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Single crystal elastic constants of bcc iron and bct FeC and FeN alloys, martensites, have been evaluated by ab initio calculations based on the density functional theory. The energy of a strained crystal has been computed using the…

材料科学 · 物理学 2015-08-04 Maaouia Souissi , Hiroshi Numakura

In this paper, we performed a detailed theoretical study of structural, elastic and electronic properties of two germanides LuAuGe and ScAuGe by means of first-principles calculations using the pseudopotential plane-wave method within the…

材料科学 · 物理学 2021-03-30 M. Radjai , N. Guechi , D. Maouche

Phenomenological plastic flow stress models are used extensively in the simulation of large deformations of metals at high strain-rates and high temperatures. Several such models exist and it is difficult to determine the applicability of…

材料科学 · 物理学 2019-02-20 Biswajit Banerjee

The elastic tensor provides valuable insight into the mechanical behavior of a material with lattice strain, such as disordered binary alloys. Traditional stress-strain methods have made it possible to compute elastic constants for ordered…

材料科学 · 物理学 2025-11-06 Surya T. Bijjala , Susan R. Atlas , Pankaj Kumar

We present the formulation for finding the distribution of eigenstrains, i.e. the sources of residual stress, from a set of measurements of residual elastic strain (e.g. by diffraction), or residual stress, or stress redistribution, or…

材料科学 · 物理学 2007-05-23 Alexander M. Korsunsky , Gabriel M. Regino , David Nowell

We compare high-order methods including spectral difference (SD), flux reconstruction (FR), the entropy-stable discontinuous Galerkin spectral element method (ES-DGSEM), modal discontinuous Galerkin methods, and WENO to select the best…

流体动力学 · 物理学 2023-08-09 Ahmad Peyvan , Khemraj Shukla , Jesse Chan , George Karniadakis

Tensile tests were conducted on dual-phase high-strength steel in a Split-Hopkinson Tension Bar at a strain-rate in the range of 150-600/s and in a servo-hydraulic testing machine at a strain-rate between 10-3 and 100/s. A novel specimen…

材料科学 · 物理学 2007-12-27 V. Tarigopula , O. S. Hopperstad , M. Langseth , A. H. Clausen , François Hild

The statistical-thermodynamic dislocation theory developed in previous papers is used here in an analysis of high-temperature deformation of aluminum and steel. Using physics-based parameters that we expect theoretically to be independent…

材料科学 · 物理学 2017-07-19 K. C. Le , T. M. Tran , J. S. Langer

This paper presents a high-order discontinuous Galerkin (DG) scheme for the simulation of wave propagation through coupled elastic-acoustic media. We use a first-order stress-velocity formulation, and derive a simple upwind-like numerical…

数值分析 · 数学 2020-07-15 Kaihang Guo , Sebastian Acosta , Jesse Chan

We develop a family of $H(\mathrm{div})$-conforming hybridizable discontinuous Galerkin methods for the steady Stokes equations based on BDM and RT velocity spaces with either discontinuous or continuous hybrid traces. In contrast to our…

数值分析 · 数学 2026-04-23 Gang Chen , Wenyi Liu , Yangwen Zhang

In an attempt to describe cork-pulling, we model a cork as an incompressible rubber-like material and consider that it is subject to a helical shear deformation superimposed onto a shrink fit and a simple torsion. It turns out that this…

经典物理 · 物理学 2007-12-04 Riccardo De Pascalis , Michel Destrade , Giuseppe Saccomandi

We present a theoretical scheme to calculate the elastic constants of magnetic materials in the high-temperature paramagnetic state. Our approach is based on a combination of disordered local moments picture and ab initio molecular dynamics…

材料科学 · 物理学 2016-08-24 Elham Mozafari , Nina Shulumba , Peter Steneteg , Björn Alling , Igor A. Abrikosov

The purpose of this paper is to analyze a mixed method for linear elasticity eigenvalue problem, which approximates numerically the stress, displacement, and rotation, by piecewise $(k+1)$, $k$ and $(k+1)$-th degree polynomial functions…

数值分析 · 数学 2023-03-31 Xiang Zhong , Weifeng Qiu

We investigate the elastic properties of selected zincblende III-V semiconductors. Using hybrid functional density functional theory we calculate the second and third order elastic constants, and first and second-order internal strain…

计算物理 · 物理学 2018-12-12 Daniel S. P. Tanner , Miguel A. Caro , Stefan Schulz , Eoin P. O'Reilly

The effect of external strain on surface properties of simple metals is considered within the modified stabilized jellium model. The equations for the stabilization energy of the deformed Wigner-Seitz cells are derived as a function of the…

介观与纳米尺度物理 · 物理学 2009-11-07 V. V. Pogosov , V. P. Kurbatsky

In this work, the elastic and thermodynamic properties of Pt$_{3}$Al under high pressure are investigated using density functional theory within the generalized gradient approximation. The results of bulk modulus and elastic constants at…

材料科学 · 物理学 2015-12-25 N. Wei , Ch. Zhang , S. Hou

A popular version of the finite strain Maxwell fluid is considered, which is based on the multiplicative decomposition of the deformation gradient tensor. The model combines Newtonian viscosity with hyperelasticity of Mooney-Rivlin type; it…

数值分析 · 数学 2021-03-15 A. V. Shutov

When discretizing symmetric stress tensors in variational problems arising in continuum mechanics, one has to choose how to enforce the symmetry of the stress tensor: (i) strongly by requiring the discrete tensors to be pointwise symmetric…

数值分析 · 数学 2026-05-21 Pablo Brubeck , Charles Parker , Umberto Zerbinati

Strain-based theory on elastic instabilities is being widely employed for studying onset of plasticity, phase transition or melting in crystals. And size effects, observed in nano-materials or solids under dynamic loadings, needs to account…

材料科学 · 物理学 2017-07-20 Kun Wang , Jun Chen , Wenjun Zhu , Meizhen Xiang

This work presents an extended formulation of maximal stiffness design, within the framework of the topology optimization. The mathematical formulation of the optimization problem is based on the postulated principle of equal dissipation…

最优化与控制 · 数学 2007-05-23 Balthasar Novak , Sergey Ananiev