Abstract
Magneto-electro-elastic composite materials have extensive applications in modern smart structures, because they possess good coupling between mechanical, electrical and magnetic fields. This new effect was reported for the first time by Van Suchtelen [1] in 1972. Due to their ceramic structure, cracks inevitably exist in these materials. If these cracks extend, the material may lose its structural integrity and/or functional properties. In this study we consider functionally graded magneto-electro-elastic materials subjected to anti-plane time-harmonic load. The purpose is to evaluate the dependence of the stress concentration near the crack tips on the frequency of the applied external load. The mathematical model is described by a boundary value problem for a system of partial differential equations. A Radon transform is used to derive fundamental solutions in a closed form. Following Wang and Zhang, for the piezoelectric case, the boundary value problem is reduced to a system of integro-differential equations along the crack. For the numerical solution, software code in FORTRAN 77 is developed and validated using available examples in literature. Simulations show the dependence of the stress intensity factors (SIF) on frequency of the incident wave for different types of load, crack dispositions and the magnitude and direction of the material gradient.
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Acknowledgements
The author acknowledges the support of the Bulgarian National Science Fund under the Grant: DFNI-I 02/12.
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Stoynov, Y. (2019). 2D Crack Problems in Functionally Graded Magneto-Electro-Elastic Materials. In: Öchsner, A., Altenbach, H. (eds) Engineering Design Applications. Advanced Structured Materials, vol 92. Springer, Cham. https://doi.org/10.1007/978-3-319-79005-3_18
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DOI: https://doi.org/10.1007/978-3-319-79005-3_18
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