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In this research, atomistic molecular dynamics simulations are combined with mesoscopic phase-field computational methods in order to investigate phase-transformation in polycrystalline Aluminum microstructure. In fact, microstructural…

Materials Science · Physics 2019-07-03 Mehrdad Yousefi

Modeling of cancellous bone has important applications in the detection and treatment of fatigue fractures and diseases like osteoporosis. In this paper, we present a fully coupled multiscale approach considering mechanical, electrical and…

Computational Engineering, Finance, and Science · Computer Science 2021-06-14 Mischa Blaszczyk , Klaus Hackl

In this paper, we discuss a general multiscale model reduction framework based on multiscale finite element methods. We give a brief overview of related multiscale methods. Due to page limitations, the overview focuses on a few related…

Numerical Analysis · Mathematics 2016-06-22 Eric Chung , Yalchin Efendiev , Thomas Y. Hou

Sintering, as a thermal process at elevated temperature below the melting point, is widely used to bond contacting particles into engineering products such as ceramics, metals, polymers, and cemented carbides. Modelling and simulation as…

Materials Science · Physics 2023-02-13 Min Yi , Wenxuan Wang , Ming Xue , Qihua Gong , Bai-Xiang Xu

One of the primary challenges in quantum chemistry is the accurate modeling of strong electron correlation. While multireference methods effectively capture such correlation, their steep scaling with system size prohibits their application…

A better understanding of interfacial mechanisms is needed to improve the performances of electrochemical devices. Yet, simulating an electrode surface at fixed electrolyte composition remains a challenge. Here we apply a finite electric…

Materials Science · Physics 2019-11-13 Thomas Dufils , Guillaume Jeanmairet , Benjamin Rotenberg , Michiel Sprik , Mathieu Salanne

We present an extension of the semi-grandcanonical (SGC) ensemble that we refer to as the variance-constrained semi-grandcanonical (VC-SGC) ensemble. It allows for transmutation Monte Carlo simulations of multicomponent systems in…

This paper presents a homogenization framework for elastomeric metamaterials exhibiting long-range correlated fluctuation fields. Based on full-scale numerical simulations on a class of such materials, an ansatz is proposed that allows to…

Soft Condensed Matter · Physics 2018-10-29 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

A variety of problems in device and materials design require the rapid forward modeling of Maxwell's equations in complex micro-structured materials. By combining high-order accurate integral equation methods with classical multiple…

Numerical Analysis · Mathematics 2011-04-29 Zydrunas Gimbutas , Leslie Greengard

In this paper, we develop a novel unfitted multiscale framework that combines two separate scales represented by only one single computational mesh. Our framework relies on a mixed zooming technique where we zoom at regions of interest to…

Computational Engineering, Finance, and Science · Computer Science 2022-05-27 Ehsan Mikaeili , Susanne Claus , Pierre Kerfriden

Solid state theory, density functional theory and its generalizations for correlated systems together with numerical simulations on supercomputers allow nowadays to model magnetic systems realistically and in detail and can be even used to…

Materials Science · Physics 2023-10-16 Vladislav Borisov

Atomic-scale mapping of the chemical elements in materials is now possible using aberration-corrected electron microscopes but delocalization and multiple scattering can confound image interpretation. Here we report atomic-resolution…

Materials Science · Physics 2011-10-25 Huolin L. Xin , Christian Dwyer , David A. Muller

In this paper, we investigate the use of variational quantum algorithms for simulating the thermodynamic properties of dinuclear metal complexes. Our study highlights the potential of quantum computing to transform advanced simulations and…

Quantum Physics · Physics 2024-10-28 Ana Clara das Neves Silva , Clebson Cruz

We consider adaptive finite element methods for solving a multiscale system consisting of a macroscale model comprising a system of reaction-diffusion partial differential equations coupled to a microscale model comprising a system of…

Numerical Analysis · Mathematics 2015-06-22 A. Johansson , J. H. Chaudry , V. Carey , D. Estep , V. Ginting , M. Larson , S. Tavener

Recent developments dedicated to the building of multiscale mechanical and chemical constitutive laws for energetic molecular crystals are presented and discussed. In particular, various tools have been specifically incorporated in…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Paul Lafourcade , Nicolas Bruzy , Paul Bouteiller , Jean-Bernard Maillet , Christophe Denoual

Quantum nanosystems involve the coupled dynamics of fermions or bosons across multiple scales in space and time. Examples include quantum dots, superconducting or magnetic nanoparticles, molecular wires, and graphene nanoribbons. The number…

Mesoscale and Nanoscale Physics · Physics 2011-11-01 D. Balamurugan , Peter. J. Ortoleva

This work introduces an innovative parallel, fully-distributed finite element framework for growing geometries and its application to metal additive manufacturing. It is well-known that virtual part design and qualification in additive…

Computational Engineering, Finance, and Science · Computer Science 2019-04-30 Eric Neiva , Santiago Badia , Alberto F. Martín , Michele Chiumenti

Diffusion of interstitial alloying elements like H, O, C, and N in metals and their continuous relocation and interactions with their microstructures have crucial influences on metals properties. However, besides limitations in experimental…

Materials Science · Physics 2021-05-18 Seyed Sina Moeini-Ardakani , Seyedeh Mohadeseh Taheri-Mousavi , Ju Li

Concurrent multiscale methods play an important role in modeling and simulating materials with defects, aiming to achieve the balance between accuracy and efficiency. Atomistic-to-continuum (a/c) coupling methods, a typical class of…

Numerical Analysis · Mathematics 2025-02-27 Junfeng Lu , Hao Wang , Yangshuai Wang

We present a novel, generalised formulation to treat coupled structural integrity problems by combining phase field and multi-physics modelling. The approach exploits the versatility of the heat transfer equation and is therefore well…

Computational Engineering, Finance, and Science · Computer Science 2025-06-27 Y. Navidtehrani , C. Betegón , E. Martínez-Pañeda