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Phase field crystal (PFC) models constitute a field theoretical approach to solidification, melting and related phenomena at atomic length and diffusive time scales. One of the advantages of these models is that they naturally contain…

Materials Science · Physics 2015-06-18 V. Heinonen , C. V. Achim , K. R. Elder , S. Buyukdagli , T. Ala-Nissila

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

In this work, we propose a numerical approach for simulations of large deformations of interfaces in a level set framework. To obtain a fast and viable numerical solution in both time and space, temporal discretization is based on the…

General Mathematics · Mathematics 2023-05-30 Aymen Laadhari , Ahmad Deeb

Microstructural pattern formation, such as dendrite growth, occurs widely in materials and energy systems, significantly influencing material properties and functional performance. While the phase-field method has emerged as a powerful…

Materials Science · Physics 2025-11-07 Kaihua Ji , Luning Sun , Shusen Liu , Fei Zhou , Tae Wook Heo

We study the two-dimensional kinetic Ising model below its equilibrium critical temperature, subject to a square-wave oscillating external field. We focus on the multi-droplet regime where the metastable phase decays through nucleation and…

Statistical Mechanics · Physics 2009-10-31 G. Korniss , C. J. White , P. A. Rikvold , M. A. Novotny

The athermal quasistatic deformation method provides an elegant solution to overcome the limitation of short time spans in molecular simulations. It provides overdamped conditions, allowing for the extraction of purely structural responses…

Computational Physics · Physics 2026-04-30 Maximilian Reihn , Franz Bamer , Benjamin Stamm

Immersed finite element methods provide a convenient analysis framework for problems involving geometrically complex domains, such as those found in topology optimization and microstructures for engineered materials. However, their…

Numerical Analysis · Mathematics 2025-01-30 Nils Wunsch , Keenan Doble , Mathias R. Schmidt , Lise Noël , John A. Evans , Kurt Maute

Calculations of elastic and mechanical characteristics of non-crystalline solids are challenging due to high computation cost of $ab$ $initio$ methods and low accuracy of empirical potentials. We propose a computational technique towards…

Phase-field models of microstructural pattern formation during alloy solidification are commonly solved numerically using the finite-difference method, which is ideally suited to carry out computationally efficient simulations on massively…

Materials Science · Physics 2022-02-17 Kaihua Ji , Amirhossein Molavi Tabrizi , Alain Karma

The induction hardening behavior of a new, hot-rolled 0.4 wt.% carbon steel with the two different starting microstructures of upper and lower bainite has been simulated using a Gleeble 3800. The effect of heating rate in the range 1 - 500…

Materials Science · Physics 2019-03-12 Vahid Javaheri , Satish Kolli , Bjørnar Grande , David Porter

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

A thermodynamic framework has been developed for a class of amorphous polymers used in fused deposition modeling (FDM), in order to predict the residual stresses and the accompanying distortion of the geometry of the printed part (warping).…

Classical Physics · Physics 2021-02-09 P. Sreejith , K. Kannan , K. R. Rajagopal

Thermal multi-phase flow simulations are indispensable to understanding the multi-scale and multi-physics phenomena in metal additive manufacturing (AM) processes, yet accurate and robust predictions remain challenging. This book chapter…

Computational Engineering, Finance, and Science · Computer Science 2022-06-13 Jinhui Yan , Qiming Zhu , Ze Zhao

This paper investigates a computational strategy for studying the interactions between multiple through-the-width delaminations and global or local buckling in composite laminates taking into account possible contact between the delaminated…

Numerical Analysis · Mathematics 2012-09-03 Karin Saavedra , Olivier Allix , Pierre Gosselet

The decomposition kinetics of a solid-solution into separate phases are analyzed with an equation of motion initially developed to account for dissipative processes in quantum systems. This equation and the steepest-entropy-ascent quantum…

Statistical Mechanics · Physics 2019-05-22 Ryo Yamada , Michael R. von Spakovsky , William T. Reynolds,

Here we propose the generalized statistical multifragmentation model which includes the liquid phase pressure of the most general form. This allows us to get rid of the absolute incompressibility of the nuclear liquid. Also the present…

Nuclear Theory · Physics 2011-06-30 K. A. Bugaev , A. I. Ivanytskyi , E. G. Nikonov , A. S. Sorin , G. M. Zinovjev

Ultrastable glasses, amorphous solids with exceptionally low-energy states and enhanced kinetic, thermodynamic and mechanical stability, have long been a subject of intense experimental interest. Over the past decade, their computational…

Disordered Systems and Neural Networks · Physics 2026-05-05 Fabio Leoni , Misaki Ozawa , John Russo , Taiki Yanagishima , Andrea Ninarello

Finite element models without simplifying assumptions can accurately describe the spatial and temporal distribution of heat in machine tools as well as the resulting deformation. In principle, this allows to correct for displacements of the…

Computational Engineering, Finance, and Science · Computer Science 2018-11-20 Andreas Naumann , Daniel Ruprecht , Joerg Wensch

Numerical simulations are used in this work to investigate aspects of microstructure and microsegregation during rapid solidification of a Ni-based superalloy in a laser powder bed fusion additive manufacturing process. Thermal modeling by…

The flow of incompressible fluids through porous media plays a crucial role in many technological applications such as enhanced oil recovery and geological carbon-dioxide sequestration. The flow within numerous natural and synthetic porous…

Computational Engineering, Finance, and Science · Computer Science 2018-05-23 S. H. S. Joodat , K. B. Nakshatrala , R. Ballarini