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Related papers: Grain boundary stresses in elastic materials

200 papers

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 grain boundary (GB) energy has a profound influence on the grain growth and properties of polycrystalline metals. Here, we show that the energy of a GB, normalized by the bulk cohesive energy, can be described purely by four geometric…

Materials Science · Physics 2022-01-31 Weike Ye , Hui Zheng , Chi Chen , Shyue Ping Ong

The plastic events occurring during the process of intergranular fracture in metals is still not well understood due to the complexity of grain boundary (GB) structures and their interactions with crack-tip dislocation plasticity. By…

Materials Science · Physics 2024-10-29 Kai Zhao , Yu Ding , Haiyang Yu , Jianying He , Zhiliang Zhang

Anisotropic core-shell model of a nano-grained polycrystal is extended to estimate the effective elastic stiffness of several metals of hexagonal crystal lattice symmetry. In the approach the bulk nanocrystalline material is described as a…

Computational Physics · Physics 2020-09-22 Katarzyna Kowalczyk-Gajewska , Marcin Maździarz

Recent works have shown that in contrast to classical linear elastic fracture mechanics, endowing crack fronts in a brittle Green-elastic solid with Steigmann-Ogden surface elasticity yields a model that predicts bounded stresses and…

Mathematical Physics · Physics 2024-06-11 Casey Rodriguez

Grain structure plays a key role in the mechanical properties of alloy materials. Engineering the grain structure requires a comprehensive understanding of the evolution of grain boundaries (GBs) when a material is subjected to various…

Materials Science · Physics 2021-10-26 Junyan He , Nikhil Chandra Admal

An expression for the stress tensor near an external boundary of a discrete mechanical system is derived explicitly in terms of the constituents' degrees of freedom and interaction forces. Starting point is the exact and general coarse…

Soft Condensed Matter · Physics 2011-08-26 Thomas Weinhart , Anthony R. Thornton , Stefan Luding , Onno Bokhove

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

Many technologically useful materials are polycrystals composed of small monocrystalline grains that are separated by grain boundaries of crystallites with different lattice orientations. The energetics and connectivities of the grain…

Analysis of PDEs · Mathematics 2021-06-29 Yekaterina Epshteyn , Chun Liu , Masashi Mizuno

A numerical investigation of grain-boundary grooving by means of a Level Set method is carried out. An idealized polygranular interconnect which consists of grains separated by parallel grain boundaries aligned normal to the average…

Materials Science · Physics 2009-10-31 M. Khenner , A. Averbuch , M. Israeli , M. Nathan

We investigate the formation of stress hotspots in polycrystalline materials under uniaxial tensile deformation by integrating full field crystal plasticity based deformation models and machine learning techniques to gain data driven…

Materials Science · Physics 2018-06-15 Ankita Mangal , Elizabeth A. Holm

A detailed theoretical and numerical investigation of the infinitesimal single-crystal gradient plasticity and grain-boundary theory of Gurtin (2008) "A theory of grain boundaries that accounts automatically for grain misorientation and…

Materials Science · Physics 2015-05-08 D. Gottschalk , A. McBride , B. D. Reddy , A. Javili , P. Wriggers , C. B. Hirschberger

The macroscopic behavior of polycrystalline materials is influenced by the local variation of properties caused by the presence of impurities and defects. The effect of these impurities at the atomic scale can either embrittle or strengthen…

Materials Science · Physics 2014-01-23 M. Rajagopalan , M. A. Tschopp , K. N. Solanki

Amorphous grain boundary complexions lack long-range crystalline order but are not featureless, as distinct gradients in structural short-range order have been reported through their thickness. In this work, we test the hypothesis that the…

Materials Science · Physics 2023-09-19 Pulkit Garg , Timothy J. Rupert

Bounds are obtained on the volume fraction in a two-dimensional body containing two elastically isotropic materials with known bulk and shear moduli. These bounds use information about the average stress and strain fields, energy,…

Analysis of PDEs · Mathematics 2015-05-30 Graeme Walter Milton , Loc Hoang Nguyen

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

Grain boundary plane distributions are widely used to infer the mechanisms governing grain boundary formation in polycrystalline materials. We show that such interpretations are inherently ambiguous. Using a unified eight-parameter boundary…

Materials Science · Physics 2026-04-21 Ralf Hielscher , Rüdiger Kilian , Erik Wünsche , Katharina Tinka Marquardt

Characterizing the degeneracy of local stress states is a central challenge in obtaining the complete statistical mechanics of disordered media. Here, we introduce a minimal force-balance model for isolated granular clusters to probe the…

Soft Condensed Matter · Physics 2025-06-10 Aashish K. Gupta , Christopher Ness , Sina Haeri

We investigate the diffusion of a grain boundary in a crystalline material. We consider in particular the case of a regularly spaced low-angle grain boundary schematized as an array of dislocations that interact with each other through…

Statistical Mechanics · Physics 2007-12-22 F. Leoni , S. Zapperi

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