Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (12): 1357-1366.

• Articles •     Next Articles

THE BEHAVIOR OF TWO PARALLEL SYMMETRIC PERMEABLE CRACKS IN PIEZOELECTRIC MATERIALS

ZHOU Zhen-gong, WANG Biao   

  1. P O Box 2147, Center for Composite Materials and Electro-Optics Research Center, Harbin Institute of Technology, Harbin 150001, P. R. China
  • Received:2001-07-19 Revised:2002-04-26 Online:2002-12-18 Published:2002-12-18
  • Supported by:
    the National Natural Science Foundation for Excellent Young Investigators (19725209);the Natural Science Foundation of Heilongjiang Province;the Post Doctoral Science Founda tion of Heilongjiang Province

Abstract: The behavior of two parallel symmetric cracks in piezoelectric materials under anti-plane shear loading was studied by the Schmidt method for the permeable crack face conditions. By using the Fourier transform, the problem can be solved with two pairs of dual integral equations in which the unknown variable is the jump of the diplacement across the crack surfaces. These equations were solved using the Schmidt method. The results show that the stress and the electric displacement intensity factors of cracks depend on the geometry of the crack.Contrary to the impermeable crack surface condition solution, it is found that the electric displacement intensity factors for the permeable crack surface conditions are much smaller than the results for the impermeable crack surface conditions.

2010 MSC Number: 

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