摘要
基于表面弹性理论,采用Gurtin-Murdoch理论与Schwarz映射,针对纳米磁电弹复合材料的尺度敏感断裂行为,构建正5n边形纳米孔中含有5条裂纹的多场耦合解析模型.利用复变函数方法推导出新的保角映射公式,并得到弹性场、电场和磁场场强度因子与能量释放率的解析解.针对不同的磁电弹材料,揭示表面效应和孔口尺寸在磁电非渗透边界条件下对场强度因子与能量释放率的影响.
Based on surface elasticity theory,the Gurtin-Murdoch theory and Schwarz mapping are adopted to establish a multi-field coupled analytical model for the size-sensitive fracture behavior of nano magnetoelectroelastic composites,which involves regular 5 n-sided nanopores containing 5 cracks.Using the complex function method,a new conformal mapping formula is derived,and analytical solutions for the field intensity factors and energy release rate of the elastic,electric,and magnetic fields are obtained.For different magnetoelectroelastic materials,the influences of surface effects and pore size on the field intensity factors and energy release rate under magneto-electric impermeable boundary conditions are revealed.
作者
王猛
黄如楷
WANG Meng;HUANG Rukai(School of Mathematics and Computer Science,Ningxia Normal University,Guyuan Ningxia 756099)
出处
《宁夏师范大学学报》
2026年第1期30-39,共10页
Journal of Ningxia Normal University
基金
宁夏自然科学基金项目(2024AAC03300).
关键词
磁电弹材料
纳米孔裂纹
表面弹性理论
多场强度因子
能量释放率
Magnetoelectroelastic material
Nanohole-edge crack
Surface elasticity theory
Multi-field intensity factor
Energy release rate
