Dynamic Behavior of Two Parallel Symmetry Cracks in Magneto-Electro-Elastic Composites Under Harmonic Anti-Plane Waves

ZHOU Zhen-gong; WANG Biao

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(5): 519-526

ZHOU Zhen-gong, WANG Biao. Dynamic Behavior of Two Parallel Symmetry Cracks in Magneto-Electro-Elastic Composites Under Harmonic Anti-Plane Waves[J]. Applied Mathematics and Mechanics, 2006, 27(5): 519-526.

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Dynamic Behavior of Two Parallel Symmetry Cracks in Magneto-Electro-Elastic Composites Under Harmonic Anti-Plane Waves

ZHOU Zhen-gong¹,
WANG Biao²

1.
Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, P. R. China;

Received Date: 2004-07-31
Rev Recd Date: 2006-01-10
Publish Date: 2006-05-15

Abstract

Abstract

The dynamic behavior of two parallel symmetry cracks in magneto-electro-elastic composites under harmonic anti-plane shear waves is studied by Schmidt method. By using the Fourier trans-form, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jumps of the displacements across the crack surfaces. To solve the dual integral equations, the jumps of the displacements across the crack surface were expanded in a series of Jacobi polynomials. The relations among the electric filed, the magnetic flux and the stress field were obtained. From the results, it can be obtained that the singular stresses in piezoelectric/piezomagnetic materials carry the same forms as those in a general elastic material for the dynamic anti-plane shear fracture problem. The shielding effect of two parallel cracks was also discussed.
- magneto-electro-elastic composites,
- crack,
- harmonic waves,
- dual integral equations,
- intensity factor

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References(15)

References

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