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Radiative cooling is an important ingredient in hydrodynamical models involving evolution of high temperature plasmas. Unfortunately, calculating an accurate cooling coefficient generally requires the solution of over a hundred differential…

Astrophysics · Physics 2009-11-06 Robert A. Benjamin , Bradford A. Benson , Donald P. Cox

Fractional calculus is an effective tool in incorporating the effects of non-locality and memory into physical models. In this regard, successful applications exist rang- ing from signal processing to anomalous diffusion and quantum…

General Physics · Physics 2014-08-26 S. S. Bayin , J. P. Krisch

Considering high-temperature heating, the equations of transient heat conduction model require an adaptation, i.e. the dependence of thermophysical parameters of the model on the temperature is to be identified for each specific material to…

Systems and Control · Electrical Eng. & Systems 2022-07-04 Zhukov Petr , Glushchenko Anton , Fomin Andrey

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

The method consists in the monitoring of the temperature variation of a superconductor tape subjected to a trapezoidal current pulse. Simulations of the experiment were performed using the lumped capacitance model and also the finite…

Superconductivity · Physics 2007-05-23 Benoit des Ligneris Marcel Aubin Julian Cave

This paper presents a comprehensive computational framework for investigating thermo-elastic fracture in transversely isotropic materials, where classical linear elasticity fails to predict physically realistic behavior near stress…

Numerical Analysis · Mathematics 2025-10-08 Saugata Ghosh , Dambaru Bhatta , S. M. Mallikarjunaiah

Emerging quality requirements in modern optical systems increase the need for accurate simulation and compensation of disturbances. One key disturbance in high-power laser applications results from thermal loading due to absorption. This…

Optics · Physics 2025-06-24 Mark Kurcsics , Peter Eberhard

The fracture behavior of brittle and ductile materials can be strongly influenced by thermal fluctuations, especially in micro- and nano-devices as well as in rubberlike and biological materials. However, temperature effects, in particular…

Materials Science · Physics 2023-03-15 Andrea Cannizzo , Stefano Giordano

Thermally activated processes are key to understanding the dynamics of physical systems. Thermal diffusion of (quasi-)particles for instance not only yields information on transport and dissipation processes but is also an exponentially…

In this work, we present a new model for the interpretation of the local dynamic behavior and the mechanical reinforcement mechanism in polymer nanocomposites. The temperature dependence of the dynamics in the glassy region is described by…

Soft Condensed Matter · Physics 2019-05-16 Georgios Kritikos , Kostas Karatasos

Governing equations are derived for the kinetics of physical aging in polymeric glasses. An amorphous polymer is treated as an ensemble of cooperatively rearranged regions (CRR). Any CRR is thought of as a string of elementary clusters…

Soft Condensed Matter · Physics 2007-05-23 Aleksey D. Drozdov

Constitutive equations are derived for the viscoelastic behavior of filled elastomers at isothermal loading with finite strains. A particle-reinforced rubber is thought of as a composite where regions with low concentrations of junctions…

Materials Science · Physics 2009-11-07 Aleksey D. Drozdov , Al Dorfmann

We describe a novel coarse-grained simulation method for modelling the dynamics of globular macromolecules, such as proteins. The macromolecule is treated as a continuum that is subject to thermal fluctuations. The model includes a…

Computational Physics · Physics 2015-06-11 Robin Oliver , Daniel J. Read , Oliver G. Harlen , Sarah A. Harris

In order to improve performance of photovoltaic/thermal (or PV/T for simplicity) collectors, this paper firstly validated a previous computational thermal model and then introduced an improved computational thermal model to investigate the…

Systems and Control · Electrical Eng. & Systems 2021-05-13 Jimeng Shi , Cheng-Xian Lin

We show that the density and temperature dependences of the $\alpha$-relaxation time of several glassforming polymers can be described through a single scaling variable $X=e(\rho)/T$, where $e(\rho)$ is well fitted by a power law $\rho^x$,…

Soft Condensed Matter · Physics 2009-11-10 C. Alba-Simionesco , A. Cailliaux , A. Alegria , G. Tarjus

We introduce complex order fractional derivatives in models that describe viscoelastic materials. This can not be carried out unrestrictedly, and therefore we derive, for the first time, real valued compatibility constraints, as well as…

Analysis of PDEs · Mathematics 2016-05-10 Teodor M. Atanacković , Sanja Konjik , Stevan Pilipović , Dušan Zorica

Quantum effects in material systems are often pronounced at low energies and become insignificant at high temperatures. We find that, perhaps counterintuitively, certain quantum effects may follow the opposite route and become sharp when…

Statistical Mechanics · Physics 2015-09-08 Z. Nussinov , F. Nogueira , M. Blodgett , K. F. Kelton

We propose and explore a new, general-purpose method for the implicit time integration of elastica. Key to our approach is the use of a mixed variational principle. In turn its finite element discretization leads to an efficient alternating…

Graphics · Computer Science 2022-02-03 Ty Trusty , Danny M. Kaufman , David I W Levin

In this article, a finite element model is implemented to analyze hydro-thermal convective flow in a porous medium. The mathematical model encompasses Darcy's law for incompressible fluid behavior, which is coupled with a…

Numerical Analysis · Mathematics 2024-02-27 S. M. Mallikarjunaiah , Dambaru Bhatta

The multi-branched Husimi recursive lattice has been extended to a virtual structure with fractional numbers of branches joined on one site. Although the lattice is undrawable in real space, the concept is consistent with regular Husimi…

Statistical Mechanics · Physics 2014-11-18 Ran Huang , Chong Chen