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A simple analytical model of intergranular normal stresses is proposed for a general elastic polycrystalline material with arbitrary shaped and randomly oriented grains under uniform loading. The model provides algebraic expressions for the…

Materials Science · Physics 2023-04-21 Samir El Shawish , Timon Mede

Intergranular normal stresses (INS) are critical in the initiation and evolution of grain boundary damage in polycrystalline materials. To model the effects of such microstructural damage on a macroscopic scale, knowledge of INS is usually…

Materials Science · Physics 2024-04-18 S. El Shawish

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

In order to predict InterGranular Stress Corrosion Cracking (IGSCC) of post-irradiated austenitic stainless steel in Light Water Reactor (LWR) environment, reliable predictions of intergranular stresses are required. Finite elements…

Materials Science · Physics 2016-10-04 J. Hure , S. El Shawish , L. Cizelj , B. Tanguy

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…

Randomly textured polycrystalline materials of constituents with highly anisotropic nature of grains can be considered globally isotropic. In order to determine the isotropic properties, like elasticity or conductivity, we propose a theory…

Materials Science · Physics 2018-12-07 Adam Takacs , Géza Tichy , Péter Dusán Ispánovity

In this paper we present a simple and effective numerical method which allows a fast Fourier transformation-based evaluation of stress generated by dislocations with arbitrary directions and Burgers vectors if the (site-dependent)…

Materials Science · Physics 2018-04-06 D. V. Berkov , N. L. Gorn

Polycrystalline metal failure often begins with stress concentration at grain boundaries. Identifying which microstructural features trigger these events is important but challenging because these extreme damage events are rare and the…

Applications · Statistics 2025-10-28 Yinling Zhang , Samuel D. Dunham , Curt A. Bronkhorst , Nan Chen

A lattice model is presented for investigating the fluctuations in static granular materials under gravitationally induced stress. The model is similar in spirit to the scalar q-model of Coppersmith et al., but ensures balance of all…

Condensed Matter · Physics 2009-10-30 Joshua E. S. Socolar

We study a scalar lattice model for inter-grain forces in static, non-cohesive, granular materials, obtaining two primary results. (i) The applied stress as a function of overall strain shows a power law dependence with a nontrivial…

Soft Condensed Matter · Physics 2009-10-31 Matthew G. Sexton , Joshua E. S. Socolar , David G. Schaeffer

Thermodynamic dislocation theory incorporating dislocation impediment by the grain boundaries is developed to analyze the shear test of polycrystals. With a small set of physics based material parameters, we are able to simulate the…

Materials Science · Physics 2021-04-13 Yinguang Piao , Khanh Chau Le

To investigate the barrier effect of grain boundaries on the propagation of avalanche-like plasticity at the atomic-scale, we perform three-dimensional molecular dynamics simulations by using simplified polycrystal models including…

Materials Science · Physics 2017-01-19 Tomoaki Niiyama , Tomotsugu Shimokawa

The mechanical properties of a material are intimately related to its microstructure. This is particularly important for predicting mechanical behavior of polycrystalline metals, where microstructural variations dictate the expected…

Materials Science · Physics 2024-01-23 Yejun Gu , Christopher D. Stiles , Jaafar A. El-Awady

Irradiation Assisted Stress Corrosion Cracking (IASCC) is a material degradation phenomenon affecting austenitic stainless steels used in nuclear Pressurized Water Reactors (PWR), leading to the initiation and propagation of intergranular…

Materials Science · Physics 2020-12-21 D. Liang , J. Hure , A. Courcelle , S. El Shawish , B. Tanguy

The standard way of modeling plasticity in polycrystals is by using the crystal plasticity model for single crystals in each grain, and imposing suitable traction and slip boundary conditions across grain boundaries. In this fashion, the…

Computational Physics · Physics 2017-06-07 Nikhil Chandra Admal , Giacomo Po , Jaime Marian

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

Intracrystalline diffusion is an invaluable tool for estimating timescales of geological events. Diffusion is typically modeled using gradients in chemical potential. However, chemical potential is derived for uniform pressure and…

Materials Science · Physics 2023-06-22 Benjamin L. Hess , Jay J. Ague

A macroscopic elastic description of stresses in static, preloaded granular media is derived systematically from the microscopic elasticity of individual inter-grain contacts. The assumed preloaded state and friction at contacts ensure that…

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

Stress-strain relations for random packings of entangling chains under triaxial compression can exhibit strain stiffening and sustain stresses several orders-of-magnitude beyond typical granular materials. X-ray tomography reveals the…

Soft Condensed Matter · Physics 2025-02-12 Eric Brown , Kevin A. Mitchell , Alice Nasto , Athanasios Athanassiadis , Heinrich M. Jaeger

In both nature and engineering, loosely packed granular materials are often compacted inside confined geometries. Here, we explore such behaviour in a quasi-two dimensional geometry, where parallel rigid walls provide the confinement. We…

Soft Condensed Matter · Physics 2015-05-29 Benjy Marks , Bjørnar Sandnes , Guillaume Dumazer , Jon Alm Eriksen , Knut Jørgen Måløy
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