A gradient flow theory of plasticity for granular materials
Document Type
Article
Publication Date
9-1991
Department
Department of Mathematical Sciences
Abstract
A flow theory of plasticity for pressure-sensitive, dilatant materials incorporating second order gradients into the flow-rule and yield condition is suggested. The appropriate extra boundary conditions are obtained with the aid of the principle of virtual work. The implications of the theory into shear-band analysis are examined. The determination of the shear-band thickness and the persistence of ellipticity in the governing equations are discussed.
Publication Title
Acta Mechanica
Recommended Citation
Vardoulakis, I.,
&
Aifantis, E.
(1991).
A gradient flow theory of plasticity for granular materials.
Acta Mechanica,
87(3-4), 197-217.
http://doi.org/10.1007/BF01299795
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4315
Publisher's Statement
© 1991 Springer-Verlag. Publisher’s version of record: https://doi.org/10.1007/BF01299795