电磁材料反平面裂纹力-电-磁塑性区分析  

Analysis of the magneto-electro-elastic yielding zone of the anti-plane mode crack problem in electromagnetic materials

作　　者：彭代方[1] 周又和[1] 雍华东[1] 

机构地区：[1]兰州大学西部灾害与环境力学教育部重点实验室,土木工程与力学学院,兰州730000

出　　处：《兰州大学学报（自然科学版）》2012年第6期135-141,共7页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金项目(11032006;11121202)

摘　　要：采用电磁材料条带电磁极化饱和模型对反平面裂纹进行了理论分析.在电一磁塑性区内采用两种边界条件,即机械位移连续性条件和常切应力条件.每种条件又分为电塑性区大于和小于磁塑性区两种情形进行讨论.采用半逆解法求解,在机械位移连续性边界条件下,两种情形在裂纹顶端有相同的奇异性和局部J积分;而在常切应力边界条件下,两种情形都消除了力一电一磁奇异性,局部J积分也为0.另外当塑性区比较小时,两种边界条件求得的能量释放率相等.The anti-plane crack of the electromagnetic media with Strip Electric-Magnetic Polarization Saturation was analyzed and two types of boundary conditions were applied along the yielding zone：one being the continuity of mechanical displacement,the other is the constant shear stress.Each condition was divided into two cases：the electric yielding zone being greater or less than the magnetic yielding zone.By solving the electric-magnetic yielding zone obtained with the semi-inverse method,we found that the singularity and local J-integral of the two cases were the same at the crack tip under the continuity boundary condition of mechanical displacement.However,when applying the constant shear stress boundary condition,the crack tip had no singularity and the local J-integral was 0 for two cases.In addition,energy release rates obtained by the two boundary conditions were equal in a small yielding zone.

关 键 词：裂纹 电磁材料 SEMPS模型 电塑性区 磁塑性区 

分 类 号：O346.1[理学—固体力学]