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Collective motion of dislocations is governed by the obstacles they encounter. In pure crystals, dislocations form complex structures as they become jammed by their anisotropic shear stress fields. On the other hand, introducing disorder to…

Materials Science · Physics 2020-10-13 Henri Salmenjoki , Lasse Laurson , Mikko J. Alava

Understanding the interplay between concurrent length scales is a fundamental issue in many problems involving friction between sliding interfaces, from tribology to the study of earthquakes and seismic faults. On the one hand, a…

Applied Physics · Physics 2022-10-21 Gianluca Costagliola , Federico Bosia , Nicola M. Pugno

We describe a 2D spring-block model for the transition from static to kinetic friction at an elastic slider/rigid substrate interface obeying a minimalistic friction law (Amontons-Coulomb). By using realistic boundary conditions, a number…

We study the properties of strain bursts (dislocation avalanches) occurring in two-dimensional discrete dislocation dynamics models under quasistatic stress-controlled loading. Contrary to previous suggestions, the avalanche statistics…

Alloying metals with other elements is often done to improve the material strength or hardness. A key microscopic mechanism is precipitation hardening, where precipitates impede dislocation motion, but the role of such obstacles in…

Materials Science · Physics 2020-08-19 Henri Salmenjoki , Arttu Lehtinen , Lasse Laurson , Mikko J. Alava

Diffusion models generate high-dimensional data such as images by learning a process that gradually removes noise from corrupted data. Recent studies have shown that the backward dynamics of diffusion models exhibit two characteristic…

Statistical Mechanics · Physics 2026-04-14 Tomoei Takahashi , Takashi Takahashi , Yoshiyuki Kabashima

The slip system activity in microtensile tests of ferrite single crystals is compared with predictions made by the discrete slip plane model proposed by Wijnen et al. (International Journal of Solids and Structures 228, 111094, 2021). This…

Materials Science · Physics 2024-02-23 J. Wijnen , J. P. M. Hoefnagels , M. G. D. Geers , R. H. J. Peerlings

We perform the discrete-to-continuum limit passage for a microscopic model describing the time evolution of dislocations in a one dimensional setting. This answers the related open question raised by Geers et al. in [GPPS13]. The proof of…

Analysis of PDEs · Mathematics 2014-11-05 Patrick van Meurs , Adrian Muntean

Discovering relationships between materials' microstructures and mechanical properties is a key goal of materials science. Here, we outline a strategy exploiting Bayesian optimization to efficiently search the multidimensional space of…

Materials Science · Physics 2022-12-08 Mika Sarvilahti , Lasse Laurson

Progress toward a first-principles theory of plasticity and work-hardening is currently impeded by an insufficient picture of dislocation kinetics (the dynamic effect of driving forces in a given dislocation theory). This is because present…

Materials Science · Physics 2024-02-13 Joseph Pierre Anderson , Anter El-Azab

A novel model based on the Peierls framework of dislocations is developed. The new theory can deal with a dislocation spreading at more than one slip planes. As an example, we study dislocation cross-slip and constriction process of two fcc…

Materials Science · Physics 2009-11-07 Gang Lu , Vasily V. Bulatov , Nicholas Kioussis

The mechanisms of dislocation/precipitate interactions were analyzed in an Al-Cu alloy containing a homogeneous dispersion of $\theta'$ precipitates by means of discrete dislocation dynamics simulations. The simulations were carried out…

Materials Science · Physics 2020-02-28 R. Santos-Güemes , B. Bellón , G. Esteban-Manzanares , J. Segurado , L. Capolungo , J. LLorca

Ensembles of interacting drops that slide down an inclined plate show a dramatically different coarsening behavior as compared to drops on a horizontal plate: As drops of different size slide at different velocities, frequent collisions…

A long-standing goal of materials science is to understand, predict and control the evolution of microstructures in crystalline materials. Most microstructure evolution is controlled by interface motion; hence, the establishment of rigorous…

Materials Science · Physics 2022-02-14 Jian Han , David J. Srolovitz , Marco Salvalaglio

We report two-dimensional discrete dislocation dynamics simulations of combined dislocation glide and climb leading to `power-law' creep in a model aluminum crystal. The approach fully accounts for matter transport due to vacancy diffusion…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Shyam M. Keralavarma , Tahir Cagin , Tom Arsenlis , A. Amine Benzerga

Coarsening of bicontinuous microstructures is observed in a variety of systems, such as nanoporous metals and mixtures that have undergone spinodal decomposition. To better understand the morphological evolution of these structures during…

Soft Condensed Matter · Physics 2020-10-28 W. Beck Andrews , Kate L. M. Elder , Peter W. Voorhees , Katsuyo Thornton

Dipolar dislocation loops, prevalent in fcc metals, are widely recognized as controlling many physical aspects of plastic deformation. We present results of 3D dislocation dynamics simulations that shed light on the mechanisms of their…

Materials Science · Physics 2017-01-02 Can Erel , Giacomo Po , Tamer Crosby , Nasr Ghoniem

Plastic deformation of crystals is a physical phenomenon, which has immensely driven the development of human civilisation since the onset of the Chalcolithic period. This process is primarily governed by the motion of line defects, called…

Materials Science · Physics 2009-07-15 A. Dutta , M. Bhattacharya , P. Mukherjee , N. Gayathri , G. C. Das , P. Barat

The dynamics of dislocations confined to grain boundaries in a striped system are studied using electroconvection in the nematic liquid crystal N4. In electroconvection, a striped pattern of convection rolls forms for sufficiently high…

Soft Condensed Matter · Physics 2009-11-10 Carina Kamaga , Fatima Ibrahim , Michael Dennin

We have developed a set of numerical tools for the quantitative analysis of defect dynamics in quasiperiodic structures. We have applied these tools to study dislocation motion in the dynamical equation of Lifshitz and Petrich [Phys. Rev.…

Materials Science · Physics 2009-11-11 Gilad Barak , Ron Lifshitz