Elastic constants of a stressed crystal. I. General theory

Zarochentsev, E. V.; Orel, S. M.; Varyukhin, V. N.

doi:10.1002/pssa.2210520213

Cited by 15 publications

(9 citation statements)

References 8 publications

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“…The Brugger (C ik ), Fuchs (B ik ), and Birch (B ik ) elastic moduli for a strained crystal ( 0 p π ) are related by the following expressions (Chapters 1, 4 in book [7], see also [1,2,36,39] .…”

Section: Elements Of the Finite Deformation Theorymentioning

confidence: 99%

“…Let us consider the short-range repulsive part of the interatomic potential. The free energy E (1) was calculated within the Hartree-Fock approximation and on the basis of orbitals of the isolated-atom electrons being orthogonalized, exactly according to Levdin, at different crystal sites. The Hartree-Fock method does not involve approximations uncontrolled in the case of strongly compressed crystal, since it uses the exact Hamiltonian of multielectron system…”

Section: Interatomic Potential and Elastic Constantsmentioning

confidence: 99%

“…The general theory developed in the paper [1] applied to a cubic crystal subjected to pressure [2]. The second-order derivatives of the elastic constants with respect to the uniaxial stress parameters are obtained.…”

Section: Introductionmentioning

confidence: 99%

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Interatomic potential and elastic constants of rare‐gas crystals under pressure

Zarochentsev

Varyukhin

Troitskaya³

et al. 2006

Physica Status Solidi (b)

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In previous papers, the authors have ab initio constructed a nonempirical pair interatomic potential of rare-gas crystals. It was constructed for the case of high pressures (strong compression). The equations of state are solved and the elastic constants responsible for the propagation of sound in strongly compressed crystals of rare gases are calculated in the next-nearest-neighbor approximation using the interatomic potential proposed by the authors. The results of calculations are in satisfactory agreement with the experimental data. The shear modulus B 12 is described somewhat less well. The last experiment data show that Cauchy relation is satisfied in krypton consequently the interatomic interaction in the rare-gas crystals has a central character.

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Section: Elements Of the Finite Deformation Theorymentioning

confidence: 99%

Section: Interatomic Potential and Elastic Constantsmentioning

confidence: 99%

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Interatomic potential and elastic constants of rare‐gas crystals under pressure

Zarochentsev

Varyukhin

Troitskaya³

et al. 2006

Physica Status Solidi (b)

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“…the dependence of the wave velocity on external stress allows a determination of the mixed moduli (adiabaticisothermal): [30,31]. Usually the difference between them does not exceed 10%.…”

Section: Nonlinear Elastic Effectsmentioning

confidence: 99%

Depression of the ferroelastic phase transition in LiCsSO4 by uniaxial stress

Tylczyñski

2011

Open Physics

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Abstract:In the lithium-caesium sulphate crystal in the temperature range of ferroelastic phase transition, the uniaxial stress σ X induced changes in velocity and attenuation of the longitudinal ultrasonic wave propagating in the direction [010] are studied. The phase transition is close to the three-critical point and the critical exponent is κ = 0 27 ± 0 02. The stress applied drastically decreases the stepwise change in the wave velocity at T C up to its disappearance at 2 MPa. In the temperature range between T C and T C − 6 K, the stress leads to an increase in the wave velocity and a decrease in its attenuation. This range was interpreted as that of co-existence of ferroelastic and incommensurate ordering, in which the stress influences the density of solitons leading to stiffening of the crystal lattice. PACS

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“…Цикл работ [15][16][17][18][19][20][21] посвящен исследованию модулей упругости второго и высших порядков напряженных кристаллов с различным типом химической связи и симметрии. Часть результатов этих исследований пред-ставлена в монографии [22].…”

Section: Introductionunclassified

Упругие Свойства Сжатых Кристаллов Инертных Газов В Модели Деформируемых Атомов

Горбенко¹,

Троицкая²,

Пилипенко³

2017

Физика Твердого Тела

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Упругие свойства сжатых кристаллов инертных газов Ne, Ar, Kr и Xe исследуются в модели деформи-руемых и поляризуемых атомов. Рассчитаны модули упругости Фукса второго порядка и их производные по давлению, а также коэффициент упругой анизотропии Зенера с учетом трехчастичного взаимодействия и деформации электронных оболочек квадрупольного типа в широком интервале давлений. Проведено сравнение с экспериментом и результатами других авторов. В Хе при сжатии 0.6 наблюдается обращение в нуль сдвигового модуля B 44 , что соответствует ГЦК-ГПУ-переходу при 75 GPa. DOI: 10.21883/FTT.2017.01.43962.167 ВведениеМногочисленные теоретические [1-9] исследования модулей упругости второго порядка и других, связанных с ними, упругих свойств кристаллов инертных газов (КИГ) при высоких давлениях были проведены с ис-пользованием первопринципных методов и модельных потенциалов. Модули упругости третьего порядка для кристаллов были темой для обширного исследования в течение последних нескольких десятилетий и оценива-лись в ранних работах [10][11][12][13][14]

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Elastic constants of a stressed crystal. I. General theory

Cited by 15 publications

References 8 publications

Interatomic potential and elastic constants of rare‐gas crystals under pressure

Interatomic potential and elastic constants of rare‐gas crystals under pressure

Depression of the ferroelastic phase transition in LiCsSO4 by uniaxial stress

Упругие Свойства Сжатых Кристаллов Инертных Газов В Модели Деформируемых Атомов

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