EI、Scopus 收录
中文核心期刊
Volume 52 Issue 3
Jun.  2020
Turn off MathJax
Article Contents
Xu Can, Zhu Ping, Liu Zhao, Tao Wei. RESEARCH ON MULTISCALE STOCHASTIC MECHANICAL PROPERTIES PREDICTION OF PLAIN WOVEN CARBON FIBER COMPOSITES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(3): 763-773. doi: 10.6052/0459-1879-20-002
Citation: Xu Can, Zhu Ping, Liu Zhao, Tao Wei. RESEARCH ON MULTISCALE STOCHASTIC MECHANICAL PROPERTIES PREDICTION OF PLAIN WOVEN CARBON FIBER COMPOSITES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(3): 763-773. doi: 10.6052/0459-1879-20-002

RESEARCH ON MULTISCALE STOCHASTIC MECHANICAL PROPERTIES PREDICTION OF PLAIN WOVEN CARBON FIBER COMPOSITES

doi: 10.6052/0459-1879-20-002
  • Received Date: 2020-01-02
  • Publish Date: 2020-06-10
  • Plain woven carbon fiber composites have multi-scale characteristics and spatial randomness in structure. Meanwhile, the mechanical properties of the component materials vary due to different storage conditions, composition phase components and batches. When the stochastic mechanical properties of plain woven carbon fiber composites are predicted with considering of the parameter uncertainty at different scales, there are two main difficulties: first, the large number of random variables makes the accuracy and efficiency of the uncertainty propagation method required; second, a high-precision correlation model is needed to be established because of multi-dimensional correlations. To solve above problems, this paper proposes a multi-scale prediction method based on polynomial chaos expansion and vine Copula for the stochastic mechanical properties of plain woven composites. The random parameters of materials and structures at the microscopic and mesoscopic scales of the plain woven composites are taken into account, and the uncertainties of mechanical properties are studied scale by scale based on the bottom-up hierarchical propagation strategy. In this method, Vine Copula theory is used to construct the multi-dimensional joint probability distribution of correlated random variables, and the non-embedded polynomial chaos expansion is used to realize uncertainty propagation. Results show that the correlation coefficients of the dependence model constructed by the proposed method are almost the same as that of original data and the stochastic prediction of mechanical properties at different scales are realized efficiently and accurately.

     

  • loading
  • 李伟, 方国东, 李玮洁等. 碳纤维增强复合材料微观烧蚀行为数值模拟. 力学学报, 2019, 51(3): 835-844
    (Li Wei, Fang Guodong, Li Weijie, et al.Numerical simulation of micro-ablation behavior for carbon fiber reinforced composites. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(3): 835-844 (in Chinese))
    郝大贤, 王伟, 王琦珑等. 复合材料加工领域机器人的应用与发展趋势. 机械工程学报, 2019, 55(3): 14-30
    (Hao Daxian, Wang Wei, Wang Qilong, et al.Applications and development trend of robotics in composite material process. Journal of Mechanical Engineering, 2019, 55(3): 14-30 (in Chinese))
    Tao W, Liu Z, Zhu P, et al.Multi-scale design of three dimensional woven composite automobile fender using modified particle swarm optimization algorithm. Composite Structures, 2017, 181: 73-83
    王琥, 李启迪, 李光耀. 变刚度复合材料结构设计方法及不确定性分析研究进展. 机械工程学报, 2019, 55(8): 46-55
    (Wang Hu, Li Qidi, Li Guangyao.Review on structure design and uncertainty analysis of variables stiffness composites. Journal of Mechanical Engineering, 2019, 55(8): 46-55 (in Chinese))
    邬晓敬, 张伟伟, 宋述芳等.翼型跨声速气动特性的不确定性及全局灵敏度分析.力学学报, 2015, 47(4): 587-595
    (Wu Xiaojing, Zhang Weiwei, Song Shufang, et al.Uncertainty quantification and global sensitivity analysis of transonic aerodynamics about airfoil. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(4): 587-595 (in Chinese))
    Bostanabad R, Liang B, Gao JY, et al.Uncertainty quantification in multiscale simulation of woven fiber composites. Computer Methods in Applied Mechanics and Engineering, 2018, 389: 506-532
    陈倩, 张汉哲, 吴钦等. 复合材料水翼水动力与结构强度特性数值研究. 力学学报, 2019, 51(5): 1350-1362
    (Chen Qian, Zhang Hanzhe, Wu Qin, et al.The numerical investifation on hydrodynamic and structural strength of a composite hydrofoil. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1350-1362 (in Chinese))
    李乐. 开裂孔隙材料渗透率的细观力学模型研究. 力学学报, 2018, 50(5): 1032-1040
    (Li Le.Permeability of microcracked porous solids through a micromechanical model. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(5): 1032-1040 (in Chinese))
    Chen ZX, Huang TY, Shao YM, et al.Multiscale finite element modeling of sheet molding compound (SMC) composite structure based on stochastic mesostructured reconstruction. Composite Structures, 2018, 188: 25-38
    潘斌, 张桂明, 孙子恒等. 基于细观力学的大开孔层合板缝合补强力学性能计算的新方法. 复合材料学报, 2019, 36(6): 1447-1456
    (Pan Bin, Zhang Guiming, Sun Ziheng, et al.A new method for calculating of stitching reinforcement for composite laminates containing a large circular hole based on micromechanics. Acta Materiae Compositae Sinica, 2019, 36(6): 1447-1456 (in Chinese))
    Omairey SL, Dunnig PD, Sriramula S.Multiscale surrogate-based framework for reliability analysis of unidirectional FRP composites. Composite Part B, 2019, 173: 106925
    Liu Z, Zhu C, Zhu P.Generation of random fiber distribution for unidirectional fiber reinforced composites based on particle swarm optimizer. Polymer Composites, 2019, 40(4): 1643-1653
    Yang L, Yan Y, Ran Z, et al.A new method for generating random fiber distributions for fiber reinforced composites. Composites Science and Technology, 2013, 76: 14-20
    Zhang T, Yan Y.A comparison between random model and periodic model for fiber-reinforced composites based on a new method for generating fiber distributions. Polymer Composites, 2017, 38(1): 77-86
    Bale H, Blacklock M, Begley MR, et al.Characterizing three-dimensional textile ceramic composites using synchrotron x-ray micro-computed-tomography. Journal of the American Ceramic Society, 2012, 95(1): 392-402
    Blacklock M, Bale H, Begley M, et al.Generating virtual textile composite specimens using statistical data from micro-computed tomography: 1D tow representations for the Binary Model. Journal of the Mechanics and Physics of Solids, 2012, 60(3): 451-470
    Zhu C, Zhu P, Liu Z.Uncertainty analysis of mechanical properties of plain woven carbon fiber reinforced composite via stochastic constitutive modeling. Composite Structures, 2019, 207: 684-700
    Chakraborty S, Mandal B, Chowdhury R, et al.Stochastic free vibration analysis of laminated composite plates using polynomial correlated function expansion. Composite Structures, 2016, 135: 236-249
    Stefanou G, Savvas D, Papadrakakis M.Stochastic finite element analysis of composite structures based on material microstructure. Composite Structures, 2015, 132: 384-389
    Cui XY, Hu XB, Zen Y.A Copula-based perturbation stochastic method for fiber-reinforced composite structures with correlations. Computer Methods in Applied Mechanics and Engineering, 2017, 322: 351-372
    Mehrez L, Fish J, Aitharaju V, et al.A PCE-based multiscale framework for the characterization of uncertainties in complex systems. Computational Mechanics, 2018, 61: 219-236
    Xu C, Liu Z, Tao W, et al.A vine Copula-based hierarchical framework for multiscale uncertainty analysis. ASME Journal of Mechanical Design, 2020, 142(3): 031101
    Deng Y, Chen XH, Wang H, et al.A multi-scale correlating model for predicting the mechanical properties of tri-axial braided composites. Journal of Reinforced Plastics and Composites, 2013, 32(24): 1934-1955
    Chamis C.Simplified composite micromechanics equations for strength, fracture toughness, impact resistance and environmental effects. DTIC Document, 1984
    ASTM D638-14. Standard Test Method for Tensile Properties of Plastics
    ASTM D7078/D7078M. Standard Test Method for Shear Properties of Composite Materials by V-Notched Rail Shear Method
    Blatman G, Sudret B.Adaptive sparse polynomial chaos expansion based on least angle regression. Journal of Computational Physics, 2011, 230(6): 2345-2367
    赵珂, 高正红, 黄江涛等. 基于PCE方法的翼型不确定性分析及稳健设计. 力学学报, 2014, 46(1): 10-19
    (Zhao Ke, Gao Zhenghong, Huang Jiangtao, et al.Uncertainty quantification and robust design of airfoil based on polynomial chaos technique. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(1): 10-19 (in Chinese))
    唐新姿, 王效禹, 袁可人等. 风速不确定性对风力机气动力影响量化研究. 力学学报, 2020, 52(1): 51-59
    (Tang Xinzi, Wang Xiaoyu, Yuan Keren, et al.Quantitation study of influence of wind speed uncertainty on aerodynamic forces of wind turbine. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(1): 51-59 (in Chinese))
    刘杰, 许灿, 李凡等. 基于$\lambda $-PDF和一次二阶矩的不确定性反求方法. 机械工程学报, 2015, 51(20): 135-143
    (Liu Jie, Xu Can, Li Fan, et al.Uncertain inverse method based on $\lambda $-PDF and first order second moment. Journal of Mechanical Engineering, 2015, 51(20): 135-143 (in Chinese))
    Liu J, Meng XH, Xu C, et al.Forward and inverse structural uncertainty propagations under stochastic variables with arbitrary probability distributions. Computer Methods in Applied Mechanics and Engineering, 2018, 342: 287-320
    周春晓, 汪锐琼, 聂肇坤等. 基于最大熵方法的水下航行体结构动力响应概率建模. 力学学报, 2018, 50(1): 114-123
    (Zhou Chunxiao, Wang Ruiqiong, Nie Zhaokun, et al.Probabilistic modelling of dynamic response of underwater vehicle structure via maximum entropy method. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(1): 114-123 (in Chinese))
    梁超锋, 刘铁军, 邹笃建等. 材料黏滞系数与损耗因子的频率相关性研究. 力学学报, 2012, 44(5): 933-937
    (Liang Chaofeng, Liu Tiejun, Zou Dujian, et al.The frequency-dependent study on viscosity coefficient and loss tangent of viscoelastic materials. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(5): 933-937 (in Chinese))
    Jiang C, Zhang W, Han X, et al.A vine-Copula based reliability analysis method for structures with multidimensional correlation. ASME Journal of Mechanical Design, 2015, 137: 061405
    王攀, 张磊刚, 吕震宙等. 基于Copula函数的失效概率灵敏度分解方法. 机械工程学报, 2018, 54(16): 178-185
    (Wang Pan, Zhang Leigang, Lu Zhenzhou, et al.Sensitivity decomposition approach of failure probability based on Copula function. Journal of Mechanical Engineering, 2018, 54(16): 178-185 (in Chinese))
    Bedford BT, Cooke RM.Vines-a new graphical model for dependent random variables. The Annals of Statistics, 2002, 30(4): 1031-1068
    Huang XZ, Liu Y, Zhang YM, et al.Reliability analysis of structures using stochastic response surface method and saddlepoint approximation. Structural and Multidisciplinary Optimization, 2017, 55: 2003-2012
    Dissman J, Brechmann EC, Czado C, et al.Selecting and estimating regular vine Copulae and application to financial returns. Computational Statistics and Data Analysis, 2013, 59: 52-69
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1243) PDF downloads(176) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return