Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Electroelastic Wave Scattering in a Cracked Dielectric Polymer under a Uniform Electric Field | Hindawi Publishing Corporation Boundary Value Problems Volume 2009 Article ID 949124 27 pages doi 2009 949124 Research Article Electroelastic Wave Scattering in a Cracked Dielectric Polymer under a Uniform Electric Field Yasuhide Shindo and Fumio Narita Department of Materials Processing Graduate School of Engineering Tohoku University Aoba-yama 6-6-02 Sendai 980-8579 Japan Correspondence should be addressed to Yasuhide Shindo shindo@ Received 25 April 2009 Revised 2 May 2009 Accepted 18 May 2009 Recommended by Juan J. Nieto We investigate the scattering of plane harmonic compression and shear waves by a Griffith crack in an infinite isotropic dielectric polymer. The dielectric polymer is permeated by a uniform electric field normal to the crack face and the incoming wave is applied in an arbitrary direction. By the use of Fourier transforms we reduce the problem to that of solving two simultaneous dual integral equations. The solution of the dual integral equations is then expressed in terms of a pair of coupled Fredholm integral equations of the second kind having the kernel that is a finite integral. The dynamic stress intensity factor and energy release rate for mode I and mode II are computed for different wave frequencies and angles of incidence and the influence of the electric field on the normalized values is displayed graphically. Copyright 2009 Y. Shindo and F. Narita. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. Introduction Elastic dielectrics such as insulating materials have been reported to have poor mechanical properties. Mechanical failure of insulators is also a well-known phenomenon. Therefore understanding the fracture behavior of the elastic dielectrics will provide useful information to the insulation designers. Toupin 1 considered the isotropic .