每年出版 6 期
ISSN 打印: 1543-1649
ISSN 在线: 1940-4352
Indexed in
Continuum and Atomistic Modeling of the Mixed Straight Dislocation
摘要
A continuum and atomistic approach to the modeling of dislocations observed by high-resolution transmission electron microscopy (HRTEM) is discussed in terms of the continuum theory of dislocations. The atomistic models are obtained by means of the use of a mathematical formula for discrete dislocations. A new analytical solution for a continuously distributed dislocation core is presented. This solution is employed in the finite element modeling of residual stresses induced by the net of dislocations visible on an HRTEM image of GaN structure. This paper terminates with some comments on the atomistic/finite-element modeling of dislocation fields. Because of some confusion concerning notations used in the literature, the mathematical foundations of the continuum theory of dislocations are revisited.
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Ortiz-Bernardin A., Sfyris D., A finite element formulation for stressed bodies with continuous distribution of edge dislocations, Acta Mechanica, 226, 5, 2015. Crossref
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PRZYBYŁA P., A pattern recognition method for lattice distortion measurement from HRTEM images, Journal of Microscopy, 245, 2, 2012. Crossref
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Jurczak Grzegorz, Dłużewski Paweł, Finite element modelling of threading dislocation effect on polar GaN/AlN quantum dot, Physica E: Low-dimensional Systems and Nanostructures, 95, 2018. Crossref
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Dłużewski Paweł, Young Toby D., Dimitrakopulos George P., Kioseoglou Joseph, Komninou Philomela, Nonlinear Finite Element and Atomistic Modelling of Dislocations in Heterostructures, in Computer Methods in Mechanics, 1, 2010. Crossref