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We report a method for describing plasticity in a broad class of amorphous materials. The method is based on nonlinear (geometric) deformation theory allowing the separation of the plastic deformation from the general deformation tensor.…

Soft Condensed Matter · Physics 2007-05-23 Sergei F. Lyuksyutov , Ruslan A. Sharipov

This paper verifies two laws for plastic flows of face-centered cubic crystals that deform at constant strain rates and fixed ambient temperatures. The first law relates steady-state flow stress to ambient temperature and strain rate. The…

Materials Science · Physics 2020-04-01 Khanh Chau Le

For monodomain nematic elastomers, we construct generalised elastic-nematic constitutive models combining purely elastic and neoclassical-type strain-energy densities. Inspired by recent developments in stochastic elasticity, we extend…

Soft Condensed Matter · Physics 2020-03-17 L. Angela Mihai , Alain Goriely

The capture of a soft spherical particle by a rectangular slit leads to a non-monotonic pressure-flow rate relation at low Reynolds number. In the presence of the trapped particle the flow-induced deformations focus the streamlines and…

Soft Condensed Matter · Physics 2023-02-22 Charles Paul Moore , Julien Husson , Arezki Boudaoud , Gabriel Amselem , Charles N. Baroud

The inertial number-based rheology, popularly known as the JFP model, is well known for describing the rheology of granular materials in the dense flow regime. While most of the recent studies focus on the steady-state rheology of granular…

Soft Condensed Matter · Physics 2024-05-16 Satyabrata Patro , Anurag Tripathi

Motivated by problems arising in tear film dynamics, we present a model for the extensional flow of thin sheets of nematic liquid crystal. The rod-like molecules of these substances impart an elastic contribution to its response. We rescale…

Fluid Dynamics · Physics 2023-06-28 M. J. Taranchuk , L. J. Cummings , T. A. Driscoll , R. J. Braun

A new approach for generating stress-constrained topological designs in continua is presented. The main novelty is in the use of elasto-plastic modeling and in optimizing the design such that it will exhibit a linear-elastic response. This…

Computational Engineering, Finance, and Science · Computer Science 2016-08-25 Oded Amir

We compare six elastic models for polymer networks in the context of phase separation within a gel, including a new model that combines the finite extensible Arruda-Boyce model and the slip tube model for entangled chains. We study…

Soft Condensed Matter · Physics 2025-10-08 Shichen Wang , Peter D. Olmsted

Abstract. We present a framework for the kinematics of a material body undergoing anelastic deformation. For such processes, the material structure of the body, as reflected by the geometric structure given to the set of body points,…

Mathematical Physics · Physics 2023-01-23 Vladimir Goldshtein , Paolo Maria Mariano , Domenico Mucci , Reuven Segev

A number of current theories of plasticity in amorphous solids assume at their basis that plastic deformations are spatially localized. We present in this paper a series of numerical experiments to test the degree of locality of plastic…

Statistical Mechanics · Physics 2015-05-13 Edan Lerner , Itamar Procaccia

There is an ever-growing need for predictive models for the elasto-viscoplastic deformation of solids. Our goal in this paper is to incorporate recently developed out-of-equilibrium statistical concepts into a thermodynamically consistent,…

Materials Science · Physics 2015-06-18 Ken Kamrin , Eran Bouchbinder

The universal generalising approach for non-isothermal behaviour of different alloys has been provided together with the novel deformation modelling. Strong correlation between the model approach and experimental results is shown that…

Designing and fabricating structures with specific mechanical properties requires understanding the intricate relationship between design parameters and performance. Understanding the design-performance relationship becomes increasingly…

Graphics · Computer Science 2024-08-28 Samuel Silverman , Kelsey L. Snapp , Keith A. Brown , Emily Whiting

The paper is concerned with dynamics of multi-phase media consisting of a solid permeable material and a compressible Newtonian fluid. Governing macroscopic equations are derived starting from the space-averaged microscopic mass and…

Fluid Dynamics · Physics 2007-05-29 Vyacheslav S. Borisov

We consider dense rapid shear flow of inelastically colliding hard disks. Navier-Stokes granular hydrodynamics is applied accounting for the recent finding \cite{Luding,Khain} that shear viscosity diverges at a lower density than the rest…

Soft Condensed Matter · Physics 2009-11-13 Evgeniy Khain

This work presents a general unified theory for coupled nonlinear elastic and inelastic deformations of curved thin shells. The coupling is based on a multiplicative decomposition of the surface deformation gradient. The kinematics of this…

Classical Physics · Physics 2019-09-12 Roger A. Sauer , Reza Ghaffari , Anurag Gupta

We use a continuous mesoscopic model to address the yielding properties of plastic composites, formed by a host material and inclusions with different elastic and/or plastic properties. We investigate the flow properties of the composed…

Statistical Mechanics · Physics 2020-05-06 E. A. Jagla

We consider dry granular flow down an inclined chute with a localised contraction theoretically and numerically. The flow regimes are predicted through a novel extended one-dimensional hydraulic theory. A discrete particle method validated…

Geophysics · Physics 2015-04-20 D. R. Tunuguntla , T. Weinhart , A. R. Thornton , O. Bokhove

While data-driven methods offer significant promise for modeling complex materials, they often face challenges in generalizing across diverse physical scenarios and maintaining physical consistency. To address these limitations, we propose…

Graphics · Computer Science 2025-10-27 Xueguang Xie , Shu Yan , Shiwen Jia , Siyu Yang , Aimin Hao , Yang Gao , Peng Yu

Many dense granular systems are non-monodisperse, consisting of particles of different sizes, and will segregate based on size during flow. This phenomenon is an important aspect of many industrial and geophysical processes, necessitating…

Soft Condensed Matter · Physics 2024-05-28 Harkirat Singh , David L. Henann