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Published in:
Localisation Precursors in Geomaterials? Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Strain Localization with Rate Dependent Models Versus Cosserat Continuum: An Illustrative Example

Authors : Ioannis Stefanou, Jean Sulem

Published in: Bifurcation and Degradation of Geomaterials with Engineering Applications

Publisher: Springer International Publishing

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Abstract

A simple example of adiabatic shearing of a rock layer under constant shear stress is considered in order to investigate and juxtapose two different modeling frameworks concerning strain localization and shear band thickness. The first framework is the Cauchy continuum with a rate dependent constitutive law (viscoplasticity). The second modeling framework is Cosserat elastoplasticity. Cosserat continuum is a special case of higher order continua. It is shown that the conditions for shear band triggering have a similar mathematical form, even though the starting point is different from a physical point of view.

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previous chapter Opening of Mode I Fractures in Geomaterials with Rotating Particles: Small-Scale Cosserat Continuum Approach and Its Verification
next chapter A Breakage Diffusion Model for Strength Softening Rock
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Metadata
Title
Strain Localization with Rate Dependent Models Versus Cosserat Continuum: An Illustrative Example
Authors
Ioannis Stefanou
Jean Sulem
Copyright Year
2017
Book
Bifurcation and Degradation of Geomaterials with Engineering Applications

Print ISBN: 978-3-319-56396-1

Electronic ISBN: 978-3-319-56397-8

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-56397-8_69