2011
DOI: 10.1098/rsta.2011.0058
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Shear banding from lattice kinetic models with competing interactions

Abstract: We present numerical simulations based on a Boltzmann kinetic model with competing interactions, aimed at characterizing the rheological properties of soft-glassy materials. The lattice kinetic model is shown to reproduce typical signatures of driven soft-glassy flows in confined geometries, such as Herschel-Bulkley rheology, shear banding and hysteresis. This lends further credit to the present lattice kinetic model as a valuable tool for the theoretical/computational investigation of the rheology of driven s… Show more

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“…Certainly, a study of the phenomena of strain localization is crucial in developing a predictive capability for the analysis of nucleation of instability in the microstructure and material failure. Some attempts at modelling strain localization and shear band phenomenon were reported in the literature [13][14][15][16][17]. Constitutive isotropic material description, employing a modified form of a Johnson-Cook model, is popularly used in such simulations [13,14], which do not account for the underlying anisotropy related to the crystal orientation.…”
Section: Introductionmentioning
confidence: 99%
“…Certainly, a study of the phenomena of strain localization is crucial in developing a predictive capability for the analysis of nucleation of instability in the microstructure and material failure. Some attempts at modelling strain localization and shear band phenomenon were reported in the literature [13][14][15][16][17]. Constitutive isotropic material description, employing a modified form of a Johnson-Cook model, is popularly used in such simulations [13,14], which do not account for the underlying anisotropy related to the crystal orientation.…”
Section: Introductionmentioning
confidence: 99%