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We propose and numerically implement a constitutive framework for granular media that allows the material to traverse through its many common phases during the flow process. When dense, the material is treated as a pressure sensitive…

Soft Condensed Matter · Physics 2015-12-09 Sachith Dunatunga , Ken Kamrin

A numerical model able to simulate solid-state constrained sintering is presented. The model couples an existing kinetic Monte Carlo (kMC) model for free sintering with a finite element model (FEM) for calculating stresses on a…

Materials Science · Physics 2016-05-10 R. Bjørk , H. L. Frandsen , N. Pryds

We provide a derivation of the Foppl-von Karman equations for the shape of and stresses in an elastic plate with residual strains. These might arise from a range of causes: inhomogeneous growth, plastic deformation, swelling or shrinkage…

Analysis of PDEs · Mathematics 2015-05-18 Marta Lewicka , L. Mahadevan , Reza Pakzad

We study the stress profile of an ordered two-dimensional packing of beads in response to the application of a vertical overload localized at its top surface. Disorder is introduced through the Coulombic friction between the grains which…

Condensed Matter · Physics 2009-11-07 Laurent Breton , Philippe Claudin , Éric Clément , Jean-Daniel Zucker

We develop a coarse-grained description of the point-vortex model, finding that a large number of planar vortices and antivortices behave as an inviscid non-Eulerian fluid at large scales. The emergent binary vortex fluid is subject to…

Quantum Gases · Physics 2017-11-01 Xiaoquan Yu , Ashton S. Bradley

We introduce a one-dimensional stress-rate type nonlinear viscoelastic model for solids that obey the assumptions of the strain-limiting theory. Unlike the classical viscoelasticity theory, the critical hypothesis in the present…

Analysis of PDEs · Mathematics 2020-09-09 Husnu A. Erbay , Yasemin Sengul

Inspired by natural cellular materials such as trabecular bone, lattice structures have been developed as a new type of lightweight material. In this paper we present a novel method to design lattice structures that conform with both the…

Computational Engineering, Finance, and Science · Computer Science 2019-09-06 Jun Wu , Weiming Wang , Xifeng Gao

We study the effect of mergers in the force chain model describing the stress profile in static granular materials. Combining numerical and analytical calculations we show that granular materials do not generally behave in an elastic-like…

Soft Condensed Matter · Physics 2009-11-10 Yael Roichman , Dov Levine , Irad Yavneh

The technique of construction on Manhattan lattice (ML) the fermionic action for Integrable models is presented. The Sign-Factor of 3D Ising model (SF of 3DIM) and Chalker-Coddington-s phenomenological model (CCM) for the edge excitations…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Sedrakyan

We define a natural coarse-graining procedure which can be applied to any closed equilibrium quantum system described by a density matrix ensemble and we show how the coarse-graining leads to the Gaussian and canonical ensembles. After this…

High Energy Physics - Lattice · Physics 2015-06-25 Jani Lukkarinen

The effect of a step wise change in the pillar density on the dynamics of droplets is investigated via three-dimensional lattice Boltzmann simulations. For the same pillar density gradient but different pillar arrangements, both motion over…

Soft Condensed Matter · Physics 2015-05-14 Nasrollah Moradi , fathollah Varnik , Ingo Steinbach

We examine how disordering joint position influences the linear elastic behavior of lattice materials via numerical simulations in two-dimensional beam networks. Three distinct initial crystalline geometries are selected as representative…

Soft Condensed Matter · Physics 2022-08-31 Antoine Montiel , Thuy Nguyen , Cindy Rountree , Valérie Geertsen , Patrick Guenoun , Daniel Bonamy

We demonstrate that the spatial correlations of microscopic stresses in 2D model colloidal gels obtained in computer simulations can be quantitatively described by the predictions of a theory for emergent elasticity of pre-stressed solids…

A mesoscopic model of a diblock copolymer is used to study the stability of a lamellar structure under a uniform shear flow. We first obtain the nonlinear lamellar solutions under both steady and oscillatory shear flows. Regions of…

Soft Condensed Matter · Physics 2015-06-25 Francois Drolet , Jorge Vinals

We introduce and analyze a stress-based formulation for Zener's model in linear viscoelasticity. The method is aimed to tackle efficiently heterogeneous materials that admit purely elastic and viscoelastic parts in their composition. We…

Numerical Analysis · Mathematics 2020-10-19 Antonio Márquez , Salim Meddahi

Using cluster tilting theory, we investigate tilting objects in the stable category of vector bundles on a weighted projective line of weight type $(2, 2, 2, 2)$. More precisely, a tilting object consisting of rank-two bundles is…

Representation Theory · Mathematics 2019-04-05 Jianmin Chen , Yanan Lin , Pin Liu , Shiquan Ruan

A multi-component lattice Boltzmann model recently introduced (R. Benzi et al. Phys. Rev. Lett 102, 026002 (2009)) to describe some dynamical behaviors of soft-flowing materials is theoretically analyzed. Equilibrium and transport…

Soft Condensed Matter · Physics 2015-05-13 R. Benzi , M. Sbragaglia , S. Succi , M. Bernaschi , S. Chibbaro

We study the filling process of a two-dimensional silo with inelastic particles by simulation of a granular media lattice gas (GMLG) model. We calculate the surface shape and flow profiles for a monodisperse system and we introduce a novel…

Disordered Systems and Neural Networks · Physics 2009-10-31 Antal Károlyi , János Kertész , Shlomo Havlin , Hernán A. Makse , H. Eugene Stanley

Numerous models have been developed in the literature to simulate the thermomechanical behavior of amorphous polymer at large strain. These models generally show a good agreement with experimental results when the material is submitted to…

Soft Condensed Matter · Physics 2021-06-23 Ca Bernard , D George , S Ahzi , Y Rémond

The hardness of materials plays an important role in material design. There are numerous experimental methods to measure the hardness of materials, but theoretical prediction of hardness is challenging. By investigating the correlation…

Materials Science · Physics 2024-12-24 Faridun N. Jalolov , Alexander G. Kvashnin
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