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A continuum model of the two dimensional low angle grain boundary motion and the dislocation structure evolution on the grain boundaries has been developed in Ref. [48]. The model is based on the motion and reaction of the constituent…

Materials Science · Physics 2020-01-14 Luchan Zhang , Yang Xiang

Folding and aggregation of proteins, the interaction between proteins and membranes, as well as the adsorption of organic soft matter to inorganic solid substrates belong to the most interesting challenges in understanding structure and…

Soft Condensed Matter · Physics 2007-12-06 Michael Bachmann , Wolfhard Janke

This study proposes a new full-field approach for modeling grain boundary pinning by second phase particles in two-dimensional polycrystals. These particles are of great importance during thermomechanical treatments, as they produce…

Computational Engineering, Finance, and Science · Computer Science 2025-01-22 Sebastian Florez , Marc Bernacki

We present a simple mesoscale field theory inspired by rate-independent plasticity that reflects the symmetry of the deformation process. We parameterize the plastic deformation by a scalar field which evolves with loading. The evolution…

Condensed Matter · Physics 2009-09-29 J. P. Sethna , M. Rauscher , J. -P. Bouchaud

We present a combined phase field and cohesive zone formulation for hydrogen embrittlement that resolves the polycrystalline microstructure of metals. Unlike previous studies, our deformation-diffusion-fracture modelling framework accounts…

Materials Science · Physics 2022-07-18 A. Valverde-González , E. Martínez-Pañeda , A. Quintanas-Corominas , J. Reinoso , M. Paggi

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 discrete model and the regular solution approximation are applied to describe the effect of grain boundary motion on grain boundary phase transformations in a binary alloy. The model predicts all thermodynamic properties of the grain…

Materials Science · Physics 2019-05-13 Y. Mishin

The high-pressure compaction of three dimensional granular packings is simulated using a bonded particle model (BPM) to capture linear elastic deformation. In the model, grains are represented by a collection of point particles connected by…

Soft Condensed Matter · Physics 2023-10-19 Joel T. Clemmer , Joseph M. Monti , Jeremy B. Lechman

Micromagnetic simulations based on the stochastic Landau-Lifshitz-Gilbert equation are used to calculate dynamic magnetic hysteresis loops relevant to magnetic hyperthermia. With the goal to effectively simulate room-temperature loops for…

Materials Science · Physics 2021-11-09 Razyeh Behbahani , Martin L. Plumer , Ivan Saika-Voivod

Understanding and controlling the properties and dynamics of topological defects is a lasting challenge in the study of two-dimensional materials, and is crucial to achieve high-quality films required for technological applications. Here…

Materials Science · Physics 2017-06-28 Doaa Taha , S. K. Mkhonta , K. R. Elder , Zhi-Feng Huang

We present a method to include the evolution of the grain size and grain opacity $\kappa_\mathrm{gr}$ in the equations describing the structure of protoplanetary atmospheres. The key assumption of this method is that a single grain size…

Earth and Planetary Astrophysics · Physics 2015-06-22 Chris W. Ormel

Using a phase-field model, we study the surface diffusion-controlled grooving of a moving grain boundary under the influence of an external magnetic field in thin films of a nonmagnetic material. The driving force for the grain boundary…

Mesoscale and Nanoscale Physics · Physics 2024-08-27 Soumya Bandyopadhyay , Somnath Bhowmick , Rajdip Mukherjee

Grain boundary sliding is typically associated with high temperature deformation in engineering alloys. Here, we examine grain boundary sliding at room temperature in oxygen-free high-conductivity copper under quasi-static tensile testing.…

Materials Science · Physics 2026-04-30 Benjamin Poole , David Lunt , Luke Hewitt , Chris Hardie

Simulation of subgrain growth during recovery is carried out using two-dimensional discrete dislocation dynamics on a hexagonal crystal lattice having three symmetric slip planes. To account for elevated temperature (i) dislocation climb…

Materials Science · Physics 2011-07-27 Péter Dusán Ispánovity , István Groma , Wolfgang Hoffelner , Maria Samaras

An energy-based modeling framework for the nonlinear dynamics of spatial Cosserat rods undergoing large displacements and rotations is proposed. The mixed formulation features independent displacement, velocity and stress variables and is…

Numerical Analysis · Mathematics 2026-05-11 Philipp L. Kinon , Simon R. Eugster , Peter Betsch

In order to control the grain structure of multi-crystalline (mc) silicon during directional solidification, the development process of grain boundaries (GBs) with respect to the temperature gradient should be understood. A phase-field…

Materials Science · Physics 2022-06-13 Chuanqi Zhu , Yuichiro Koizumi , Chunwen Guo

We develop the mechanics of combined bending and twisting deformation of a one-dimensional filamentous structure with protruding stiff fish-scale-like plates embedded at an angle on the surface. We develop Cosserat kinematic formulation…

Soft Condensed Matter · Physics 2022-01-19 Sanjay Dharmavaram , Hossein Ebrahimi , Ranajay Ghosh

The stranglehold of low temperatures on fascinating quantum phenomena in one-dimensional quantum magnets has been challenged recently by the discovery of anomalous spin transport at high temperatures. Whereas both regimes have been…

Strongly Correlated Electrons · Physics 2021-09-01 Maxime Dupont , Nicholas E. Sherman , Joel E. Moore

We present a high-fidelity three dimensional computational framework for simulating the bulk mechanical behavior of granular aggregates composed of deformable brittle grains. Departing from classical discrete element methods (DEM), our…

Soft Condensed Matter · Physics 2025-07-16 Debdeep Bhattacharya , Davood Damircheli , Robert P. Lipton

We investigate the effect of fragmentation on the homogeneous free cooling of inelastic hard spheres, using Boltzmann kinetic theory and Direct Monte Carlo simulations. We analyze in detail a model where dissipative collisions may…

Statistical Mechanics · Physics 2015-06-24 Ignacio Pagonabarraga , Emmanuel Trizac