Closed-form solutions for two anti-plane collinear cracks in a magnetoelectroelastic layer

In this paper we develop closed form solutions for anti-plane mechanical and in-plane electric and magnetic fields for two collinear cracks in magneto-electro-elastic layer of finite thickness under the conditions of permeable crack faces using integral transform method. The anti-plane mechanical sh...

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Bibliographic Details
Published in:European journal of mechanics, A, Solids A, Solids, 2009-05, Vol.28 (3), p.599-609
Main Authors: Singh, B.M., Rokne, J., Dhaliwal, R.S.
Format: Article
Language:English
Subjects:
Composite materials
Cracks
Displacement
Exact sciences and technology
Exact solutions
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Magnetic fields
Magnetic induction
Mathematical analysis
Mathematical models
Physics
Piezoelectric/piezomagnetic
Shear stress
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary:In this paper we develop closed form solutions for anti-plane mechanical and in-plane electric and magnetic fields for two collinear cracks in magneto-electro-elastic layer of finite thickness under the conditions of permeable crack faces using integral transform method. The anti-plane mechanical shear or displacement and in-plane electrical and magnetic loading are applied to the top and bottom surfaces of the layer for the two cases considered. Expressions for shear stresses, electric displacements and magnetic inductions in the vicinity of the cracks are derived as well as intensity factors for two cracks in magneto-electro-elastic layer. Numerical results for stress intensity factors and energy release rate are shown graphically.
ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2008.10.004