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

Abstract

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

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.

References

［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.

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