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针对多铁性复合材料谐振断裂力学问题,建立了谐振条件下多铁性层合柱动态断裂力学模型,然后应用分离变量法、无穷级数法、奇异积分方程和Lobatto-Chebyshev配点法研究了其谐振断裂行为,最后分析了压电系数、压磁系数、介电常数以及磁导率对应力强度因子(Stress Intensity Factor,SIF)一阶共振行为的影响。结果表明:在上述电/磁特性参数中,影响多铁性层合柱共振断裂行为的只有压电材料中的电特性参数和压磁材料中的磁特性参数。研究结果为多铁性智能器件的防断裂的优化设计提供了参考。
A dynamic fracture mechanics model of multiferroic laminated pillars under resonant condition was established for the problem of mechanical resonance fracture of multiferroic composites. Then the discrete variable method, infinite series method, singular integral equation and the collocation method of Lobatto-Chebyshev The influence of piezoelectric coefficient, piezomagnetic coefficient, dielectric constant and permeability on the first-order resonance behavior of stress intensity factor (SIF) was analyzed. The results show that only the electrical characteristics of the piezoelectric material and the magnetic properties of the piezomagnetic material are affected by the above-mentioned electrical / magnetic properties parameters. The results provide a reference for the optimization design of anti-fracture of multi-iron intelligent devices.