含纤维波纹缺陷复合材料层合板的损伤分析
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摘要
纤维波纹是复合材料层合板制备过程中的一种常见缺陷,会导致其刚度和强度显著下降,有效地预测含波纹缺陷复合材料层合板的失效强度具有显著的意义。基于此,本文采用解析的方式分别构造了纤维波纹呈正弦起伏与余弦起伏状的复合材料层合板模型。利用该模型,以Tsai-Wu准则作为失效判据,研究了一种含纤维波纹的碳纤维/环氧树脂复合材料层合板在受压情况下的损伤演化过程,得到了碳纤维/环氧树脂复合材料层合板的初始损伤强度。与有限元方法计算得到的损伤位置和损伤强度非常吻合,验证了本文算法的正确性。另外,相比于有限元方法,本文所述计算方法具有模型构造简单、计算效率高等优点,便于快速分析和确定含纤维波纹缺陷复合材料层合板的损伤位置与损伤强度。
Fiber waviness is a common defect in the manufacturing process of composite laminate,which can decrease the stiffness and strength of composite structures.Effectively predict the failure strength of composite laminate with fiber waviness will produce positive effect.In this paper,an analysis method for calculating the failure strength of composite laminate that contain sine or cosine curved fiber waviness was presented.The failure strength was predicted based on laminated theory and Infinitesimal method using the previous model.In addition,Tsai-Wu's failure criterion was employed to calculating the initial strength damage for carbon fiber/epoxy resin composite laminate with fiber waviness.Comparison of the result of damage calculation between the analytical solutions and FEM results proves the accuracy of the method.The method presented in this paper has some advantages over FEM,such as less computation,easy formulation and modeling,higher computational efficiency,and is easy to quickly analyze and determine the damage location and damage strength of composite laminates with fiber waviness.
Fiber waviness is a common defect in the manufacturing process of composite laminate,which can decrease the stiffness and strength of composite structures.Effectively predict the failure strength of composite laminate with fiber waviness will produce positive effect.In this paper,an analysis method for calculating the failure strength of composite laminate that contain sine or cosine curved fiber waviness was presented.The failure strength was predicted based on laminated theory and Infinitesimal method using the previous model.In addition,Tsai-Wu's failure criterion was employed to calculating the initial strength damage for carbon fiber/epoxy resin composite laminate with fiber waviness.Comparison of the result of damage calculation between the analytical solutions and FEM results proves the accuracy of the method.The method presented in this paper has some advantages over FEM,such as less computation,easy formulation and modeling,higher computational efficiency,and is easy to quickly analyze and determine the damage location and damage strength of composite laminates with fiber waviness.
引文
[1]燕瑛.织物细观结构参数对编织复合材料弹性性能的影响[J].航空学报,1997,18(6):666-669.YAN Y.Effects of fabric micro-structural parameters on elastic properties of woven fabric reinforced composites[J].Acta Aeronautic et Astromautica Sinica,1997,18(6):666-669(in Chinese).
[2]燕瑛.编织复合材料弹性性能分析的细观力学模型[J].力学学报,1997,29(4):429-438.YAN Y.A micromechanical modal for elastic behavior analysis of woven fabric composites[J].Chinese Journal of Theoretical and Applided Mechanics,1997,29(4):429-438(in Chinese).
[3]吴维清,朱俊,王继辉,等.纤维波纹对复合材料层合板刚度影响研究[J].玻璃钢/复合材料,2015(12):41-47.WU W Q,ZHU J,WANG J H,et al.Effect of waviness defect on compressive behavior of composite laminates[J].Fiber Reinforced Plastics/Composites,2015(12):41-47(in Chinese).
[4]刘夏,杨庆生.三维网络碳纳米管增强环氧树脂复合材料的细观力学[J].复合材料学报,2012,29(3):173-178.LIU X,YANG Q S.Microscopic mechanical behavior of reticulate carbon nanotube reinforce epoxy composites[J].Acta Materiae Compositae Sinica,2012,29(3):173-178(in Chinese).
[5]刘娜,杨庆生,黄祎丰.碳基复合材料烧蚀性能的多尺度研究[J].航空制造技术,2015,472(3):86-91.LIU N,YANG Q S,HUANG Y F.Research on multi-scale modeling of carbon-based composites in ablation[J].Aeronautical Manufacturing Technology,2015,472(3):86-91(in Chinese).
[6]朱俊,吴维清,欧阳佳斯,等.面外波纹对复合材料层合板弹性性能的影响[J].复合材料学报,2016,33(9):1981-1988.ZHU J,WU W Q,OUYANG J S,et al.Influence of out-ofplane waviness on elastic properties of composite laminates[J].Acta Materiae Compositae Sinica,2016,33(9):1981-1988(in Chinese).
[7]吴维清,朱俊,王继辉,等.纤维波纹对复合材料层合板刚度影响研究[J].玻璃钢/复合材料,2015(12):41-47.WU W Q,ZHU J,WANG J H,et al.Effects of fiber waviness on the stiffness of composite laminates[J].Fiber Reinforced Plastics/Composites,2015(12):41-47(in Chinese).
[8]欧阳佳斯,倪爱清,朱俊,等.均一波纹单向复合材料板的力学性能研究[J].玻璃钢/复合材料,2016(3):38-43.OUYANG J S,NI A Q,ZHU J,et al.The mechanical behavior of unidirectional composite lamina with uniform waviness[J].Fiber Reinforced Plastics/Composites,2016(3):38-43(in Chinese).
[9] BOGETTI T A,GILLESPIE J W,LAMONTIA M A.Influence of ply waviness on the stiffness and strength reduction on composite laminates[J].Journal of Thermoplastic Composite Materials,1992(5):334-369.
[10] HSIAO H M,DANIEL I M.Effect of fiber waviness on stiffness and strength reduction of unidirectional composites under compressive loading[J].Composites Science and Technology,1996,56(5):581-593.
[11] HSIAO H M,WOOH S C,DANIEL I M.Fabrication methods for unidirectional and crossply composites with fiber waviness[J].Journal of Advanced Materials-Covina,1995,26(2):19-26.
[12] LEMANSHI S L,SUTCLIFFE M P F.Compressive failure of finite size unidirectional composite laminates with a region of fibre waviness[J].Composites Part A:Applied Science&Manufacturing,2012,43(3):435-444.
[13]刘瑞同,王鑫伟,荚淑萍.碳纤维-环氧树脂波纹梁吸能能力的试验研究[J].航空学报,2002,23(1):59-61.LIU R T,WANG X W,JIA S P.Experimental study on energy absorption of carbon-epoxy waved beams[J].Acta Aeronautic et Astromautica Sinica,2002,23(1):59-61(in Chinese).
[14]吴维清,朱俊,王继辉,等.波纹缺陷对复合材料层合板压缩力学性能影响研究[J].玻璃钢/复合材料,2015(9):87-92.WU W Q,ZHU J,WANG J H,et al.Effect of waviness defect on compressive behavior of composite laminates[J].Fiber Reinforced Plastics/Composites,2015(9):87-92(in Chinese).
[2]燕瑛.编织复合材料弹性性能分析的细观力学模型[J].力学学报,1997,29(4):429-438.YAN Y.A micromechanical modal for elastic behavior analysis of woven fabric composites[J].Chinese Journal of Theoretical and Applided Mechanics,1997,29(4):429-438(in Chinese).
[3]吴维清,朱俊,王继辉,等.纤维波纹对复合材料层合板刚度影响研究[J].玻璃钢/复合材料,2015(12):41-47.WU W Q,ZHU J,WANG J H,et al.Effect of waviness defect on compressive behavior of composite laminates[J].Fiber Reinforced Plastics/Composites,2015(12):41-47(in Chinese).
[4]刘夏,杨庆生.三维网络碳纳米管增强环氧树脂复合材料的细观力学[J].复合材料学报,2012,29(3):173-178.LIU X,YANG Q S.Microscopic mechanical behavior of reticulate carbon nanotube reinforce epoxy composites[J].Acta Materiae Compositae Sinica,2012,29(3):173-178(in Chinese).
[5]刘娜,杨庆生,黄祎丰.碳基复合材料烧蚀性能的多尺度研究[J].航空制造技术,2015,472(3):86-91.LIU N,YANG Q S,HUANG Y F.Research on multi-scale modeling of carbon-based composites in ablation[J].Aeronautical Manufacturing Technology,2015,472(3):86-91(in Chinese).
[6]朱俊,吴维清,欧阳佳斯,等.面外波纹对复合材料层合板弹性性能的影响[J].复合材料学报,2016,33(9):1981-1988.ZHU J,WU W Q,OUYANG J S,et al.Influence of out-ofplane waviness on elastic properties of composite laminates[J].Acta Materiae Compositae Sinica,2016,33(9):1981-1988(in Chinese).
[7]吴维清,朱俊,王继辉,等.纤维波纹对复合材料层合板刚度影响研究[J].玻璃钢/复合材料,2015(12):41-47.WU W Q,ZHU J,WANG J H,et al.Effects of fiber waviness on the stiffness of composite laminates[J].Fiber Reinforced Plastics/Composites,2015(12):41-47(in Chinese).
[8]欧阳佳斯,倪爱清,朱俊,等.均一波纹单向复合材料板的力学性能研究[J].玻璃钢/复合材料,2016(3):38-43.OUYANG J S,NI A Q,ZHU J,et al.The mechanical behavior of unidirectional composite lamina with uniform waviness[J].Fiber Reinforced Plastics/Composites,2016(3):38-43(in Chinese).
[9] BOGETTI T A,GILLESPIE J W,LAMONTIA M A.Influence of ply waviness on the stiffness and strength reduction on composite laminates[J].Journal of Thermoplastic Composite Materials,1992(5):334-369.
[10] HSIAO H M,DANIEL I M.Effect of fiber waviness on stiffness and strength reduction of unidirectional composites under compressive loading[J].Composites Science and Technology,1996,56(5):581-593.
[11] HSIAO H M,WOOH S C,DANIEL I M.Fabrication methods for unidirectional and crossply composites with fiber waviness[J].Journal of Advanced Materials-Covina,1995,26(2):19-26.
[12] LEMANSHI S L,SUTCLIFFE M P F.Compressive failure of finite size unidirectional composite laminates with a region of fibre waviness[J].Composites Part A:Applied Science&Manufacturing,2012,43(3):435-444.
[13]刘瑞同,王鑫伟,荚淑萍.碳纤维-环氧树脂波纹梁吸能能力的试验研究[J].航空学报,2002,23(1):59-61.LIU R T,WANG X W,JIA S P.Experimental study on energy absorption of carbon-epoxy waved beams[J].Acta Aeronautic et Astromautica Sinica,2002,23(1):59-61(in Chinese).
[14]吴维清,朱俊,王继辉,等.波纹缺陷对复合材料层合板压缩力学性能影响研究[J].玻璃钢/复合材料,2015(9):87-92.WU W Q,ZHU J,WANG J H,et al.Effect of waviness defect on compressive behavior of composite laminates[J].Fiber Reinforced Plastics/Composites,2015(9):87-92(in Chinese).
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