摘要
海洋防腐涂层服役于极端海洋环境,褶皱是其损伤破坏的主要形式之一.明晰防腐涂层的褶皱失效机理,有助于优化涂层的结构设计,延长其服役寿命.基于海洋防腐涂层力化耦合的服役环境,考虑涂层褶皱失效的精确大变形几何关系.本文建立了一种弯曲-屈曲耦合力学模型,应用摄动法求解了涂层非线性直边屈曲与后屈曲问题;分析了与挠度方向相反的横向弯曲载荷作用下,腐蚀性物质扩散引发的涂层屈曲载荷与涂层最大挠度的函数关系,讨论了静水压与涂层纵横比对后屈曲行为的影响,精确给出了褶皱涂层中轴力、挠度和截面转角的分布规律;最后对比分析了基于冯·卡门假设的理论预测.结果发现:随着屈曲载荷的增大,冯·卡门假设的理论模型将逐渐低估涂层几何大变形的非线性影响,获得偏小的最大挠度.
Marine anti-corrosion coatings are subjected to extreme marine environments,where wrinkling is one of the primary forms of damage and failure.Understanding the wrinkling failure mechanism of anti-corrosion coatings is helpful for optimizing their structural design and extending their service life.Based on the chemo-mechanical coupling environment of marine anti-corrosion coatings,and considering the precise geometric relationship of large deformation associated with coating wrinkling failure,this paper establishes a bending-buckling coupled mechanical model,and employs perturbation methods to solve the nonlinear straight-sided buckling and post-buckling problems of the coating.The study analyzes the functional relationship between the buckling load,induced by the diffusion of corrosive substances,and the maximum deflection of the coating,under transverse bending load opposite to the deflection direction.The effects of hydrostatic pressure and the coating's aspect ratio on post-buckling behavior are discussed.The distribution laws of axial force,deflection,and cross-sectional rotation angle of the wrinkled coating are precisely determined.Finally,a comparative analysis is conducted with theoretical predictions based on the Föppl-von Kármán(FvK)assumptions.The results reveal that as the buckling load increases,the theoretical model based on the FvK assumptions gradually underestimates the nonlinear effects of geometric large deformation of the coating,resulting in an underestimation of the maximum deflection.
作者
马良骥
刘明
彭志龙
姚寅
张博
陈少华
Ma Liangji;Liu Ming;Peng Zhilong;Yao Yin;Zhang Bo;Chen Shaohua(Institute of Advanced Structure Technology,Beijing Institute of Technology,Beijing 100081,China;Advanced Research Institute of Multi-Disciplinary Sciences,Beijing Institute of Technology,Beijing 100081,China;School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081,China)
出处
《力学学报》
北大核心
2025年第7期1618-1625,共8页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金(12032004,12293002,12102041,12472095)
航空科学基金(2024Z056072001)资助项目.
关键词
海洋防腐涂层
褶皱
几何大变形
弯曲-屈曲耦合模型
冯·卡门假设
marine anti-corrosion coatings
wrinkling
geometric large deformation
bending-buckling coupled model
Föppl-von Kármán assumption
