2009/03/03 by Lydéric Bocquet, Lyderic Bocquet, Annie Colin +1 · 4 citations
Chemical Engineering · Engineering · Materials Science · Mathematics · Physics and Astronomy · #Boltzmann equation #Classical mechanics #Constitutive equation #Distribution function #Finite element method #Flow (mathematics) #Granularity #Kinetic energy #Kinetic theory #Lattice Boltzmann Simulation Studies #Limit (mathematics) #Material Dynamics and Properties #Materials science #Mathematical analysis #Mathematics #Mechanics #Physics #Plasticity #Quasistatic process #Rheology and Fluid Dynamics Studies #Statistical physics #Thermodynamics #cond-mat.mtrl-sci #cond-mat.soft
paper · pdf · doi:10.1103/physrevlett.103.036001
published as Phys. Rev. Lett. vol 103, 036001 (2009) · 5 pages, 2 figures
arxiv created 2009/03/03 · openalex publication_date 2009/07/17 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A kinetic model for the elastoplastic dynamics of a jammed material is proposed, which takes the form of a nonlocal--Boltzmann-like--kinetic equation for the stress distribution function. Coarse graining this equation yields a nonlocal constitutive law for the flow, exhibiting as a key dynamic quantity the local rate of plastic events. This quantity, interpreted as a local fluidity, is spatially correlated with a correlation length diverging in the quasistatic limit, i.e., close to yielding. In line with recent experimental and numerical observations, we predict finite size effects in the flow behavior, as well as the absence of an intrinsic local flow curve.