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We report evidence of Re and Mo segregation (up to 2.6 at.% and 1 at.%) along with Cr and Co to the dislocations inside of {\gamma}' precipitates in a second generation Ni-based single crystal superalloy, after creep deformation at…

Rapid solidification in Additively Manufactured (AM) metallic materials results in the development of significant microscale internal stresses, which are attributed to the printing induced dislocation substructures. The resulting backstress…

Materials Science · Physics 2024-05-29 Namit Pai , Indradev Samajdar , Anirban Patra

We present a mesoscale description of deformations and defects in thin, flexible sheets with crystalline order, tackling the interplay between in-plane elasticity, out-of-plane deformation, as well as dislocation nucleation and motion. Our…

Materials Science · Physics 2025-02-26 Lucas Benoit--Maréchal , Ingo Nitschke , Axel Voigt , Marco Salvalaglio

The interaction of dislocations with phase boundaries is a complex phenomenon, that is far from being fully understood. A 2D Peierls-Nabarro finite element (PN-FE) model for studying edge dislocation transmission across fully coherent and…

Materials Science · Physics 2019-10-02 F. Bormann , R. H. J. Peerlings , M. G. D. Geers

Vacancy swelling of quasicrystals under irradiation is considered. In quasicrystals, the evolution of dislocations is accompanied by the formation of phasons which are localized topological defects of the vacancy and interstitial types. At…

Materials Science · Physics 2021-09-13 Galina N. Lavrova , Anatoliy A. Turkin , Alexander S. Bakai

In this work the influence of $5|7$ dislocations in multiplayer graphene stacks (up to six layers) is examined. The study is conducted through a recently developed Phase Field Crystal (PFC) model for multilayer systems incorporating…

Materials Science · Physics 2024-10-04 K. R. Elder , Zhi-Feng Huang , T. Ala-Nissila

This work begins by applying peridynamics and phase-field modeling to predict 1-d interface motion with inertia in an elastic solid with a non-monotone stress-strain response. In classical nonlinear elasticity, it is known that subsonic…

Analysis of PDEs · Mathematics 2021-11-24 Janel Chua , Vaibhav Agrawal , Timothy Breitzman , George Gazonas , Kaushik Dayal

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

Materials Science · Physics 2011-07-28 Daniel A. Cogswell , W. Craig Carter

Knowledge of the underlying mechanisms of multiphase flow dynamics in porous media is crucial for optimizing subsurface engineering applications like geological carbon sequestration. However, studying the micro-mechanisms of multiphase…

Fluid Dynamics · Physics 2025-08-01 Quanwei Dai , Kang Duan , Chung-Yee Kwok

Recently, the phase field method has been increasingly used for brittle fractures in soft materials like polymers, elastomers, and biological tissues. When considering finite deformations to account for the highly deformable nature of soft…

Materials Science · Physics 2024-08-22 S. Mohammad Mousavi , Ida Ang , Jason Mulderrig , Nikolaos Bouklas

We consider the gradient flow evolution of a phase-field model for crystal dislocations in a single slip system in the presence of forest dislocations. The model consists of a Peierls-Nabarro type energy penalizing non-integer slip and…

Analysis of PDEs · Mathematics 2018-11-14 Patrick W. Dondl , Matthias W. Kurzke , Stephan Wojtowytsch

A continuum plasticity model for metals is presented from considerations of non-equilibrium thermodynamics. Of specific interest is the application of a fluctuation relation that subsumes the second law of thermodynamics en route to…

Materials Science · Physics 2016-03-31 S Roy Chowdhury , D Roy , J N Reddy

Dislocations are the main carriers of the permanent deformation of crystals. For simulations of engineering applications, continuum models where material microstructures are represented by continuous density distributions of dislocations…

Materials Science · Physics 2018-03-02 Xiaohua Niu , Yichao Zhu , Shuyang Dai , Yang Xiang

We study the coupling of a viscoelastic deformation governed by a Kelvin-Voigt model at equilibrium, based on the concept of second-grade nonsimple materials, with a plastic deformation due to volumetric swelling, described via a…

Analysis of PDEs · Mathematics 2024-09-12 Thomas Eiter , Leonie Schmeller

Cracking of rocks and rock-like materials exhibits a rich variety of patterns where tensile (mode I) and shear (mode II) fractures are often interwoven. These mixed-mode fractures are usually cohesive (quasi-brittle) and frictional.…

Geophysics · Physics 2021-01-12 Fan Fei , Jinhyun Choo

We investigate two-dimensional (2d) melting in the presence of a one-dimensional (1d) periodic potential as, for example, realized in recent experiments on 2d colloids subjected to two interfering laser beams. The topology of the phase…

Soft Condensed Matter · Physics 2009-10-31 Leo Radzihovsky , Erwin Frey , David R. Nelson

Modeling dislocations is an inherently multiscale problem as one needs to simultaneously describe the high stress fields near the dislocation cores, which depend on atomistic length scales, and a surface boundary value problem which depends…

Soft Condensed Matter · Physics 2023-06-12 Jonas Ritter , Michael Zaiser

Voids can limit the life of engineering components. This motivates us to understand local plasticity around voids in a nickel base superalloy combining experiments and simulations. Single crystal samples were deformed in tension with…

Materials Science · Physics 2021-04-19 Yi Guo , Cui Zong , Ben Britton

Conventional discrete-to-continuum approaches have seen their limitation in describing the collective behaviour of the multi-polar configurations of dislocations, which are widely observed in crystalline materials. The reason is that…

Materials Science · Physics 2016-04-12 Stephen Jonathan Chapman , Yang Xiang , Yichao Zhu

Precipitation-strengthened alloys, such as Ni-base, Co-base and Fe-base superalloys, show the development of dendrite-like precipitates in the solid state during aging at near-$\gamma^{\prime}$ solvus temperatures. These features arise out…

Materials Science · Physics 2024-01-25 Tushar Jogi , Saurav Shenoy , R. Sankarasubramanian , Abhik Choudhury , Saswata Bhattacharyya
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