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In this paper we present a mathematical and numerical analysis of an eigenvalue problem associated to the elasticity-Stokes equations stated in two and three dimensions. Both problems are related through the Herrmann pressure. Employing the…

数值分析 · 数学 2023-12-19 Arbaz Khan , Felipe Lepe , David Mora , Jesus Vellojin

A clear understanding of body force densities due to external electromagnetic fields is necessary to study flow and deformation of materials exposed to the fields. In this paper, we derive an expression for stress in continua with viscous…

流体动力学 · 物理学 2013-05-28 Amey Joshi

High-entropy alloys (HEAs) stand out between multi-component alloys due to their attractive microstructures and mechanical properties. In this investigation, molecular dynamics (MD) simulation and machine learning were used to ascertain the…

材料科学 · 物理学 2024-02-05 Hoang-Giang Nguyen , Thanh-Dung Le

Plastic flow behavior of low carbon steel has been studied at room temperature during tensile deformation by varying the initial strain rate of 3.3x10e-4 1/sec to the final strain rate ranging from 1.33x10e-3 1/sec to 2.0x10e-3 1/sec at a…

材料科学 · 物理学 2007-05-23 A. Ray , P. Barat , P. Mukherjee , A. Sarkar , S. K. Bandyopadhyay

A practical electronic structure method in which a two-body functional is the fundamental variable is constructed. The basic formalism of our method is equivalent to Hartree-Fock density matrix functional theory [M. Levy in {\it Density…

其他凝聚态物理 · 物理学 2008-04-23 Balazs Hetenyi , Andreas W. Hauser

In this paper, we study the numerical algorithm for a nonlinear poroelasticity model with nonlinear stress-strain relations. By using variable substitution, the original problem can be reformulated to a new coupled fluid-fluid system, that…

数值分析 · 数学 2022-05-17 Zhihao Ge , Hairun Li , Tingting Li

The pressure-induced phase transition, elasticity behavior, thermodynamic properties, and $P\mathtt{-}T$ phase diagram of $\alpha$, $\omega$, and $\beta$ equiatomic HfTi alloy are investigated using first-principles density-functional…

材料科学 · 物理学 2012-11-05 Yong Lu , Ping Zhang

We develop a statistical method to learn a molecular Hamiltonian matrix from a time-series of electron density matrices. We extend our previous method to larger molecular systems by incorporating physical properties to reduce…

化学物理 · 物理学 2021-08-03 Prachi Gupta , Harish S. Bhat , Karnamohit Ranka , Christine M. Isborn

We propose a protocol to model accurately the electromechanical behavior of dielectric elastomer membranes using experimental data of stress-stretch and voltage-stretch tests. We show how the relationship between electric displacement and…

软凝聚态物质 · 物理学 2018-11-14 Giuseppe Zurlo , Michel Destrade , Tongqing Lu

In this work we present a formalism for the calculation of the local elastic constants in inhomogeneous systems based on a method of planes. Unlike previous work, this formalism does not require the partitioning of the system into a set of…

软凝聚态物质 · 物理学 2009-11-07 K. Van Workum , J. J. de Pablo

We conduct dislocation dynamics (DD) simulations of Fe periodic single crystals under tensile load at several high strain rates and temperatures. The simulations are enabled by the recent development of temperature-dependent dislocation…

材料科学 · 物理学 2013-11-26 Meijie Tang , Jaime Marian

On the basis of the nonlinear theory of elasticity, the general constitutive equation for an isotropic hyperelastic solid in the presence of initial stress is derived. This derivation involves invariants that couple the deformation with the…

软凝聚态物质 · 物理学 2013-02-11 Moniba Shams , Michel Destrade , Ray W. Ogden

We investigate the ture electromechanical stability of dielectric elastomer actuators by considering the competition between Maxwell and mechanical stresses. Existing researches based on the positive defiiteness of the nominal Hessian…

软凝聚态物质 · 物理学 2017-05-16 Fengxian Xin , Tianjian Lu

A homogenization method to model a stack of second generation (2G) High Temperature Superconducting (HTS) tapes under AC applied transport current or magnetic field has been obtained. The idea is to find an anisotropic bulk equivalent for…

A standard elasto-plasto-dynamic model at finite strains based on the Lie-Liu-Kr\"oner multiplicative decomposition, formulated in rates, is here enhanced to cope with spatially inhomogeneous materials by using the reference (called also…

偏微分方程分析 · 数学 2023-04-13 Tomáš Roubíček , Giuseppe Tomassetti

A self-consistent thermodynamic model of metallic system is presented. The expression for the Gibbs energy is derived, which incorporates elastic (static) energy, vibrational energy within the Debye model, and electronic part in Hartee-Fock…

统计力学 · 物理学 2014-07-25 Tadeusz Balcerzak , Karol Szałowski , Michal Jaščur

When analyzing thermodynamic and kinetic properties of crystals whose anisotropy is not large and the considered effects do not relate to the existence of singled-out directions in crystals, one may use a more simple model of an isotropic…

统计力学 · 物理学 2020-04-15 Yu. M. Poluektov

Phonons in solid materials can be understood as the Goldstone bosons of the spontaneously broken spacetime symmetries. As such their low energy dynamics are greatly constrained and can be captured by standard effective field theory (EFT)…

高能物理 - 理论 · 物理学 2020-06-11 Lasma Alberte , Matteo Baggioli , Victor Cancer Castillo , Oriol Pujolas

In this work a non-conservative balance law formulation is considered that encompasses the rotating, compressible Euler equations for dry atmospheric flows. We develop a semi-discretely entropy stable discontinuous Galerkin method on…

This paper analyzes the stress distribution in a two-dimensional elastic disk under diametric loading, with a focus on enhancing the understanding of concrete and rock materials' mechanical behavior. The study revisits the Brazilian test…

软凝聚态物质 · 物理学 2025-10-14 Ken Okamura , Yosuke Sato , Satoshi Takada