Interaction between edge dislocations and a circular hole with surface stress

Fang, Qihong; Li, B.; Liu, Y. W.

doi:10.1002/pssb.200642375

Cited by 14 publications

(2 citation statements)

References 27 publications

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“…Application of simplified forms of the Gurtin and Murdoch model to problems involving point defects and cracks include the analysis of interaction of an edge dislocation with a single inhomogeneity (Fang and Liu 2006;Fang et al 2007), and the configurational equilibrium of isolated cracks and voids (Rajapakse 1975; Thomson et al 1986;Chuang 1987;Wu 1999;Wu and Wang 2001). No results are available, however, for the interaction of a crack and an inhomogeneity.…”

Section: Introductionmentioning

confidence: 98%

Interaction between a crack and a circular inhomogeneity with interface stiffness and tension

et al. 2009

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The interaction between a straight crack and a circular inhomogeneity with interface stiffness and energy is considered. The Gurtin and Murdoch model is adopted, wherein the interface between the inhomogeneity and the matrix is regarded as a material surface that possesses its own mechanical properties and surface tension. The elastostatics problem is decomposed into two complimentary problems for (1) a circular disk with unknown distributions of traction and displacements along its boundary and (2) a loaded isotropic plane containing a circular hole with unknown distributions of traction and displacements along its boundary. The unknown distributions are determined through the application of the constitutive relations at the material surface. For selected values of the dimensionless parameters that quantify the geometry, material properties and applied loading, the stress field, stress intensity factors and energy release rates are calculated using a complex boundary integral equation approach. Particular attention is paid to crack-tip shielding and anti-shielding that develops as a result of the stresses introduced by the material surface. An illustrative example involving a perforated plate loaded in tension suggests that the material surface produces a modest level of expected effective toughening.

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Section: Introductionmentioning

confidence: 98%

Interaction between a crack and a circular inhomogeneity with interface stiffness and tension

et al. 2009

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“…В разработ-ке этого подхода можно взять за основу результаты, полученные при развитии двух важных направлений в теории дислокаций. Первое направление -это изучение упругого взаимодействия дислокаций с внутренними порами в твердом теле [19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. Второе направление -это анализ динамики формирования различных дисло-кационных структур в условиях внешних воздействий в рамках двумерной ньютоновской динамики [39][40][41][42][43].…”

Section: Introductionunclassified

Динамика проникающих дислокаций в пористых гетероэпитаксиальных пленках GaN

Гуткин¹,

Ржавцев²

2017

Физика Твердого Тела

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С помощью компьютерного моделирования методом двумерной дискретной динамики дислокаций ис-следовано поведение проникающих дислокаций в пористых гетероэпитаксиальных пленках нитрида галлия (GaN). Использована расчетная схема, в которой поры моделировались сечениями цилиндрических полостей, упруго взаимодействующих с однонаправленными параллельными краевыми дислокациями, имитирующими проникающие дислокации. Получены временные зависимости координат и скоростей каждой дислокации из исследованных дислокационных ансамблей. Выполнена визуализации текущей структуры дислокационного ансамбля в виде карты расположения дислокаций в любой момент времени. Показано, что плотность возникающих дислокационных структур существенно зависит от отношения площади поперечного сечения поры к площади области моделирования. В частности, увеличение доли поверхности пор на поверхности слоя до 2% должно приводить к снижению конечной плотности проникающих дислокаций примерно в 1.5 раза, а увеличение этой доли до 15% -примерно в 4.5 раза.Работа выполнена при поддержке Министерства образования и науки Российской Федерации (грант № 3.3194.2017/РCh).

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Screw dislocations interacting with a coated inhomogeneity containing two imperfect interfaces

Fang

Liu

et al. 2008

Physica Status Solidi (b)

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The interaction between screw dislocations, which are located at arbitrary points inside either the matrix or the inhomogeneity, and a circular coated inhomogeneity with two imperfect interfaces is investigated. The explicit solutions of the stress fields and strain energy are derived. With the aid of the Peach–Koehler formula, the explicit expressions of the image forces acting on the dislocations are derived for some cases. The mobility of the screw dislocation in the matrix is discussed for variable parameters (interface imperfection, material mismatch and dislocation position) and the influence of the nearby dislocations is also considered. The attractive force acting on the screw dislocation produced by the imperfect interfaces will increase with the increment of the degree of the interface imperfection. In addition, the mobility and stability of the screw dislocation are strongly influenced by nearby dislocations. The basic solutions provided in this paper can be used as Green's functions to solve the problem on the interaction between arbitrary shape crack and a coated inhomogeneity with imperfect interfaces. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Interaction between edge dislocations and a circular hole with surface stress

Cited by 14 publications

References 27 publications

Interaction between a crack and a circular inhomogeneity with interface stiffness and tension

Interaction between a crack and a circular inhomogeneity with interface stiffness and tension

Динамика проникающих дислокаций в пористых гетероэпитаксиальных пленках GaN

Screw dislocations interacting with a coated inhomogeneity containing two imperfect interfaces

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