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基于改进型近场动力学方法的复合材料单向板变形与破坏分析
秦洪远,李玲,王伟,许波凯,郑印
上海复合材料科技有限公司,上海 201112
摘要:
针对复合材料单向板的变形与破坏问题,采用经典的键型近场动力学(Peridynamics, PD)理论进行建模分析,利用基体键与纤维键描述单向板宏观各向异性,同时在基体键中引入反映长程力尺寸效应的核函数修正项改进近场动力学本构模型,构建相应的准静态数值求解体系。使用传统PD模型与改进型PD模型对单轴拉伸单向板变形进行定量计算,二者所得计算结果较理论解相对误差分别为3.5%和1.7%,表明改进型PD模型具有更高的定量计算精度。开展含不同角度中心裂纹单向板单轴拉伸破坏试验与数值模拟,二者所得单向板最终破坏形式与破坏特点均吻合,表明当前模型与方法能够有效处理单向板的破坏问题。最后对纤维角度为0°单向板的拉伸破坏过程展开模拟分析,结果表明单向板在前期主要出现基体开裂,当裂纹扩展至夹持区域后,结构出现纤维断裂,最终形成贯穿整个结构的断面导致单向板发生破坏。
关键词:  近场动力学  复合材料单向板  宏观各向异性  核函数  破坏
DOI:10.12044/j.issn.1007-2330.2020.04.004
分类号:TB332
基金项目:
An Extended Peridynamic Approach for Deformation and Destruction Analysis of Composite Unidirectional Lamina
QIN Hongyuan, LI Ling, WANG Wei, XU Bokai, ZHENG Yin
Shanghai Composite Technology Co.,Ltd.,Shanghai 201112
Abstract:
To analyze the deformation and failure of composite unidirectional plate,an extended bond-based peridynamic constitutive model was proposed by PD theory.The macroscopic anisotropy of unidirectional plate was described through matrix bonds and fiber bonds,and a kernel function reflecting the internal length effect of long-range forces between material points was implemented into matrix bonds to improve the accuracy of quantitative calculation.Quasi-static numerical system in peridynamics was built correspondingly.Then,the presented model was verified through the quantitatively calculating of deformation in the unidirectional lamina under uniaxial tension with traditional peridynamic constitutive model,where the relative error of two models is 1.7% and 3.5%,respectively.There is a higher accuracy of quantitative calculation in the presented model.Numerical simulations and experiments were developed about composite unidirectional lamina with a central crack subjected to uniaxial tension,and numerical results agree well with experimental observations.The studies indicate the presented peridynamic constitutive model can successfully simulate the deformation and destruction of composite unidirectional lamina.Finally,this model is applied to analyze failure behaviors of unidirectional plates with the fiber angle of 0°.The results show that the matrix cracks mainly propagate in early stage,and when cracks extend to the clamping area, the fibers of structure are broken.In the last,a cross section through the whole structure is formed and lead to the failure of unidirectional lamina.
Key words:  Peridynamics  Composite unidirectional plate  Macroscopic anisotropy  Kernel function  Failure