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Related papers: Elastic constants of beta-eucryptite: A density fu…

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The elastic properties of eta-Fe2C (eta carbide) have been determined from ab initio density functional theory (DFT) calculations using the generalized gradient approximation (GGA). The isotropic polycrystalline elastic modulus of eta-Fe2C…

Materials Science · Physics 2014-01-31 Adrian Oila , Chi Lung , Steve Bull

The main aim of the present work is to estimate the effective elastic stiffnesses of a two-phase diamond/$\beta$-SiC composite thin film that is fabricated by chemical vapor deposition. The parameters of linear elasticity are determined by…

Materials Science · Physics 2018-12-19 Bernhard Eidel , Ajinkya Gote , Marius Ruby , Lorenz Holzer , Lukas Keller , Xin Jiang

A general procedure to investigate the elastic response and calculate the elastic constants of stressed and unstressed materials through continuum field modeling, particularly the phase field crystal (PFC) models, is presented. It is found…

Materials Science · Physics 2018-05-09 Zi-Le Wang , Zhi-Feng Huang , Zhirong Liu

Using the density functional formalism we derive expression for the distortion free energy for systems with continuous broken symmetry and use it to derive expression for the elastic constants of smectic phases in which director is tilted…

Soft Condensed Matter · Physics 2009-11-07 Yashwant Singh , Jokhan Ram

We present ab-initio calculations of the quasi-harmonic temperature dependent elastic constants. The isothermal elastic constants are calculated at each temperature as second derivatives of the Helmholtz free energy with respect to strain…

Materials Science · Physics 2021-09-29 Cristiano Malica , Andrea Dal Corso

The elastic constants of hcp $^{4}$He are computed using the path-integral Monte Carlo (PIMC) method. The stiffness coefficients are obtained by imposing different distortions to a periodic cell containing 180 atoms, followed by measurement…

Other Condensed Matter · Physics 2016-09-14 Luis Aldemar Peña Ardila , Silvio A. Vitiello , Maurice de Koning

To study temperature dependent elastic constants, a new computational method is proposed by combining continuum elasticity theory and first principles calculations. A Gibbs free energy function with one variable with respect to strain at…

Materials Science · Physics 2015-06-03 Tianjiao Shao , Bin Wen , Roderick Melnik , Shan Yao , Yoshiyuki Kawazoe , Yongjun Tian

Since in DFT+U there are multiple self-consistent electronic solutions, the so called metastable states, the elastic constants computed from stress-vs-strain will be incorrect if some of the strained configurations fall into a different…

Materials Science · Physics 2025-09-16 Mahmoud Payami , Samira Sheykhi

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…

Materials Science · Physics 2015-08-04 Maaouia Souissi , Hiroshi Numakura

A first-principles method is presented to calculate elastic constants up to the fourth order of crystals with the cubic and hexagonal symmetries. The method relies on the numerical differentiation of the second Piola-Kirchhoff stress tensor…

Materials Science · Physics 2023-05-03 Abhiyan Pandit , Angelo Bongiorno

The elastic and transport coefficients of a perfect face-centered cubic crystal of hard spheres are computed from the poles of the dynamic structure factor and of the spectral functions of transverse momentum density fluctuations. For such…

Statistical Mechanics · Physics 2023-12-20 Joel Mabillard , Pierre Gaspard

The structural, dynamical, and thermodynamical properties of diamond, graphite and layered derivatives (graphene, rhombohedral graphite) are computed using a combination of density-functional theory (DFT) total-energy calculations and…

Materials Science · Physics 2009-11-10 Nicolas Mounet , Nicola Marzari

Beta eucryptite (LiAlSiO4) shows one-dimensional super-ionic conductivity as well as anisotropic thermal expansion behavior. We have performed inelastic neutron scattering measurements in beta eucryptite over 300 to 900 K and calculated the…

Using first-principles calculations within the generalized gradient approximation, we predicted the lattice parameters, elastic constants, vibrational properties, and electronic structure of cementite (Fe3C). Its nine single-crystal elastic…

Materials Science · Physics 2009-11-13 Chao Jiang , S. G. Srinivasan , A. Caro , S. A. Maloy

On the basis of the pseudopotential plane-wave(PP-PW) method and the local-density-functional theory(LDFT), this paper studies energetics, stress-strain relation, stability and ideal strength of $\beta $-SiC under various loading modes,…

Materials Science · Physics 2009-10-31 Weixue Li , Tzuchiang Wang

The density-functional theory (DFT) and density-functional perturbation theory (DFPT) are employed to study the pressure dependence of elastic and dynamical properties of zinc-blende ZnS and ZnSe. The calculated elastic constants and phonon…

Materials Science · Physics 2012-04-30 H. Y. Wang , J. Cao , X. Y. Huang , J. M. Huang

The elastic response is studied of a single flexible chain grafted on a rigid plane and an ensemble of non-interacting tethered chains. It is demonstrated that the entropic theory of rubber elasticity leads to conclusions that disagree with…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

A statistical theory of cholesteric liquid crystals composed of short rigid biaxial molecules is presented. It is derived in the thermodynamic limit at a small density and a small twist. The uniaxial (biaxial) cholesteric phase is regarded…

Soft Condensed Matter · Physics 2009-10-21 A. Kapanowski

The thermodynamic and mechanical properties of graphitic systems are strongly dependent on the shear elastic constant C44. Using state-of-the-art density functional calculations, we provide the first complete determination of their elastic…

Materials Science · Physics 2010-08-24 G. Savini , Y. J. Dappe , S. Öberg , J. -C. Charlier , M. I. Katsnelson , A. Fasolino

Based on the relativistic mean field (RMF) model with Thomas-Fermi approximation, we investigate the elastic properties of neutron star matter. The elastic constants are estimated by introducing deformations on the nuclear pasta structures…

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