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The fast algorithms in Fourier optics have invigorated multifunctional device design and advanced imaging technologies. However, the necessity for fast computations has led to limitations in the widely used conventional Fourier methods,…

Applied Physics · Physics 2024-06-25 Zhi Li , Xuhao Luo , Jing Wang , Xin Yuan , Dongdong Teng , Qiang Song , Huigao Duan

Phase interfaces in melting and solidification processes are strongly affected by the presence of convection in the liquid. One way of modeling their transient evolution is to couple an incompressible flow model to an energy balance in…

Fluid Dynamics · Physics 2018-01-11 Alexander G. Zimmerman , Julia Kowalski

This study proposes a high-order multi-scale method tailored for time-dependent nonlinear thermo-electro-mechanical coupling problems of composite structures with highly spatial heterogeneity, which incorporate temperature-dependent…

Numerical Analysis · Mathematics 2026-04-22 Hao Dong

The elasto-plastic material behavior, material strength and failure modes of metals fabricated by additive manufacturing technologies are significantly determined by the underlying process-specific microstructure evolution. In this work a…

Computational Engineering, Finance, and Science · Computer Science 2021-06-30 Jonas Nitzler , Christoph Meier , Kei W. Müller , Wolfgang A. Wall , Neil E. Hodge

We present a new type of phase-change behavior relevant for information storage applications, that can be observed in 2D systems with cluster-forming ability. The temperature-based control of the ordering in 2D particle systems depends on…

Statistical Mechanics · Physics 2019-04-30 Rogelio Díaz-Méndez , Guido Pupillo , Fabio Mezzacapo , Mats Wallin , Jack Lidmar , Egor Babaev

Molecular dynamics (MD) is a powerful and popular tool for understanding the dynamical evolution of materials at the nano and mesoscopic scales. There are various flavors of MD ranging from the high fidelity albeit computationally expensive…

Computational Physics · Physics 2020-04-02 Rohit Batra , Subramanian Sankaranarayanan

Results are presented from numerical experiments aiming at the computation of stochastic phase-field models for phase transformations by coarse-graining molecular dynamics. The studied phase transformations occur between a solid crystal and…

Numerical Analysis · Mathematics 2009-08-11 Erik von Schwerin

The behavior of materials is influenced by a wide range of phenomena occurring across various time and length scales. To better understand the impact of microstructure on macroscopic response, multiscale modeling strategies are essential.…

A micromorphic computational homogenization framework has recently been developed to deal with materials showing long-range correlated interactions, i.e. displaying patterning modes. Typical examples of such materials are elastomeric…

Soft Condensed Matter · Physics 2024-06-21 S. Maraghechi , O. Rokoš , R. H. J. Peerlings , M. G. D. Geers , J. P. M. Hoefnagels

Diffusion in ternary, multiphase systems was studied theoretically and experimentally in Ni-Cr-Al system at 1200C. The samples were prepared by the multiple method. It has been shown that the method allows obtaining good quality, planar,…

Materials Science · Physics 2018-05-08 Marek Zajsuz

In this opinion piece, we discuss recent advances in experimental methods for characterizing phase change heat transfer. We begin with a survey of techniques for high-resolution measurements of temperature and heat flux at the solid surface…

Mesoscale and Nanoscale Physics · Physics 2014-08-04 Jacopo Buongiorno , David G. Cahill , Carlos H. Hidrovo , Saeed Moghaddam , Aaron J. Schmidt , Li Shi

The failure of heterogeneous materials with microstructures is a complex process of damage nucleation, growth and localisation. This process spans multiple length scales and is challenging to simulate numerically due to its high…

Materials Science · Physics 2023-05-24 Philip P. Müller , Falk K. Wittel , David S. Kammer

Much work has been devoted to analysing thermodynamic models for solid dispersions with a view to identifying regions in the phase diagram where amorphous phase separation or drug recrystallization can occur. However, detailed partial…

Soft Condensed Matter · Physics 2020-06-26 Martin Meere , Giuseppe Pontrelli , Sean McGinty

This work is concerned with the micro-architecture of multi-layer material that globally exhibits desired mechanical properties, for instance a negative apparent Poisson ratio. We use inverse homogenization, the level set method, and the…

Optimization and Control · Mathematics 2019-01-30 Grigor Nika , Andrei Constantinescu

This work overviews a new, recent success of phase-field modelling: its application to predicting the evolution of the corrosion front and the associated structural integrity challenges. Despite its important implications for society,…

Chemical Physics · Physics 2024-06-24 E. Martínez-Pañeda

Solid-state dewetting is the process by which thin solid films break up and retract on a substrate, forming nanostructures. While dewetting of single-crystalline films is understood as a surface-energy-driven process mediated by surface…

Materials Science · Physics 2026-02-25 Paul Hoffrogge , Nils Becker , Daniel Schneider , Britta Nestler , Axel Voigt , Marco Salvalaglio

A recently developed full field level-set model of continuous dynamic recrystallization is applied to simulate zircaloy-4 recrystallization during hot compression and subsequent heat treatment. The influence of strain rate, final strain and…

Materials Science · Physics 2023-04-21 Victor Grand , Baptiste Flipon , Alexis Gaillac , Marc Bernacki

Elastic interactions arising from a difference of lattice spacing between two coherent phases can have a strong influence on the phase separation (coarsening) of alloys. If the elastic moduli are different in the two phases, the elastic…

Mathematical Physics · Physics 2015-06-26 P. Fratzl , O. Penrose , J. L. Lebowitz

Polycrystalline thin films can be unstable with respect to island formation (agglomeration) through grooving where grain boundaries intersect the free surface and/or thin film-substrate interface. We develop a phase-field model to study the…

Materials Science · Physics 2007-05-23 Mathieu Bouville , Shenyang Hu , Long-Qing Chen , Dongzhi Chi , David J Srolovitz

We propose a novel level set-based topology optimization for micropolar solids subjected to thermo-mechanical loading. To capture the size effects, we have incorporated the microstructural length-scale information into the level set-based…

Computational Physics · Physics 2026-01-21 Mayank Shekhar , Ayyappan Unnikrishna Pillai , Subhayan De , Mohammad Masiur Rahaman