CAJ | 학술논문

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电磁奇异性,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.
채용전자재료조대전자겁화포화모형대반평면렬문진행료이론분석.재전자소성구내채용량충변계조건,즉궤계위이련속성조건화상절응력조건.매충조건우분위전소성구대우화소우자소성구량충정형진행토론.채용반역해법구해,재궤계위이련속성변계조건하,량충정형재렬문정단유상동적기이성화국부J적분;이재상절응력변계조건하,량충정형도소제료력 전자기이성,국부J 적분야위0.령외당소성구비교소시,량충변계조건구득적능량석방솔상등.
The anti-plane crack of the electromagnetic media with Strip Electric-Magnetic Polarization Sat-uration 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.