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A PENNY-SHAPED CRACK IN A MAGNETOELECTROELASTIC LAYER UNDER RADIAL SHEAR IMPACT LOADING
作者姓名:Feng  Wenjie  Nie  Hui  Han  Xu
作者单位:[1]Department of Engineering Mechanics, Shijiazhuang Railway Institute, Shijiazhuang 050043, China [2]State Key Lab Adv Design & Manufacture Vehicle Bo, Hunan University, Changsha 410082, China
基金项目:国家自然科学基金 , 河北省自然科学基金
摘    要:This paper analyzes the dynamic magnetoelectroelastic behavior induced by a penny- shaped crack in a magnetoelectroelastic layer.The crack surfaces are subjected to only radial shear impact loading.The Laplace and Hankel transform techniques are employed to reduce the prob- lem to solving a Fredholm integral equation.The dynamic stress intensity factor is obtained and numerically calculated for different layer heights.And the corresponding static solution is given by simple analysis.It is seen that the dynamic stress intensity factor for cracks in a magnetoelec- troelastic layer has the same expression as that in a purely elastic material.And the influences of layer height on both the dynamic and static stress intensity factors are insignificant as h/a>2.

关 键 词:磁电弹性  裂纹形成  应力强度  拉普拉斯变换
收稿时间:29 April 2007
修稿时间:2007-04-29

A PENNY-SHAPED CRACK IN A MAGNETOELECTROELASTIC LAYER UNDER RADIAL SHEAR IMPACT LOADING
Feng Wenjie Nie Hui Han Xu.A PENNY-SHAPED CRACK IN A MAGNETOELECTROELASTIC LAYER UNDER RADIAL SHEAR IMPACT LOADING[J].Acta Mechanica Solida Sinica,2007,20(3):275-282.
Authors:Feng Wenjie  Nie Hui  Han Xu  
Affiliation:1. Department of Engineering Mechanics, Shijiazhuang Railway Institute, Shijiazhuang 050043, China;2. State Key Lab Adv Design & Manufacture Vehicle Bo, Hunan University, Changsha 410082, China;1. Department of Mechanics, Le Quy Don Technical University, 236 Hoang Quoc Viet, Hanoi, Viet Nam;2. Institute for Research and Development, Duy Tan University, Da Nang City, Viet Nam;3. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, 2-12-1-W8-22, Ookayama, Meguro-ku, Tokyo 152-8552, Japan;4. Department of Engineering Mechanics, Hohai University, Nanjing 211100, PR China;1. Faculty of Mechanical Engineering, Le Quy Don Technical University, Hanoi City, Viet Nam;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box: 80203, Jeddah 21589, Saudi Arabia;3. School of Transportation Engineering, Hanoi University of Science and Technology, Hanoi, Viet Nam;1. Department of Mechanics, Le Quy Don Technical University, 236 Hoang Quoc Viet, Hanoi, Vietnam;2. Institute of Mechanics, VAST, 18 Hoang Quoc Viet, Hanoi, Vietnam;3. Advanced Materials and Structures Laboratory, University of Engineering and Technology, Vietnam National University, 144 Xuan Thuy, Cau Giay, Hanoi, Vietnam;4. Infrastructure Engineering Program, VNU Vietnam-Japan University, My Dinh 1, Tu Liem, Hanoi, Vietnam;5. Institute for Research and Development, Duy Tan University, Da Nang City, Vietnam;6. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, 2-12-1-W8-22, Ookayama, Meguro-ku, Tokyo 152-8552, Japan;1. College of Quality and Technical Supervision, Hebei University, Baoding 071002, China;2. Hebei Key Laboratory of Energy Metering and Safety Testing Technology, Hebei University, Baoding 071002, China;3. Non-destructive Testing Laboratory, Hebei University, Baoding 071002, China
Abstract:This paper analyzes the dynamic magnetoelectroelastic behavior induced by a penny- shaped crack in a magnetoelectroelastic layer.The crack surfaces are subjected to only radial shear impact loading.The Laplace and Hankel transform techniques are employed to reduce the prob- lem to solving a Fredholm integral equation.The dynamic stress intensity factor is obtained and numerically calculated for different layer heights.And the corresponding static solution is given by simple analysis.It is seen that the dynamic stress intensity factor for cracks in a magnetoelec- troelastic layer has the same expression as that in a purely elastic material.And the influences of layer height on both the dynamic and static stress intensity factors are insignificant as h/a>2.
Keywords:magnetoelectroelastic layer  penny-shaped crack  impact  stress intensity factor  Hankel transform  Laplace transform
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