考虑剪切非线性的复合材料渐进损伤模型

上海交通大学学报（自然版） ›› 2016, Vol. 50 ›› Issue (02): 194-199.

考虑剪切非线性的复合材料渐进损伤模型

刘魏光,余音,汪海

（上海交通大学航空航天学院民机结构强度综合实验室，上海 200240）

收稿日期:2015-03-17 出版日期:2016-02-29 发布日期:2016-02-29

A Damage Model Considering Shear Nonlinearity for Progressive Failure Analysis of Composite Laminates

LIU Weiguang,YU Yin,WANG Hai

(Laboratory of Civil Aircraft Structures Testing, School of Aeronautics and Astronautics, Shanghai Jiaotong University, Shanghai 200240, China)

Received:2015-03-17 Online:2016-02-29 Published:2016-02-29

摘要/Abstract

摘要： 摘要：针对具有明显剪切非线性的复合材料，提出了一种考虑剪切非线性影响、能够分析和预测复合材料层合板极限承载能力的损伤模型.采用RambergOsgood方程描述层合板剪切非线性的应力与应变本构关系，基于连续介质损伤理论建立了分析复合材料结构渐进损伤的三维有限元模型，采用已有的应变描述的三维Hashin失效准则和Ye分层失效准则预测其损伤起始，引入损伤状态变量来分析层合板的损伤扩展，通过UMAT子程序实现了损伤模型的模拟，并运用黏性正则化方法确保计算收敛.同时，将模型运用于AS4/PEEK复合材料开孔层合板渐进损伤实验的模拟分析.结果表明，模拟计算结果与实验结果较吻合，对比已有模型的预测结果，所提出的方法具有更高的准确性. 关键词：复合材料；剪切非线性；渐进损伤；拉伸强度中图分类号： TB 332文献标志码： A

Abstract: Abstract： A damage model considering the effect of shear nonlinearity was proposed to predict the ultimate load of laminated composites which exhibited significant shear nonlinearity. Shear nonlinearity constitutive relations for the laminates were defined with the RambergOsgood equation. Based on continuum damage mechanics, a three dimensional FE model for damage analysis of composite materials was established. The onset of the damage of composite laminates was modeled with 3D Hashin’s initiation criterion and Ye criterion. The damage index was applied to analyze the damage extension. The model was implemented with a UMAT subroutine. The convergence was improved by using the viscous regularization method. The model was applied to the progressive failure analysis of notched AS4/PEEK composite laminates. Simulation results agreed well with the experimental date, which indicated that the proposed model had a better accuracy than the model published.

Key words: Key words： composite materials, shear nonlinearity, progressive damage, tensile strength

刘魏光,余音,汪海. 考虑剪切非线性的复合材料渐进损伤模型[J]. 上海交通大学学报（自然版）, 2016, 50(02): 194-199.

LIU Weiguang,YU Yin,WANG Hai. A Damage Model Considering Shear Nonlinearity for Progressive Failure Analysis of Composite Laminates[J]. Journal of Shanghai Jiaotong University, 2016, 50(02): 194-199.

参考文献

［1］CROUCH R D, CLAY S B, OSKAY C. Experimental and computational investigation of progressive damage accumulation in CFRP composites［J］. Composites Part B: Engineering, 2013, 48: 5967. ［2］王跃全, 童明波, 朱书华. 基于CDM的复合材料层合板三维非线性渐进损伤分析［J］. 南京航空航天大学学报, 2009, 41(6): 709714. WANG Yuequan, TONG Mingbo, ZHU Shuhua. Threedimensional nonlinear progressive damage analysis on composite laminates based on continuum damage mechanics［J］. Journal of Nanjing University of Aeronautics and Astronautics, 2009, 41(6): 709714. ［3］MEER F P V D, SLUYS L J. Continuum models for the analysis of progressive failure in composite laminates［J］. Journal of Composite Materials, 2009, 43(20):21312156. ［4］胡祎乐, 余音, 汪海, 等. 纤维增强复合材料机翼长桁压缩破坏预测方法［J］. 上海交通大学学报, 2012, 46(9): 14711475. HU Yile, YU Yin, WANG Hai, et al. A failure prediction method of fiberreinforced composite wing stringer subjected to compressive loading［J］. Journal of Shanghai Jiaotong University, 2012, 46(9): 14711475. ［5］WANG J, CALLUS P J, BANNISTER M K. Experimental and numerical investigation of the tension and compression strength of unnotched and notched quasiisotropic laminates［J］. Composite Structures, 2004, 64(3): 297306. ［6］MAKEEV A, HE Y, CARPENTIER P, et al. A method for measurement of multiple constitutive properties for composite materials［J］. Composites Part A: Applied Science and Manufacturing, 2012, 43(12): 21992210. ［7］MAA R H, CHENG J H. A CDMbased failure model for predicting strength of notched composite laminates［J］. Composites Part B: Engineering, 2002, 33(6): 479489. ［8］CHEN J F, MOROZOV E V, SHANKAR K. A combined elastoplastic damage model for progressive failure analysis of composite materials and structures［J］. Composite Structures, 2012, 94(12): 34783489. ［9］BOGETTI T A, HOPPEL C P R, HARIK V M, et al. Predicting the nonlinear response and progressive failure of composite laminates［J］. Composites Science and Technology, 2004, 64(3): 329342. ［10］HASHIN Z. Failure criteria for unidirectional fiber composites［J］. Journal of Applied Mechanics, 1980, 47(2): 329334. ［11］YE L. Role of matrix resin in delamination onset and growth in composite laminates［J］. Composites Science and Technology, 1988, 33(4): 257277. ［12］BLACKLOCK J R, Richard R M. Finite element analysis of inelastic structures［J］. AIAA Journal, 1969, 7(3): 432438. ［13］HUANG C H, LEE Y J. Experiments and simulation of the static contact crush of composite laminated plates［J］. Composite Structures, 2003, 61(3): 265270. ［14］LINDE P, PLEITNER J, De BOER H, et al. Modelling and simulation of fibre metal laminates［C］∥ABAQUS Users’ Conference. USA, Boston: ABAQUS Inc，2004: 421439. ［15］VOGLER T J, KYRIAKIDES S. Inelastic behavior of an AS4/PEEK composite under combined transverse compression and shear. Part I: Experiments［J］. International Journal of Plasticity, 1999, 15(8): 783806. ［16］SHAHID I, SUN H T, CHANG F K. Predicting scaling effect on the notched strength of prepreg and fiber towplaced laminated composites［J］. Journal of Composite Materials, 1995, 29(8): 10631095.