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A gradient flow theory of plasticity for granular materials. (English) Zbl 0735.73026
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.

MSC:
74C99 Plastic materials, materials of stress-rate and internal-variable type
74L10 Soil and rock mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
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