The dynamic behavior of two parallel symmetric cracks in functionally graded piezoelectric/piezomagnetic materials |
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Authors: | Jun Liang |
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Institution: | (1) Center for Composite Materials and Structures, Harbin Institute of Technology, P.O. Box 3010, No. 2 Yikuang Street, Harbin, 150001, People’s Republic of China |
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Abstract: | The dynamic behavior of two parallel symmetric cracks in functionally graded piezoelectric/piezomagnetic materials subjected
to harmonic antiplane shear waves is investigated using the Schmidt method. The present problem can be solved using the Fourier
transform and the technique of dual integral equations, in which the unknown variables are jumps of displacements across the
crack surfaces, not dislocation density functions. To solve the dual integral equations, the jumps of displacements across
the crack surfaces are directly expanded as a series of Jacobi polynomials. Finally, the relations among the electric, magnetic
flux, and dynamic stress fields near crack tips can be obtained. Numerical examples are provided to show the effect of the
functionally graded parameter, the distance between the two parallel cracks, and the circular frequency of the incident waves
upon the stress, electric displacement, and magnetic flux intensity factors at crack tips. |
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Keywords: | Parallel cracks Stress wave Functionally graded piezoelectric/piezomagnetic materials |
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