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A Dynamical System Theory of Large Deformations and Patterns in Non-Cohesive Solids

Published online by Cambridge University Press:  01 January 1992

Pierre Evesque
Affiliation:
Laboratoire de Mécanique :Sols, Structures et Matériaux, CNRS URA 850, Ecole Centrale de Paris, 92295 Chatenay-Malabry Cedex, France
Didier Sornette
Affiliation:
Laboratoire de Physique de la Matière Condensée, URA CNRS 190, Université de Nice- Sophia Antipolis, Parc Valrose, 06034 NICE Cedex, France
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Abstract

We propose a dynamical system theory of triaxial-test deformationS and localization bifurcation in brittle media. We apply it to predict that localization may occur in a packing looser than “critical” and that the general localization shape is a spiral staircase in axisymmetric 3-D cells. These two facts have recently been confirmed experimentally. This theory provides a framework for understanding the development of complex deformation patterns from the mechanics of localization and rupture.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

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References

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