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Related papers: Toy nanoindentation model and incipient plasticity

200 papers

Polydomain liquid crystalline (nematic) elastomers have highly unusual mechanical properties, dominated by the dramatically non-linear stress-strain response that reflects stress-induced evolution of domain patterns. Here, we study the…

Soft Condensed Matter · Physics 2023-05-02 Ameneh Maghsoodi , Mohand O. Saed , Eugene M. Terentjev , Kaushik Bhattacharya

Using experiments with single particle resolution and computer simulations we study the collective behaviour of multiple vacancies injected into two-dimensional crystals. We find that the defects assemble into linear strings that propagate…

Statistical Mechanics · Physics 2013-12-18 Wolfgang Lechner , David Polster , Georg Maret , Peter Keim , Christoph Dellago

In order to predict the long-term effects of irradiation on the material properties of tungsten, a continuum approach to simulating the interactions of dislocation loops, which arise from radiation damage, is proposed. Continuum models of…

Materials Science · Physics 2026-04-20 Joseph Duque Lopez , Sergei Dudarev , James Kermode , Thomas Hudson

The elastoplastic behavior of a two-phase stainless steel alloy is explored at the crystal scale for five levels of stress biaxiality. The crystal lattice (elastic) strains were measured with neutron diffraction using tubular samples…

Materials Science · Physics 2017-07-24 Andrew C. Poshadel , Michael Gharghouri , Paul R. Dawson

We consider a variational anti-plane lattice model and demonstrate that at zero temperature, there exist locally stable states containing screw dislocations, given conditions on the distance between the dislocations, and on the distance…

Analysis of PDEs · Mathematics 2016-07-20 Thomas Hudson , Christoph Ortner

This paper presents a comprehensive computational framework for investigating thermo-elastic fracture in transversely isotropic materials, where classical linear elasticity fails to predict physically realistic behavior near stress…

Numerical Analysis · Mathematics 2025-10-08 Saugata Ghosh , Dambaru Bhatta , S. M. Mallikarjunaiah

Metals exhibit an upturn in strength at strain rates of approximately 1000 s-1 - 3000 s-1, governed by rapid dislocation multiplication, interactions and storage. This phenomenon is strongly influenced by the initial dislocation density…

Dislocations are fundamental crystal defects whose stress fields govern a wide range of material properties. The analytical form of the stress tensor around single dislocation was established by elasticity theory more than 80 years ago and…

Materials Science · Physics 2026-01-05 Takeyuki Tsuji , Shunta Harada , Tokuyuki Teraji

Within the continuum dislocation theory the asymptotic analysis of the plane strain crack problem for a single crystal having only one active slip system on each half-plane is provided. The results of this asymptotic analysis show that the…

Materials Science · Physics 2015-08-17 Khanh Chau Le , Van Nha Tran

Linear defects such as dislocations and disclinations in ordered materials attract foreign particles since they replace strong elastic distortions at the defect cores. In this work, we explore the behavior of isotropic droplets nucleating…

Whereas disclination defects are energetically prohibitive in two-dimensional flat crystals, their existence is necessary in crystals with spherical topology, such as viral capsids, colloidosomes or fullerenes. Such a geometrical…

Soft Condensed Matter · Physics 2020-07-01 Ireth García-Aguilar , Piermarco Fonda , Luca Giomi

The localized loading of an elastic sheet floating on a liquid bath occurs at scales from a frog sitting on a lily pad to a volcano supported by the Earth's tectonic plates. The load is supported by a combination of the stresses within the…

Soft Condensed Matter · Physics 2017-11-01 Finn Box , Dominic Vella , Robert Style , Jerome A. Neufeld

The essential role of long range elastic interactions in recrystallization is demonstrated using a simple analytical model: pileup rearrangements following absorption of leading dislocations by a dislocation-free embryo provides an…

Materials Science · Physics 2010-07-29 Paul Duval , Francois Louchet , Jerome Weiss , Maurine Montagnat

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…

We study avenues to shape multistability and shape-morphing in flexible crystalline membranes of cylindrical topology, enabled by glide mobility of dislocations. Using computational modeling, we obtain states of mechanical equilibrium…

Soft Condensed Matter · Physics 2022-03-23 Andrei Zakharov , Daniel A. Beller

Deformation band patterning in single crystals is investigated using a finite strain crystal viscoplasticity model based on the evolution of dislocation densities. In the presence of strong latent hardening and weak rate dependence, the…

Materials Science · Physics 2025-07-02 Jean-Michel Scherer

As the need for miniaturized structural and functional materials has increased,the need for precise materials characterizaton has also expanded. Nanoindentation is a popular method that can be used to measure material mechanical behavior…

Uniqueness of solutions in the linear theory of non-singular dislocations, studied as a special case of plasticity theory, is examined. The status of the classical, singular Volterra dislocation problem as a limit of plasticity problems is…

Classical Physics · Physics 2019-07-24 Amit Acharya , Robin J. Knops , Jeyabal Sivaloganathan

The discrete modeling of a large class of mechanical structures can be based on a stick-and-spring concept. We here present a stick-and-spring theory with potential application to the statics and the dynamics of such nanostructures as…

Materials Science · Physics 2013-07-16 Antonino Favata , Andrea Micheletti , Paolo Podio-Guidugli

Plastically deforming crystals exhibit scale-free fluctuations that are similar to those observed in driven disordered elastic systems close to depinning, but the nature of the yielding critical point is still debated. Here, we study the…

Statistical Mechanics · Physics 2018-01-03 Markus Ovaska , Arttu Lehtinen , Mikko J. Alava , Lasse Laurson , Stefano Zapperi