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Related papers: Anisotropic thermo-elasticity in 2D -- Part II: Ap…

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In this note we develop tools and techniques for the treatment of anisotropic thermo-elasticity in two space dimensions. We use a diagonalisation technique to obtain properties of the characteristic roots of the full symbol of the system in…

Analysis of PDEs · Mathematics 2008-04-10 Michael Reissig , Jens Wirth

In this note we develop tools to study the Cauchy problem for the system of thermo-elasticity in higher dimensions. The theory is developed for general homogeneous anisotropic media under non-degeneracy conditions. For degenerate cases a…

Analysis of PDEs · Mathematics 2014-01-29 Jens Wirth

It is seen how to write the standard\^E form of the four partial differential equations in four unknowns of anisotropic thermoelasticity as a single equation in one variable, in terms of isothermal and isentropic wave operators. This…

Classical Physics · Physics 2020-05-11 N. H. Scott

Some anisotropy in both mechanical and thermodynamical properties of bismuth is expected. A combination of density functional theory total energy calculations and density functional perturbation theory in the local density approximation is…

Materials Science · Physics 2016-04-20 B. Arnaud , S. Lebègue , G. Raffy

Anisotropic thermal expansion plays a critical role in the performance and reliability of functional materials, yet its theoretical description remains limited. Here, a computational framework that reduces the calculation of thermal…

Materials Science · Physics 2026-02-25 Dmitry Vasilyev

Second-order structured deformations of continua provide an extension of the multiscale geometry of first-order structured deformations by taking into account the effects of submacroscopic bending and curving. We derive here an integral…

Optimization and Control · Mathematics 2017-05-24 Ana Cristina Barroso , José Matias , Marco Morandotti , David R. Owen

The transformation theory of optics and acoustics is developed for the equations of linear anisotropic elasticity. The transformed equations correspond to non-unique material properties that can be varied for a given transformation by…

Materials Science · Physics 2011-06-28 A. N. Norris , A. L. Shuvalov

Theoretical framework for the isosteric heat of adsorption is developed treating the effects of the non-ideal gas behavior and the adsorbed phase volume. Rigorous thermodynamic treatment for the adsorbed phase volume is presented for…

Chemical Physics · Physics 2017-09-07 Kyaw Thu , Sourav Mitra , Bidyut Baran Saha

The subject matter of this paper concerns anisotropic diffusion equations: we consider heat equations whose diffusion matrix have disparate eigenvalues. We determine first and second order approximations, we study the well-posedness of them…

Analysis of PDEs · Mathematics 2012-10-24 Mihai Bostan

We analyze the occurrence of in-plane anisotropy in the electronic, magnetic, elastic and transport properties of more than one thousand 2D materials from the C2DB database. We identify hundreds of anisotropic materials and classify them…

Materials Science · Physics 2020-09-09 Luca Vannucci , Urko Petralanda , Asbjørn Rasmussen , Thomas Olsen , Kristian S. Thygesen

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

Einstein field equations for anisotropic spheres are solved and exact interior solutions obtained. This paper extends earlier treatments to include anisotropic models which accommodate a wider variety of physically viable energy densities.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Chaisi , S. D. Maharaj

In this paper, we elaborately investigate the phonon transport, thermal expansion and thermomechanics of monolayer Td-WTe2 by using first-principles.

Mesoscale and Nanoscale Physics · Physics 2016-07-14 Hongyi Sun , Qingfang Li

We present a complete formulation of second-order (2+1)-dimensional anisotropic hydrodynamics. The resulting framework generalizes leading-order anisotropic hydrodynamics by allowing for deviations of the one-particle distribution function…

Nuclear Theory · Physics 2014-11-26 Dennis Bazow , Ulrich W. Heinz , Michael Strickland

The framework of anisotropic hydrodynamics is generalized to include finite particle masses. Two schemes are introduced and their predictions compared with exact solutions of the kinetic equation in the relaxation time approximation. The…

High Energy Physics - Phenomenology · Physics 2014-05-22 Wojciech Florkowski , Radoslaw Ryblewski , Michael Strickland , Leonardo Tinti

Predictions of the anisotropic coefficients of thermal expansion are needed to not only compare to experimental measurement, but also as input for macroscopic modeling of devices which operate over a large temperature range. While most…

Materials Science · Physics 2019-03-08 Nicholas A. Pike , Ole M. Løvvik

This work presents a generalized Kirchhoff-Love shell theory that can explicitly capture fiber-induced anisotropy not only in stretching and out-of-plane bending, but also in in-plane bending. This setup is particularly suitable for…

Materials Science · Physics 2023-06-06 Thang Xuan Duong , Vu Ngoc Khiêm , Mikhail Itskov , Roger Andrew Sauer

Realizing tunable functional materials with built-in nanoscale heat flow directionality represents a significant challenge that could advance thermal management strategies. Here we use spatiotemporally-resolved thermoreflectance to…

In this work, we study the near-field radiative heat transfer between two suspended sheets of anisotropic 2D materials. It is found that the radiative heat transfer can be enhanced with orders-of-magnitude over the blackbody limit for…

Optics · Physics 2018-08-09 Lixin Ge , Yuping Cang , Ke Gong , Lihai Zhou , Daqing Yu , Yongsong Luo

A thermomechanical, polar continuum formulation under finite strains is proposed for anisotropic materials using a multiplicative decomposition of the deformation gradient. First, the kinematics and conservation laws for three dimensional,…

Numerical Analysis · Mathematics 2024-12-20 Reza Ghaffari , Roger A. Sauer
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