TY - JOUR
T1 - The dynamic behavior of two parallel symmetric cracks in functionally graded piezoelectric/piezomagnetic materials
AU - Liang, Jun
PY - 2008/6
Y1 - 2008/6
N2 - 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.
AB - 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.
KW - Functionally graded piezoelectric/piezomagnetic materials
KW - Parallel cracks
KW - Stress wave
UR - http://www.scopus.com/inward/record.url?scp=42349095043&partnerID=8YFLogxK
U2 - 10.1007/s00419-007-0173-6
DO - 10.1007/s00419-007-0173-6
M3 - Article
AN - SCOPUS:42349095043
SN - 0939-1533
VL - 78
SP - 443
EP - 464
JO - Archive of Applied Mechanics
JF - Archive of Applied Mechanics
IS - 6
ER -