摘要
本文研究了反平面机械载荷、面内电载荷和面内磁载荷作用下磁电弹材料中含有纳米尺度孔边任意位置贯穿裂纹的Ⅲ型断裂力学性能.基于Gurtin-Murdoch表面弹性理论考虑纳米缺陷(孔洞和裂纹)的表面效应,利用磁电弹理论和复变弹性理论获得了纳米缺陷表面为磁电不可通条件下磁电弹场的精确解,给出了贯穿裂纹两端裂尖的磁电弹场强因子的解析表达.所得结果与已有研究比较说明了本文方法的有效性.讨论了裂纹位置、裂纹相互作用与施加多物理场载荷对无量纲磁电弹场强因子的影响.结果表明:贯穿裂纹裂尖的无量纲磁电弹场强因子尺寸效应显著;缺陷表面效应对裂纹耦合尖端场的影响受裂纹位置的制约;无量纲磁电弹场强因子受贯穿裂纹两端的裂纹长度比与施加力电磁载荷的显著影响.
With the development of engineering technology and materials science,pure elastic materials can no longer meet the application needs of materials in industrial manufacturing.Magneto-electro-elastic(MEE)materials have more complex internal structures compared to classical elastic materials,and the methods for solving mechanical and physical performance are more difficult compared to classical elastic materials.Therefore,the mode III fracture behavior of MEE materials with nano-defects(pores and cracks)is investigated in this study.Based on the Gurtin-Murdoch surface theory and conformal mapping theory,the mode III fracture properties of MEE materials containing an arbitrary-location through crack emanating from a nano-hole under anti-plane mechanical loading,in-plane electrical loading,and in-plane magnetic loading are studied.The accurate solution of the MEE field in the matrix is obtained using the MEE theory and the far-field loading conditions.Analytical expressions for the MEE field intensity factors of the tips at both ends of the through crack,assuming that the surface of nano-defects is magneto-electric impermeable,are given.The proposed method is validated through a comparison with existing research.The effects of crack location,crack interaction,and the application of multiple physical loads on the dimensionless MEE field strength factors are discussed.The results show that the dimensionless MEE field intensity factors exhibit a significant size effect.The surface effect of nano-defects on the MEE tip fields of the cracks is constrained by the crack location.The dimensionless MEE field intensity factors are significantly affected by the ratio of the through crack length to the applied MEE loads.The results obtained in this study provide a theoretical basis for the experiments and numerical simulations of the mode III fracture behavior of an arbitrary-location through crack emanating from a nano-hole in MEE materials.
作者
肖俊华
信玉岩
Junhua Xiao;Yuyan Xin(Department of Engineering Mechanics,Yanshan University,Qinhuangdao,066004;Hebei Key Laboratory of Mechanical Reliability for Heavy Equipments and Large Structures,Yanshan University,Qinhuangdao,066004)
出处
《固体力学学报》
CAS
CSCD
北大核心
2024年第1期61-73,共13页
Chinese Journal of Solid Mechanics
基金
河北省自然科学基金(A2022203025)
河北省高等学校科学技术研究重点项目(ZD2021104)资助.
关键词
磁电弹性材料
纳米尺度多缺陷
孔边贯穿裂纹
尺寸效应
裂纹位置
MEE materials
multiple nano-defects
through crack emanating from nano-hole
size effect
crack location
