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We study dislocation networks in the plane using the vectorial phase-field model introduced by Ortiz and coworkers, in the limit of small lattice spacing. We show that, in a scaling regime where the total length of the dislocations is…

Analysis of PDEs · Mathematics 2020-01-24 Sergio Conti , Adriana Garroni , Stefan Müller

As a nonlocal extension of continuum mechanics, peridynamics has been widely and effectively applied in different fields where discontinuities in the field variables arise from an initially continuous body. An important component of the…

Numerical Analysis · Mathematics 2021-09-22 Xiao Xu , Marta D'Elia , John T. Foster

Predicting the strength of materials requires considering various length and time scales, striking a balance between accuracy and efficiency. Peierls stress measures material strength by evaluating dislocation resistance to plastic flow,…

Materials Science · Physics 2025-01-28 Yingjie Zhao , Hongbo Zhou , Zian Zhang , Zhenxing Bo , Baoan Sun , Minqiang Jiang , Zhiping Xu

Cellular patterns formed by self-organization of dislocations are a most conspicuous feature of dislocation microstructure evolution during plastic deformation. To elucidate the physical mechanisms underlying dislocation cell structure…

Materials Science · Physics 2020-07-20 Ronghai Wu , Michael Zaiser

Plastic deformation of micron-scale crystalline solids exhibits stress-strain curves with significant sample-to-sample variations. It is a pertinent question if this variability is purely random or to some extent predictable. Here we show,…

Disordered Systems and Neural Networks · Physics 2020-01-31 Henri Salmenjoki , Mikko J. Alava , Lasse Laurson

High-manganese twinning-induced plasticity (TWIP) steels exhibit high strain hardening, high tensile strength, and high ductility, which make them attractive for structural applications. At low tensile strain rates, TWIP steels are prone to…

Materials Science · Physics 2023-04-27 Heena Khanchandani , Dirk Ponge , Stefan Zaefferer , Baptiste Gault

Composite materials often exhibit mechanical anisotropy owing to the material properties or geometrical configurations of the microstructure. This makes their inverse design a two-fold problem. First, we must learn the type and orientation…

Computational Engineering, Finance, and Science · Computer Science 2024-12-19 Asghar A. Jadoon , Karl A. Kalina , Manuel K. Rausch , Reese Jones , Jan N. Fuhg

In the field of materials science, exploring the relationship between composition, microstructure, and properties has long been a critical research focus. The mechanical performance of solid-solution Mg-Gd alloys is significantly influenced…

Machine Learning · Computer Science 2024-10-29 Lu Wang , Hongchan Chen , Bing Wang , Qian Li , Qun Luo , Yuexing Han

To study the nanoscopic interaction between edge dislocations and a phase boundary within a two-phase microstructure the effect of the phase contrast on the internal stress field due to the dislocations needs to be taken into account. For…

Materials Science · Physics 2019-09-04 F. Bormann , R. H. J. Peerlings , M. G. D. Geers , B. Svendsen

Grain boundary roughness can affect electronic and mechanical properties of two-dimensional materials. This roughness depends crucially on the growth process by which the two-dimensional material is formed. To investigate the key mechanisms…

Materials Science · Physics 2022-04-06 Fabio D. A. Aarão Reis , Bastien Marguet , Olivier Pierre-Louis

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

Dislocation slip is a general deformation mode and governs the strength of metals. Via discrete dislocation dynamics and molecular dynamics simulations, we investigate the strain rate and dislocation density dependence of the strength of…

Materials Science · Physics 2021-04-14 Haidong Fan , Jaafar A. El-Awady , Qingyuan Wang , Dierk Raabe , Michael Zaiser

Rock weathering is a common phenomenon in most engineering applications, such as underground storage or geothermal energy. This work offers a discrete element modelization of the problem considering cohesive granular material and debonding…

Materials Science · Physics 2025-03-31 Alexandre Sac-Morane , Hadrien Rattez , Manolis Veveakis

This study presents a physically consistent displacement-driven reformulation of the concept of action-at-a-distance, which is at the foundation of nonlocal elasticity. In contrast to existing approaches that adopts an integral…

Numerical Analysis · Mathematics 2021-11-03 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

A field theory is presented for predicting damage and fracture in quasi brittle materials incorporating effects of irreversible (plastic) deformation as well as elastic moduli that soften with damage. The new observation made here is that…

Materials Science · Physics 2026-03-17 Hayden Bromley , Robert Lipton

This paper provides a new avenue for exploiting deep neural networks to improve physics-based simulation. Specifically, we integrate the classic Lagrangian mechanics with a deep autoencoder to accelerate elastic simulation of deformable…

Machine Learning · Computer Science 2021-02-23 Siyuan Shen , Yang Yin , Tianjia Shao , He Wang , Chenfanfu Jiang , Lei Lan , Kun Zhou

Gravity inversion is the problem of estimating subsurface density distributions from observed gravitational field data. We consider the two-dimensional (2D) case, in which recovering density models from one-dimensional (1D) measurements…

An original thermodynamically consistent large strains-based multiphase phase-field (PF) approach of Ginzburg-Landau type is developed for studying the grain boundary (GB)-induced martensitic transformations (MTs) in polycrystalline…

Materials Science · Physics 2022-06-24 Anup Basak

Geometrically frustrated assembly has emerged as an attractive paradigm for understanding and engineering assemblies with self-limiting, finite equilibrium dimensions. We propose and study a novel 2D particle based on a so-called "warped…

Soft Condensed Matter · Physics 2023-08-08 Isaac R. Spivack , Douglas M. Hall , Gregory M. Grason

Plastic deformation in microscale differs from the macroscopic plasticity in two respects: (i) the flow stress of small samples depends on their size (ii) the scatter of plasticity increases significantly. In this work we focus on the…

Materials Science · Physics 2015-03-10 Olga Kapetanou , Vasilis Koutsos , Efstathios Theotokoglou , Daniel Weygand , Michael Zaiser
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