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Stress transmission inside three dimensional granular packings is investigated using computer simulations. Localized force perturbation techniques are implemented for frictionless and frictional shallow, ordered, granular arrays confined by…

Soft Condensed Matter · Physics 2015-05-30 Abdullah Cakir , Leonardo E. Silbert

Synchrotron Laue microdiffraction and Digital Image Correlation measurements were coupled to track the elastic strain field (or stress field) and the total strain field near a general grain boundary in a bent bicrystal. A 316L stainless…

The application of harmonic expansions to estimate intra-grain stress distributions from grain-averaged stress data is presented that extends the capabilities of the open source code, MechMonics. The method is based on using an optimization…

Materials Science · Physics 2021-07-01 Paul R. Dawson , Matthew. P. Miller

The response to a localized force provides a sensitive test for different models of stress transmission in granular solids. The elasto-plastic models traditionally used by engineers have been challenged by theoretical and experimental…

Soft Condensed Matter · Physics 2009-11-13 C. Goldenberg , I. Goldhirsch

The effect of crystallography on transgranular chloride-induced stress corrosion cracking (TGCISCC) of arc welded 304L austenitic stainless steel is studied on >300 grains along crack paths. Schmid and Taylor factor mismatches across grain…

Previous studies demonstrate that grain-boundary sliding could accelerate creep rate and give rise to large internal stresses that can lead to damage development, e.g. formation of wedge cracks. The present study provides more insight into…

Materials Science · Physics 2021-03-02 Markian Petkov , Elsiddig Elmukashfi , Edmund Tarleton , Alan C. F. Cocks

Isostaticity theory (IT) provides stress field equations for marginally rigid packs of non-cohesive particles, interacting through hard-core forces. Its main advantage over strain-based theories is by closing the stress equations with…

Soft Condensed Matter · Physics 2020-02-28 Raphael Blumenfeld

We present a theoretical method for deriving the stress tensor and elastic response of ordered systems within a Ginzburg-Landau type density field theory in the linear regime. This is based on spatially coarse graining the microscopic…

Materials Science · Physics 2021-07-07 Vidar Skogvoll , Audun Skaugen , Luiza Angheluta

We examine the network of forces to be expected in a static assembly of hard, frictionless spherical beads of random sizes, such as a colloidal glass. Such an assembly is minimally connected: the ratio of constraint equations to contact…

Soft Condensed Matter · Physics 2009-10-31 Alexei V. Tkachenko , Thomas A. Witten

Physical experiments can characterize the elastic response of granular materials in terms of macroscopic state-variables, namely volume (packing) fraction and stress, while the microstructure is not accessible and thus neglected. Here, by…

Soft Condensed Matter · Physics 2015-06-16 Nishant Kumar , Stefan Luding , Vanessa Magnanimo

At low temperature, T -> 0, the yield stress of a perfect crystal is equal to its so called theoretical strength. The yield stress of non-perfect crystals is controlled by the stress threshold of dislocation mobility. A non-crystalline…

Materials Science · Physics 2011-07-01 Nikolai Lazarev , Alexander Bakai

The first normal stress difference (${\mathcal N}_1$) and the microstructure in a dense sheared granular fluid of smooth inelastic hard-disks are probed using event-driven simulations. While the anisotropy in the second moment of…

Soft Condensed Matter · Physics 2009-11-10 Meheboob Alam , Stefan Luding

Real-world solids, such as rocks, soft tissues, and engineering materials, are often under some form of stress. Most real materials are also, to some degree, anisotropic due to their microstructure, a characteristic often called the…

Classical Physics · Physics 2022-08-09 Soumya Mukherjee , Michel Destrade , Artur L. Gower

We modify a theory of flow stress introduced in [arXiv:1803.08247[cond-mat.mtrl-sci]], [arXiv:1809.03628[cond-mat.mes-hall]], [arXiv:1908.09338[cond-mat.mtrl-sci]] for a class of polycrystalline materials with equilibrium and…

Materials Science · Physics 2023-09-18 Alexander A. Reshetnyak , Varvara V. Shamshutdinova

The stress profile and reorientation of grains, in response to a point force applied to a preloaded two dimensional granular system, are calculated in the context of a continuum theory that incorporates the texture of the packing. When high…

Soft Condensed Matter · Physics 2007-05-23 Rava da Silveira , Guillaume Vidalenc , Cyprien Gay

A new method for estimation of intragranular strain fields in polycrystalline materials based on scanning three-dimensional X-ray diffraction data (scanning-3DXRD) is presented and evaluated. Given an apriori known anisotropic compliance,…

Materials Science · Physics 2021-06-16 Axel Henningsson , Johannes Hendriks

To explore the possible mechanical correlations between intraocular pressure (IOP) variations and glaucoma, this study presents a transversely isotropic poroelastic model of the Lamina Cribrosa (LC) based on Reissner Mindlin plate theory,…

Using the notion of eigenstrain produced by the defects formed in a material exposed to high energy neutron irradiation, we develop a method for computing macroscopic elastic stress and strain arising in components of a fusion power plant…

Materials Science · Physics 2021-12-22 Luca Reali , Max Boleininger , Mark R. Gilbert , Sergei L. Dudarev

We derive exact probability distributions for the strain ($\epsilon$) at which the first stress drop event occurs in uniformly strained disordered crystals, with quenched disorder introduced through polydispersity in particle sizes. We…

Soft Condensed Matter · Physics 2023-01-04 Roshan Maharana , Jishnu N. Nampoothiri , Kabir Ramola

We report on systematic measurements of the distribution of normal forces exerted by granular material under uniaxial compression onto the interior surfaces of a confining vessel. Our experiments on three-dimensional, random packings of…

Materials Science · Physics 2009-10-31 Daniel M. Mueth , Heinrich M. Jaeger , Sidney R. Nagel