NDLI: A local constitutive model with anisotropy for ratcheting under 2D axial-symmetric isobaric deformation

Content Provider	Springer Nature Link
Author	Magnanimo, V. Luding, S.
Copyright Year	2011
Abstract	A local constitutive model for anisotropic granular materials is introduced and applied to isobaric (homogeneous) axial-symmetric deformation. The simplified model (in the coordinate system of the bi-axial box) involves only scalar values for hydrostatic and shear stresses, for the volumetric and shear strains as well as for the new ingredient, the anisotropy modulus. The non-linear constitutive evolution equations that relate stress and anisotropy to strain are inspired by observations from discrete element method (DEM) simulations. For the sake of simplicity, parameters like the bulk and shear modulus are set to constants, while the shear stress ratio and the anisotropy evolve with different rates to their critical state limit values when shear deformations become large. When applied to isobaric deformation in the bi-axial geometry, the model shows ratcheting under cyclic loading. Fast and slow evolution of the anisotropy modulus with strain. Lead to dilatancy and contractancy, respectively. Furthermore, anisotropy acts such that it works “against” the strain/stress, e.g., a compressive strain builds up anisotropy that creates additional stress acting against further compression.
Starting Page	225
Ending Page	232
Page Count	8
File Format	PDF
ISSN	14345021
Journal	Granular Matter
Volume Number	13
Issue Number	3
e-ISSN	14347636
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-05-12
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Constitutive modeling with anisotropy Biaxial box Ratcheting Isobaric cyclic loading Engineering Thermodynamics, Heat and Mass Transfer Soft and Granular Matter, Complex Fluids and Microfluidics Industrial Chemistry/Chemical Engineering Geoengineering, Foundations, Hydraulics Materials Science Engineering Fluid Dynamics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials Materials Science

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