Summary
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.
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Vardoulakis, I., Aifantis, E.C. A gradient flow theory of plasticity for granular materials. Acta Mechanica 87, 197–217 (1991). https://doi.org/10.1007/BF01299795
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DOI: https://doi.org/10.1007/BF01299795
Keywords
- Boundary Condition
- Dynamical System
- Fluid Dynamics
- Governing Equation
- Granular Material