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We investigate phase-field modeling of brittle fracture in a one-dimensional bar featuring a continuous variation of elastic and/or fracture properties along its axis. Our main goal is to quantitatively assess how the heterogeneity in…

Applied Physics · Physics 2022-11-22 Francesco Vicentini , Pietro Carrara , Laura De Lorenzis

The usual formulation of thermodynamics is based on the additivity of macroscopic systems. However, there are numerous examples of macroscopic systems that are not additive, due to the long-range character of the interaction among the…

Statistical Mechanics · Physics 2022-06-22 Ivan Latella , Agustín Pérez-Madrid , Alessandro Campa , Lapo Casetti , Stefano Ruffo

The variety and complexity of heterogeneous materials in the engineering practice are continuously increasing, open-cell metal foams filled with phase change materials are typical examples. These are also having an impact on the recent…

Applied Physics · Physics 2023-07-03 Robert Kovacs

Understanding the thermal behavior of additive manufacturing (AM) processes is crucial for enhancing the quality control and enabling customized process design. Most purely physics-based computational models suffer from intensive…

Machine Learning · Computer Science 2023-01-20 Shuheng Liao , Tianju Xue , Jihoon Jeong , Samantha Webster , Kornel Ehmann , Jian Cao

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but…

Mathematical Physics · Physics 2016-04-11 Bernard Deconinck , Beatrice Pelloni , Natalie Sheils

Temperature is a fundamental regulator of chemical and biochemical kinetics, yet capturing nonlinear thermal effects directly from experimental data remains a major challenge due to limited throughput and model flexibility. Recent advances…

Quantitative Methods · Quantitative Biology 2025-12-23 Mamoru Saita , Yutaka Hori

A simple bulk model of electron-phonon coupling in metals has been surprisingly successful in explaining experiments on metal films that actually involve surface- or other low-dimensional phonons. However, by an exact application of this…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. -X. Qu , A. N. Cleland , M. R. Geller

A very active area of materials research is to devise methods that use machine learning to automatically extract predictive models from existing materials data. While prior examples have demonstrated successful models for some applications,…

Materials Science · Physics 2016-08-29 Logan Ward , Ankit Agrawal , Alok Choudhary , Christopher Wolverton

A homogenization approach is one of effective strategies to solve multiscale elliptic problems approximately. The finite element heterogeneous multiscale method (FEHMM) which is based on the finite element makes possible to simulate such…

Numerical Analysis · Mathematics 2022-01-27 Jaeryun Yim , Dongwoo Sheen , Imbo Sim

We calibrate a (3+1)-dimensional multistage hybrid framework using the measured pseudo-rapidity distribution of charged particles and rapidity distribution of net protons for central Au+Au collisions at $\sqrt{s_{\rm…

Nuclear Theory · Physics 2024-05-09 Lipei Du , Han Gao , Sangyong Jeon , Charles Gale

This paper aimed at extending a model developed by Ladeveze to capture thermal expansion and coupled thermo-mechanical phenomena, as such as those encountered at elevated and extreme temperatures. In the new model a linear thermal expansion…

Materials Science · Physics 2016-09-28 Koffi Enakoutsa , Youssef Hammi , John E. Crawford , Joseph Abraham , Joe Magallanes

Structural materials are broadly used in applications such as nuclear vessels, high-temperature processes, and civil construction. Usually, during their placing and lifespan, they may present free or chemically bonded liquid phases in their…

Materials Science · Physics 2021-03-29 M. H. Moreira , R. F. Ausas , S. Dal Pont , P. I. Pelissari , A. P. Luz , V. C. Pandolfelli

High electronic excitations in radiation of metallic targets with swift heavy ion beams at the coulomb barrier play a dominant role in the damaging processes of some metals. The inelastic thermal spike model was developed to describe tracks…

Instrumentation and Detectors · Physics 2020-03-18 Christelle Stodel , Marcel Toulemonde , Christoph Fransen , Bertrand Jacquot , Emmanuel Clément , Christian Dufour

The theory of elastic magnets is formulated under possible diffusion and heat flow governed by Fick's and Fourier's laws in the deformed (Eulerian) configuration, respectively. The concepts of nonlocal nonsimple materials and viscous…

Mathematical Physics · Physics 2018-05-09 Tomas Roubicek , Giuseppe Tomassetti

In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws…

Numerical Analysis · Mathematics 2019-05-22 Nima Noii , Thomas Wick

In this paper, we apply the thermodynamic framework recently put into place by Rajagopal and co-workers, to develop rate-type models for viscoelastic fluids which do not possess instantaneous elasticity. To illustrate the capabilities of…

Numerical Analysis · Computer Science 2010-07-23 Satish Karra , K. R. Rajagopal

An irreversible thermodynamical theory of solids is presented where the kinematic quantities are defined in an automatically objective way. Namely, auxiliary elements like reference frame, reference time and reference configuration are…

Classical Physics · Physics 2015-12-22 Tamás Fülöp

We have developed a theoretical formalism to introduce temperature as a parameter into the framework of non-relativistic quantum mechanics using the laws of classical thermodynamics and the canonical ensemble scheme of statistical…

Quantum Physics · Physics 2021-03-08 Ashkan Shekaari , Mahmoud Jafari

A quantitative description of the properties of hot nuclear matter will be needed for the interpretation of the available and forthcoming astrophysical data, providing information on the post merger phase of a neutron star coalescence. We…

Nuclear Theory · Physics 2022-11-30 Lucas Tonetto , Omar Benhar

Brittle materials subjected to thermal shocks experience strong temperature gradients that in turn give rise to mechanical stresses that can be large enough to induce fracture. This work presents a complete model for phase-field fracture…

Computational Physics · Physics 2026-02-11 Bo Zeng , John E. Dolbow
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