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The isostaticity theory for stress transmission in macroscopic planar particulate assemblies is extended here to non-rigid particles. It is shown that, provided that the mean coordination number in $d$ dimensions is $d+1$, macroscopic…

Soft Condensed Matter · Physics 2007-05-23 Raphael Blumenfeld

We present a systematic investigation of the distribution of normal forces at the boundaries of static packings of spheres. A new method for the efficient construction of large hexagonal-close-packed crystals is introduced and used to study…

Soft Condensed Matter · Physics 2009-10-31 Daniel L. Blair , Nathan W. Mueggenburg , Adam H. Marshall , Heinrich M. Jaeger , Sidney R. Nagel

The stress-mediated diffusion of nonequilibrium point defects from the surface to the bulk of the semiconductor is investigated by computer simulation. It is supposed that point defects are generated in the surface region by ion…

Materials Science · Physics 2007-05-23 O. I. Velichko

Polydispersity is inevitable in industrially produced polymers. Established theories of polymer dynamics and rheology, however, were mostly built on monodisperse linear polymers. Dynamics of polydisperse polymers is yet to be fully explored…

Soft Condensed Matter · Physics 2021-06-29 Oluseye Adeyemi , Shiping Zhu , Li Xi

We develop a model for the gliding of dislocations and plasticity in solid He-4. This model takes into account the Peierls barrier, multiplication and interaction of dislocations, as well as classical thermally and mechanically activated…

From a general point of view, InterGranular Stress-Corrosion Cracking (IGSCC) results from the interplay between mechanical loading and grain boundaries opening. The former leads to intergranular stresses in polycrystalline aggregates, the…

Materials Science · Physics 2018-06-25 S. El Shawish , J. Hure

Atomic crystals with dislocations deform plastically at low stresses via dislocation glide. Whether dislocation glide occurs in macroscopic frictional granular media has remained unknown. The discrete element method is employed to simulate…

Materials Science · Physics 2026-05-26 Fumiaki Nakai , Takashi Uneyama , Yuto Sasaki , Kiwamu Yoshii , Hiroaki Katsuragi

This research article presents stress distribution and fracture analysis of a cantilever beam considering both continuum and lumped distribution of gravity force. Airy stress function is used to derive two-dimensional stress distribution…

Applied Physics · Physics 2023-05-15 Vadapalli Surya Prasanth , Arun K. Singh

In this paper we address the vector problem of a 2D half-plane interfacial crack loaded by a general asymmetric distribution of forces acting on its faces. It is shown that the general integral formula for the evaluation of stress intensity…

Mathematical Physics · Physics 2015-05-13 A. Piccolroaz , G. Mishuris , A. B. Movchan

A novel, concurrent multiscale approach to meso/macroscale plasticity is demonstrated. It utilizes a carefully designed coupling of a partial differential equation (pde) based theory of dislocation mediated crystal plasticity with…

Computational Engineering, Finance, and Science · Computer Science 2020-07-15 Sabyasachi Chatterjee , Giacomo Po , Xiaohan Zhang , Amit Acharya , Nasr Ghoniem

We analyze the behavior of a suspension of active polar particles under shear. In the absence of external forces, orientationally ordered active particles are known to exhibit a transition to a state of non-uniform polarization and…

Soft Condensed Matter · Physics 2010-05-07 Luca Giomi , M. Cristina Marchetti , Tanniemola B. Liverpool

In this paper, we present some analytical solutions for the stress fields of nonlinear anisotropic solids with distributed line and point defects. In particular, we determine the stress fields of i) a parallel cylindrically-symmetric…

Soft Condensed Matter · Physics 2018-05-24 Ashkan Golgoon , Arash Yavari

Discrete dislocation dynamics (DDD) simulations offer valuable insights into the plastic deformation and work-hardening behavior of metals by explicitly modeling the evolution of dislocation lines under stress. However, the computational…

Materials Science · Physics 2023-08-22 Rasool Ahmad , Wei Cai

Stress-strain curves, or more generally, stress functions, are an extremely important characterization of a material's mechanical properties. However, stress functions are often difficult to derive and are narrowly tailored to a specific…

Materials Science · Physics 2023-12-21 Garrett Blum , Ryan Doris , Diego Klabjan , Horacio Espinosa , Ron Szalkowski

This paper addresses the issue of the determination of the frictional stress distribution from the inversion of the measured surface displacement field for sliding interfaces between a glass lens and a rubber (poly(dimethylsiloxane))…

Soft Condensed Matter · Physics 2017-01-30 D. T. Nguyen , P. Paolino , M-C. Audry , A. Chateauminois , C. Frétigny , Y. Le Chenadec , M. Portigliatti , E. Barthel

Discovering relationships between materials' microstructures and mechanical properties is a key goal of materials science. Here, we outline a strategy exploiting Bayesian optimization to efficiently search the multidimensional space of…

Materials Science · Physics 2022-12-08 Mika Sarvilahti , Lasse Laurson

We propose a dynamical theory of low-temperature shear deformation in amorphous solids. Our analysis is based on molecular-dynamics simulations of a two-dimensional, two-component noncrystalline system. These numerical simulations reveal…

Statistical Mechanics · Physics 2009-10-30 M. L. Falk , J. S. Langer

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…

We present effects of dislocation inertia on the driven dislocation glide through local immobile pinnings using a stochastic computational model. The global dislocation velocity at a higher stress range is found noticeably dependent on the…

Materials Science · Physics 2007-05-23 Masato Hiratani , Vasily V. Bulatov

We study how local rearrangements alter droplet stresses within flowing dense quasi-two-dimensional emulsions at area fractions $\phi \geq 0.88$. Using microscopy, we measure droplet positions while simultaneously using their deformed shape…

Soft Condensed Matter · Physics 2015-08-31 Kenneth W. Desmond , Eric R. Weeks
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