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Theoretical model of crack branching in magnetoelectric thermoelastic materials

Zhang, Aibing B. and Wang, Baolin L. (2014). Theoretical model of crack branching in magnetoelectric thermoelastic materials. International Journal of Solids and Structures,51(6):1340-1349.

Document type: Journal Article
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IRMA ID 75039815xPUB341
Title Theoretical model of crack branching in magnetoelectric thermoelastic materials
Author Zhang, Aibing B.
Wang, Baolin L.
Journal Name International Journal of Solids and Structures
Publication Date 2014
Volume Number 51
Issue Number 6
ISSN 0020-7683   (check CDU catalogue open catalogue search in new window)
Scopus ID 2-s2.0-84894902875
Start Page 1340
End Page 1349
Total Pages 10
Place of Publication United Kingdom
Publisher Pergamon Press
HERDC Category C1 - Journal Article (DIISR)
Abstract Thermomagnetoelectroelastic crack branching of magnetoelectro thermoelastic materials is theoretically investigated based on Stroh formalism and continuous distribution of dislocation approach. The crack face boundary condition is assumed to be fully thermally, electrically and magnetically impermeable. Explicit Green’s functions for the interaction of a crack and a thermomagnetoelectroelastic dislocation (i.e., a thermal dislocation, a mechanical dislocation, an electric dipole and a magnetic dipole located at a same point) are presented. The problem is reduced to two sets of coupled singular integral equations with the thermal dislocation and magnetoelectroelastic dislocation densities along the branched crack line as the unknown variables. As a result, the formulations for the stress, electric displacement and magnetic induction intensity factors and energy release rate at the branched crack tip are expressed in terms of the dislocation density functions and the branch angle. Numerical results are presented to study the effect of applied thermal flux, electric field and magnetic field on the crack propagation path by using the maximum energy release rate criterion.
Keywords Thermomagnetoelectroelastic
Crack branching
Thermal stresses
Intensity factors
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Created: Wed, 19 Aug 2015, 12:01:19 CST