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In this study, a coarse-graining framework for discrete models is formulated on the basis of multiscale homogenization. The discrete model considered in this paper is the Lattice Discrete Particle Model (LDPM), which simulates concrete at…

Materials Science · Physics 2018-04-24 Erol Lale , Roozbeh Rezakhani , Mohammed Alnaggar , Gianluca Cusatis

The primary objective of this work is to develop coarse-graining schemes for stochastic many-body microscopic models and quantify their effectiveness in terms of a priori and a posteriori error analysis. In this paper we focus on stochastic…

Numerical Analysis · Mathematics 2007-05-23 Markos A. Katsoulakis , Petr Plechac , Luc Rey-Bellet , Dimitrios K. Tsagkarogiannis

Deterministic computational modeling of laser powder bed fusion (LPBF) process fails to capture irregularities and roughness of the scan track, unless expensive powder-scale analysis is used. In this work we developed a stochastic…

Computational Engineering, Finance, and Science · Computer Science 2022-08-08 Yangfan Li , Ye Lu , Abdullah Al Amin , Wing Kam Liu

In this work, a numerical simulation framework is presented based on the Phase Field Method that is able to capture the evolution of heterogeneous metallic microstructures during solidification. The involved physics can prove especially…

Materials Science · Physics 2021-10-22 Patrick Zimbrod , Johannes Schilp

The study of grain boundary phase transitions is an emerging field until recently dominated by experiments. The major bottleneck in exploration of this phenomenon with atomistic modeling has been the lack of a robust computational tool that…

Materials Science · Physics 2018-02-21 Qiang Zhu , Amit Samanta , Bingxi Li , Robert E. Rudd , Timofey Frolov

Accurate modeling of polycrystalline microstructure evolution under strong crystallographic heterogeneities remains a major challenge for full-field numerical methods at the mesoscopic scale. In this work, we present a high-fidelity…

Materials Science · Physics 2026-03-13 Tianchi Li , Marc Bernacki

Obtaining microscopic structure-property relationships for grain boundaries are challenging because of the complex atomic structures that underlie their behavior. This has led to recent efforts to obtain these relationships with machine…

The large time and length scales and, not least, the vast number of particles involved in industrial-scale simulations inflate the computational costs of the Discrete Element Method (DEM) excessively. Coarse grain models can help to lower…

Computational Physics · Physics 2017-05-11 Daniel Queteschiner , Thomas Lichtenegger , Simon Schneiderbauer , Stefan Pirker

Additive manufacturing (AM) processes produce parts with improved physical, chemical, and mechanical properties compared to conventional manufacturing processes. In AM processes, intricate part geometries are produced from multicomponent…

Materials Science · Physics 2018-01-04 Supriyo Ghosh

We establish, through coarse-grained computation, a connection between traditional, continuum numerical algorithms (initial value problems as well as fixed point algorithms) and atomistic simulations of the Larson model of micelle…

Soft Condensed Matter · Physics 2009-11-10 Dmitry I. Kopelevich , Athanassios Z. Panagiotopoulos , Ioannis G. Kevrekidis

A simple analytical model of intergranular normal stresses is proposed for a general elastic polycrystalline material with arbitrary shaped and randomly oriented grains under uniform loading. The model provides algebraic expressions for the…

Materials Science · Physics 2023-04-21 Samir El Shawish , Timon Mede

Granular materials are involved in most industrial and environmental processes, as well as many civil engineering applications. Although significant advances have been made in understanding the statics and dynamics of cohesionless grains…

Soft Condensed Matter · Physics 2025-11-21 Ram Sudhir Sharma , Alban Sauret

We briefly review the state-of-the-art in phase-field modeling of microstructure evolution. The focus is placed on recent applications of phase-field simulations of solid-state microstructure evolution and solidification that have been…

Materials Science · Physics 2021-10-14 D. Tourret , H. Liu , J. LLorca

Many physical systems can be modeled as large sets of domains "glued" together along boundaries - biological cells meet along cell membranes, soap bubbles meet along thin films, countries meet along geopolitical boundaries, and metallic…

Materials Science · Physics 2015-12-30 Jeremy K. Mason , Emanuel A. Lazar , Robert D. MacPherson , David J. Srolovitz

Progress in the emerging fields of atomic and close-to-atomic scale manufacturing is underpinned by enhanced precision and optimization of laser-controlled nanostructuring. Understanding thin films' crystallographic orientations and…

Materials Science · Physics 2024-12-24 Hariprasath Ganesan , Stefan Sandfeld

Microstructural evolution in structural materials is known to occur in response to mechanical loading and can often accommodate substantial plastic deformation through the coupled motion of grain boundaries (GBs). This can produce desirable…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Daniel Bugas , Brandon Runnels

We propose Neural Cellular Automata (NCA) to simulate the microstructure development during the solidification process in metals. Based on convolutional neural networks, NCA can learn essential solidification features, such as preferred…

Materials Science · Physics 2023-09-08 Jian Tang , Siddhant Kumar , Laura De Lorenzis , Ehsan Hosseini

Mean-field models have the ability to predict grain size distribution evolution occurring through thermomechanical solicitations. This article focuses on a comparison of mean-field models under grain growth conditions. Different…

Materials Science · Physics 2023-10-31 Marion Roth , Baptiste Flipon , Nathalie Bozzolo , Marc Bernacki

The development of novel materials in recent years has been accelerated greatly by the use of computational modelling techniques aimed at elucidating the complex physics controlling microstructure formation in materials, the properties of…

Materials Science · Physics 2025-11-14 Damien Pinto , Michael Greenwood , Nikolas Provatas

Partitioned cellular automata are known to be an useful tool to simulate linear and nonlinear problems in physics, specially because they allow for a straightforward way to define conserved quantities and reversible dynamics. Here we show…

Cellular Automata and Lattice Gases · Physics 2020-12-17 Pedro C. S. Costa , Fernando de Melo