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Modelling the large deformations in stratified media—the Cosserat continuum approach

✍ Scribed by D. P. Adhikary; Dr. H.-B. Mühlhaus; A. V. Dyskin

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
384 KB
Volume
4
Category
Article
ISSN
1082-5010

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✦ Synopsis

Methods employing continuum approximation in describing the deformation of layered materials possess a clear advantage over explicit models. However, the conventional implicit models based on the theory of anisotropic continua su!ers from certain di$culties associated with interface slip and internal instabilities. These di$culties can be remedied by considering the bending sti!ness of the layers. This implies the introduction of moment (couple) stresses and internal rotations, which leads to a Cosserat-type theory. In the present model, the behaviour of the layered material is assumed to be linearly elastic; the interfaces are assumed to be elastic perfectly plastic. Conditions of slip or no slip at the interfaces are detected by a Coulomb criterion with tension cut o! at zero normal stress. The theory is valid for large deformation analysis. The model is incorporated into the "nite element program AFENA and validated against analytical solutions of elementary buckling problems in layered medium. A problem associated with buckling of the roof and the #oor of a rectangular excavation in jointed rock mass under high horizontal in situ stresses is considered as the main application of the theory.

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