A viscoplastic constitutive model for granular soils modified according to non-local and gradient approaches. (English) Zbl 1112.74440
Summary: An already available non-associated elastic-viscoplastic constitutive model with anisotropic strain hardening is modified in order to describe both the constitutive parameter dependency on relative density and the spatio-temporal evolution of strain localization. To achieve this latter goal, two distinct but similar approaches are introduced: one inspired by the gradient theory and one by the non-local theory. A one-dimensional case concerning a simple shear test for a non-homogeneous infinitely long dense sand specimen is numerically discussed and a finite difference scheme is employed for this purpose. The results obtained by following the two different approaches are critically analysed and compared.
MSC:
| 74L10 | Soil and rock mechanics |
| 74C10 | Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) |
| 74S20 | Finite difference methods applied to problems in solid mechanics |
Keywords:
granular material; stability and bifurcation; finite differences; elastic-viscoplastic materialReferences:
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