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A method is presented to calculate from first principles the higher-order elastic constants of a solid material. The method relies on finite strain deformations, a density functional theory approach to calculate the Cauchy stress tensor,…

Materials Science · Physics 2025-10-08 Ruvini Attanayake , Umesh C. Roy , Abhiyan Pandit , Angelo Bongiorno

Electrostriction is an important material property that characterizes how strain changes with the development of polarization inside a material. We show that \textit{ab initio }techniques developed in recent years can be exploited to…

Materials Science · Physics 2016-06-24 Z. Jiang , R. Zhang , F. Li , L. Jin , N. Zhang , D. Wang , C. -L. Jia

Using multiple scattering theory, we derived for the first time analytical formulas for electrostrictive tensors for two dimensional metamaterial systems. The electrostrictive tensor terms are found to depend explicitly on the symmetry of…

Optics · Physics 2015-07-01 Wujiong Sun , S. B. Wang , Jack Ng , Lei Zhou , C. T. Chan

Electrostrictive materials exhibit a strain that is proportional to the square of the induced polarization. In linear dielectrics where the permittivity is constant, this electromechanical strain is also proportional to the square of the…

Diffraction-based stress analysis of textured materials depends on understanding their elastic heterogeneity and its influence on microscopic strain distributions, which is generally done by using simplifying assumptions for crystallite…

Materials Science · Physics 2025-05-23 Maximilian Krause , Nicola Simon , Claudius Klein , Jens Gibmeier , Thomas Böhlke

We present a review of the basic ideas and techniques of the spectral density functional theory which are currently used in electronic structure calculations of strongly-correlated materials where the one-electron description breaks down.…

Strongly Correlated Electrons · Physics 2009-11-11 G. Kotliar , S. Y. Savrasov , K. Haule , V. S. Oudovenko , O. Parcollet , C. A. Marianetti

The methods of density-functional perturbation theory may be used to calculate various physical response properties of insulating crystals including elastic, dielectric, Born charge, and piezoelectric tensors. These and other important…

Materials Science · Physics 2009-12-18 Xifan Wu , David Vanderbilt , D. R. Hamann

A first-principles method, based on density functional perturbation theory, is presented for computing the leading order tunability of high-dielectric-constant materials.

Materials Science · Physics 2007-05-23 K. M. Rabe

In this paper, we did a systematic comparative study on the accuracy of two computational methods of elastic constants combined with the density functional theory (DFT), the stress-strain method and the energy-strain method. We took metal…

Materials Science · Physics 2020-05-12 Zhong-Li Liu , Xiu-Lu Zhang , Cuan-Cuan Zhu , Hai-Yan Wang

We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

Materials Science · Physics 2007-05-23 Werner A. Hofer , Krisztian Palotas

We prove that the electron density function of a real physical system can be uniquely determined by its values on any finite subsystem. This establishes the existence of a rigorous density-functional theory for any open electronic system.…

Quantum Physics · Physics 2007-05-23 Xiao Zheng , Fan Wang , GuanHua Chen

As a class of electron-rich materials, electrides demonstrate promising applications in many fields. However, the required high pressure restricts the practical applications to some extent. This study reveals that the unique feature of…

Materials Science · Physics 2025-12-03 L. Zhang , D. Wang , H. Wang , J. Li , Y. F. Wang , Q. Wu , Hua Y. Geng

Computing the temperature and stress dependence of the full elastic constant tensor from first-principles in non-cubic materials remains a challenging problem. Here we circumvent the aforementioned challenge via the generalized…

Materials Science · Physics 2024-03-01 Mark A. Mathis , Chris A. Marianetti

Recent work shows that density functional theory calculations accurately describe materials exhibiting turbostratic disorder between layers of incommensurate constituents. These calculations approximate one of the constituents as a finite…

Materials Science · Physics 2016-11-23 Sven P. Rudin

The authors present a quantity termed charge-spin susceptibility, which measures the charge response to spin degrees of freedom in strongly correlated materials. This quantity is simple to evaluate using both standard density functional…

Superconductivity · Physics 2021-02-23 J. N. B. Rodrigues , Lucas K. Wagner

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…

Soft Condensed Matter · Physics 2018-11-14 Giuseppe Zurlo , Michel Destrade , Tongqing Lu

In order to understand the physical hysteresis loops clearly, we constructed a novel model, which is combined with the electric field, the temperature, and the stress as one synthetically parameter. This model revealed the shape of…

Materials Science · Physics 2017-07-31 Zhi Ma , Yanan Ma , Fu Zheng , Hua Gao , Hongfei Liu , Huanming Chen

A novel energy minimization formulation of electrostatics that allows computation of the electrostatic energy and forces to any desired accuracy in a system with arbitrary dielectric properties is presented. An integral equation for the…

Classical Physics · Physics 2009-11-13 O. I. Obolensky , T. P. Doerr , R. Ray , Yi-Kuo Yu

Photostriction is a phenomenon that can potentially improve the precision of light-driven actuation, the sensitivity of photodetection, and the efficiency of optical energy harvesting. However, known materials with significant…

Materials Science · Physics 2024-08-21 Zeyu Xiang , Yubi Chen , Yujie Quan , Bolin Liao

The measurement of the lattice-parameter of silicon by x-ray interferometry assumes the use of strain-free crystals. This might not be the case because surface relaxation, reconstruction, and oxidation cause strains without the application…

Computational Physics · Physics 2016-11-23 C Melis , S Giordano , L Colombo , G Mana
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