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We investigate the weakening of elastic materials through randomly distributed circles and cracks numerically and compare the results to predictions from homogenization theories. We find a good agreement for the case of randomly oriented…

Materials Science · Physics 2015-05-13 Robert Spatschek , Clemens Gugenberger , Efim Brener

Deformations of conventional solids are described via elasticity, a classical field theory whose form is constrained by translational and rotational symmetries. However, flexible metamaterials often contain an additional approximate…

Soft Condensed Matter · Physics 2022-02-02 Michael Czajkowski , Corentin Coulais , Martin van Hecke , D. Zeb Rocklin

The competition between deformation twinning and dislocation slip underpins the evolution of mesoscale plasticity in face-centered cubic materials. While competition between these mechanisms is known to be related to the critical features…

Materials Science · Physics 2025-09-18 Ritesh Jagatramka , Matthew Daly

Dislocation-mediated plastic deformation in ceramic materials has sparked renewed research interest due to the technological potential of dislocations. Despite the long research history of dislocations as one-dimensional lattice defects in…

Internal activity can fundamentally reshape the mechanical behavior of solids, yet its role in softening and failure remains incompletely understood. In this study, we investigate spontaneous deformations in activated solids via non-affine…

Soft Condensed Matter · Physics 2026-03-19 Parswa Nath , Debankur Das , Surajit Sengupta , Debasish Chaudhuri

Metals owe their unique mechanical properties to how defects emerge and propagate within their crystal structure under stress. However, the mechanisms leading from the early emerging (local) defects to the amplification of dislocations…

Materials Science · Physics 2025-02-14 Matteo Cioni , Mattia Perrone , Massimo Delle Piane , Giovanni Maria Pavan

This paper reviews the current state-of-the-art in the simulation of the mechanical behavior of polycrystalline materials by means of computational homogenization. The key ingredients of this modelling strategy are presented in detail…

Materials Science · Physics 2018-11-22 J. Segurado , R. A. Lebensohn , J. LLorca

A clear understanding of the dynamic behavior of metals is critical for developing superior structural materials as well as for improving material processing techniques such as cold spray and shot peening. Using a high velocity (from 120…

Materials Science · Physics 2023-02-22 Jizhe Cai , Claire Griesbach , Savannah G. Ahnen , Ramathasan Thevamaran

We analyze the surface morphology of metals after plastic deformation over a range of scales from 10 nm to 2 mm, using a combination of atomic force microscopy and scanning white-light interferometry. We demonstrate that an initially smooth…

Statistical Mechanics · Physics 2009-11-10 Michael Zaiser , Frederic Maqdani , Vasileios Koutsos , Elias Aifantis

There is a growing mechanics literature concerning the macroscopic properties of mechanism-based mechanical metamaterials. This amounts mathematically to a homogenization problem involving nonlinear elasticity. A key goal is to identify the…

Analysis of PDEs · Mathematics 2025-11-10 Xuenan Li , Robert V. Kohn

We propose a framework within which a robust mechanical definition of precursors to plastic instabilities, often termed `soft-spots', naturally emerges. They are shown to be collective displacements (modes) $\hat{z}_0$ that correspond to…

Soft Condensed Matter · Physics 2016-02-03 Luka Gartner , Edan Lerner

Amorphous materials of homogeneous structures usually suffer from nonuniform deformation under shear, which can develop into shear localization and eventually destructive shear band. One approach to tackle this issue is to introduce an…

Materials Science · Physics 2019-02-01 Guo-Jie J. Gao , Yun-Jiang Wang , Shigenobu Ogata

We find that the hierarchical organization of the potential energy landscape in a model supercooled liquid can be related to a change in the spatial distribution of soft normal modes. For groups of nearby minima, between which fast…

Disordered Systems and Neural Networks · Physics 2014-03-17 Majid Mosayebi , Patrick Ilg , Asaph Widmer-Cooper , Emanuela Del Gado

Linear complexions are defect phases that form in the presence of dislocations and thus are promising for the direct control of plasticity. In this study, atomistic simulations are used to model the effect of linear complexions on…

Materials Science · Physics 2023-03-23 Divya Singh , Vladyslav Turlo , Daniel S. Gianola , Timothy J. Rupert

Metals are important structural materials for transport and the built environment. Low carbon steels can fail through strain localisation due to the role of interstitial solute atoms (such as carbon and nitrogen) interacting with mobile…

Materials Science · Physics 2019-01-24 James L R Hickey , S Rouland , T B Britton

We study the structural origin of the Bauschinger effect by accessing numerically the local plastic thresholds in the steady state flow of a two-dimensional model glass under athermal quasistatic deformation. More specifically, we compute…

Materials Science · Physics 2020-05-27 Sylvain Patinet , Armand Barbot , Matthias Lerbinger , Damien Vandembroucq , Anaël Lemaître

A mesoscopic model for shear plasticity of amorphous materials in two dimensions is introduced, and studied through numerical simulations in order to elucidate the macroscopic (large scale) mechanical behavior. Plastic deformation is…

Soft Condensed Matter · Physics 2012-05-17 Mehdi Talamali , Viljo Petäjä , Damien Vandembroucq , Stéphane Roux

Elastic deformation of rigid materials with soft coatings (stratified materials) due to lubrication forces can also alter the interpretation of dynamic surface forces measurements and prevent contact formation between approaching surfaces.…

Soft Condensed Matter · Physics 2017-08-18 Yumo Wang , Matthew R. Tan , Joelle Frechette

A mathematical model of plastic deformation in face-centered cubic (FCC) materials based on a balance model taking into account fundamental properties of deformation defects of a crystal lattice was developed. This model is based on a…

Materials Science · Physics 2013-05-07 Mikhail Semenov , Svetlana Kolupaeva

A polycrystalline solid is modelled as an ensemble of random irregular polyhedra filling the entire space occupied by the solid body, leaving no voids or flaws between them. Adjacent grains can slide with a relative velocity proportional to…

Materials Science · Physics 2025-11-03 Miguel Lagos