In this study, the effects of random laminate misalignment on the macroscopic and microscopic elastic/viscoplastic behaviors of ultrafine plate–fin structures are statistically investigated adopting Monte Carlo simulation. To this end, a multiscale method that analyzes the elastic–viscoplastic behavior of ultrafine plate–fin structures with random laminate misalignment both macroscopically and microscopically is proposed based on the homogenization theory for nonlinear time-dependent materials combined with the substructure method. Using the method, Monte Carlo simulations for elastic and elastic–viscoplastic behaviors of ultrafine plate–fin structures subjected to uniaxial tension or simple shear are performed for many cases of random laminate misalignment. The obtained results reveal that the random laminate misalignment affects the microscopic behavior of ultrafine plate–fin structures more than the macroscopic behavior; microscopic stress and viscoplastic strain exhibit considerable variability depending on the laminate misalignment, and their maximum values can become about 30–50% higher than those in the case without laminate misalignment. This suggests the importance of considering random laminate misalignment in the design and strength/life prediction of ultrafine plate–fin structures.

在这项研究中，采用蒙特卡洛模拟方法统计研究了随机层压板未对准对超细板翅结构宏观和微观弹性/粘塑性行为的影响。为此，基于非线性时变材料的均质化理论，结合子结构方法，提出了一种宏观和微观上分析层压板未对准的超细板-翅片结构的弹粘塑性行为的多尺度方法。使用该方法，对于许多随机层压板未对准的情况，对承受单轴拉伸或简单剪切作用的超细板翅结构的弹性和弹粘塑性行为进行了蒙特卡洛模拟。所得结果表明，层合板的无序排列对超细板翅结构的微观行为的影响大于对宏观行为的影响。微观应力和粘塑性应变表现出很大的可变性，具体取决于层压板未对准，并且其最大值比没有层压板未对准的情况下的最大值高约30–50％。这表明在超细板翅结构的设计和强度/寿命预测中考虑随机层压板未对准的重要性。