Dynamic analysis of a cracked magnetoelectroelastic medium under antiplane mechanical and inplane electric and magnetic impacts |
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| Institution: | 1. Mathematics Teaching and Research Section of Basic Department, The Army Infantry Academy of PLA, Nanchang, Jiangxi 330100, China;2. School of Civil Engineering and Architecture, Guangxi University, Nanning, Guangxi 530004, China;3. Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education, Guangxi University, Nanning, Guangxi 530004, China;4. Guangxi Engineering Research Center of Water Security Intelligent Control for Karst Region, Guangxi University, Nanning 530004, China;1. Department of Astronautics and Mechanics, Harbin Institute of Technology, 92 West Dazhi Street, Harbin, Heilongjiang Province, 150001, PR China;2. Department of Civil and Environmental Engineering and Department of Mechanical Engineering, Northwestern University, 2145 Sheridan Road, Evanstion, IL, 60208, United States;3. Department of Civil and Environmental Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL, 60208, United States |
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| Abstract: | The transient analysis of a magnetoelectroelastic medium containing a crack is made under antiplane mechanical and inplane electric and magnetic impacts. The crack is assumed to penetrate through the solid along the poling direction. By using the Fourier and Laplace transforms, the associated mixed boundary value problem is reduced to a Fredholm integral equation of the second kind, which is solved numerically. By means of a numerical inversion of the Laplace transform, dynamic field intensity factors are obtained in the time domain. Numerical results are presented graphically to show the effects of the material properties and applied electric and magnetic impacts on the dynamic intensity factors of COD and stress, and dynamic energy density factors. The results indicate that except for the intensity factors of electric displacement and magnetic induction, other field intensity factors exhibit apparent transient feature. Moreover, they depend strongly on mechanical input as well as electric and magnetic impacts. |
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