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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/25949

Title: Finite element analysis of discrete edge dislocations: configurational forces and conserved integrals
Authors: Baxevanakis, Konstantinos P.
Giannakopoulos, A.E.
Keywords: Edge dislocation
Conserved integrals
Peach–Koehler force
Issue Date: 2015
Publisher: © Elsevier Ltd.
Citation: BAXEVANAKIS, K.P. and GIANNAKOPOULOS, A.E., 2015. Finite element analysis of discrete edge dislocations: configurational forces and conserved integrals. International Journal of Solids and Structures, 62 pp. 52 - 65.
Abstract: We present a finite element description of Volterra dislocations using a thermal analogue and the integral representation of dislocations through stresses in the context of linear elasticity. Several analytical results are fully recovered for two dimensional edge dislocations. The full fields are reproduced for edge dislocations in isotropic and anisotropic bodies and for different configurations. Problems with dislocations in infinite medium, near free surfaces or bimaterial interfaces are studied. The efficiency of the proposed method is examined in more complex problems such as interactions of dislocations with inclusions, cracks, and multiple dislocation problems. The configurational (Peach-Koehler) force of the dislocations is calculated numerically based on energy considerations (Parks method). Some important integral conservation laws of elastostatics are considered and the connection between the material forces and the conserved integrals (J and M) is presented. The variable core model of Lubarda and Markenscoff is introduced to model the dislocation core area that is indeterminate by the classical theory.
Description: This article was published in the International Journal of Solids and Structures [© Elsevier Ltd.] and the definitive version is available at: https://doi.org/10.1016/j.ijsolstr.2015.01.025
Version: Accepted for publication
DOI: 10.1016/j.ijsolstr.2015.01.025
URI: https://dspace.lboro.ac.uk/2134/25949
Publisher Link: http://dx.doi.org/10.1016/j.ijsolstr.2015.01.025
ISSN: 0020-7683
Appears in Collections:Published Articles (Mechanical, Electrical and Manufacturing Engineering)

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