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We propose two Hybrid High-Order (HHO) methods for the incompressible Navier-Stokes equations and investigate their robustness with respect to the Reynolds number. While both methods rely on a HHO formulation of the viscous term, the…

数值分析 · 数学 2021-12-21 Lorenzo Botti , Francesco Carlo Massa

We report on simulations of two-phase flows with deforming interfaces at various density contrasts by solving thermodynamically consistent Cahn-Hilliard Navier-Stokes equations. An (essentially) unconditionally energy-stable…

Synchrotron Laue microdiffraction and Digital Image Correlation measurements were coupled to track the elastic strain field (or stress field) and the total strain field near a general grain boundary in a bent bicrystal. A 316L stainless…

The accurate determination of the elastic properties is non-trivial for metallic foils. The measured elastic modulus is often described in literature as significantly smaller than the respective modulus of the bulk counterparts. This paper…

材料科学 · 物理学 2020-09-30 C. O. W. Trost , S. Wurster , C. Freitag , A. Steinberger , M. J. Cordill

We propose a framework for discrete scientific data compression based on the tensor-train (TT) decomposition. Our approach is tailored to handle unstructured output data from discrete element method (DEM) simulations, demonstrating its…

数值分析 · 数学 2022-10-18 Saibal De , Eduardo Corona , Paramsothy Jayakumar , Shravan Veerapaneni

Based on the cross correlation analysis of the Kikuchi diffraction patterns high-resolution EBSD is a well established method to determine the internal stress in deformed crystalline materials. In many cases, however, the stress values…

材料科学 · 物理学 2017-04-05 Szilvia Kalácska , István Groma , András Borbély , Péter Dusan Ispánovity

In this paper, we propose a new approach for the time-discretization of the incompressible stochastic Stokes equations with multiplicative noise. Our new strategy is based on the classical Milstein method from stochastic differential…

数值分析 · 数学 2022-12-08 Liet Vo

The mechanical properties of a solid, which relate its deformation to external applied forces, are key factors in enabling or disabling the use of an otherwise optimal material in any application, strongly influencing also its service…

材料科学 · 物理学 2025-08-28 Margherita Marsili , Elisa Damiani , Davide Dalle Ave , Gabriele Losi , M. Clelia Righi

We investigate the equation of state and elastic properties of hcp iron at high pressures and high temperatures using first principles linear response linear-muffin-tin-orbital method in the generalized-gradient approximation. We calculate…

材料科学 · 物理学 2015-05-14 Xianwei Sha , R. E. Cohen

Pull-in (or electro-mechanical) instability occurs when a drastic decrease in the thickness of a dielectric elastomer results in electrical breakdown, which limits the applications of dielectric devices. Here we derive the criteria for…

软凝聚态物质 · 物理学 2020-09-04 Yipin Su , Weiqiu Chen , Michel Destrade

For small tension the response of a solid to an applied stress is given by Hooke's law. Outside this linear regime the relation between stress and strain is no longer universal and at present there is no satisfactory insight on how to…

无序系统与神经网络 · 物理学 2023-02-15 Zhen Zhang , Simona Ispas , Walter Kob

Achieving strongly symmetric stress approximations for linear elasticity problems in high-contrast media poses a significant computational challenge. Conventional methods often struggle with prohibitively high computational costs due to…

数值分析 · 数学 2025-09-03 Eric T. Chung , Changqing Ye , Xiang Zhong

Elastic constants are among the most fundamental and important properties of solid materials, which is why they are routinely characterized in both experiments and simulations. While conceptually simple, the treatment of elastic constants…

材料科学 · 物理学 2023-08-01 Jan Grießer , Lucas Frérot , Jonas A. Oldenstaedt , Martin H. Müser , Lars Pastewka

We study a model describing the slow flow of a fluid through a deformable, porous, elastic solid undergoing small deformations. The stress-strain relationship of the solid incorporates nonlinear effects, formulated as a perturbation of the…

数值分析 · 数学 2026-04-28 Andrea Bonito , Vivette Girault , Diane Guignard

Diamond is used extensively as a component in high energy density experiments, but existing equation of state (EOS) models do not capture its observed response to dynamic loading. In particular, in contrast with first principles theoretical…

In the spirit of Germain the most general objective stored elastic energy for a second gradient material is deduced using a literature result of Fortun\'e & Vall\'ee. Linear isotropic constitutive relations for stress and hyperstress in…

数学物理 · 物理学 2010-08-18 F. dell'Isola , G. Sciarra , S. Vidoli

A system of partial differential equations (PDEs) is derived to compute the full-field stress from an observed kinematic field when the flow rule governing the plastic deformation is unknown. These equations generalize previously proposed…

材料科学 · 物理学 2023-01-19 Benjamin C. Cameron , Cem Tasan

Single Crystal Elastic Constants (SECs) are pivotal for understanding material deformation, validating interatomic potentials, and enabling crucial material simulations. The entropy stabilized oxide showcases intriguing properties,…

The elastic response of mechanical, chemical, and biological systems is often modeled using a discrete arrangement of Hookean springs, either representing finite material elements or even the molecular bonds of a system. However, to date,…

软凝聚态物质 · 物理学 2026-03-03 Doron Grossman , Arezki Boudaoud

We investigate the equation of state and elastic properties of nonmagnetic hcp iron at high pressures and high temperatures using the first principles linear response linear-muffin-tin-orbital method in the generalized-gradient…

其他凝聚态物理 · 物理学 2007-08-02 Xianwei Sha , R. E. Cohen