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- 2017
纤维增强复合材料层合板缺口尺寸及形状效应数值模拟
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Abstract:
通过考虑基体裂纹、纤维断裂、层内劈裂和层间脱层等破坏形式,建立三维有限元模型研究含中心圆孔和中心裂缝的准各向同性复合材料层合板([45/0/-45/90]2S)在拉伸载荷下的缺口尺寸效应及缺口形状效应。模拟结果显示:随着缺口尺寸的增大,层合板的破坏强度逐渐降低,然而,在本文研究范围内含中心裂缝的层合板破坏强度始终高于对应的含中心圆孔的层合板破坏强度。进一步分析有限元模拟结果表明,含中心裂缝的层合板亚临界损伤发生得更早,并且亚临界损伤范围更大,亚临界损伤会大大缓解缺口尖端的应力集中,从而使含中心裂缝层合板表现出更高的破坏强度。 A 3D finite element model was developed in this work by considering damage modes like matrix cracking, fiber breakage, intra-ply splitting and inter-ply delamination. The notch size effect and notch shape effect of tensile quasi-isotropic composite laminates ([45/0/-45/90]2S) with central holes and central cracks were studied by the finite element model. The simulation results indicate that the damage strength of the laminates decreases with the increasing of notch size. However, the laminates with central cracks always show higher damage strengths than those with corresponding central holes for the laminates studied in this paper. A further investigation of the finite element simulation results shows that subcritical damage forms earlier in cracked laminates with larger subcritical damage zones. The subcritical damage will significantly alleviate the stress concentration at the notch tip, and therefore make the cracked laminates exhibit higher damage strengths.
[1] | 沈观林, 胡更开, 刘彬. 复合材料力学[M]. 第2版. 北京:清华大学出版社, 2013:178-185. SHEN G L, HU G K, LIU B. Mechanics of composite materials[M]. 2nd ed. Beijing:Tsinghua University Press, 2013:178-185 (in Chinese). |
[2] | WHITNEY J M, NUISMER R J. Stress fracture criteria for laminated composites containing stress concentrations[J]. Journal of Composite Materials, 1974, 8(3):253-265. |
[3] | CAMANHO P P, MATTHEWS F L. A progressive damage model for mechanically fastened joints in composite laminates[J]. Journal of Composite Materials, 1999, 33(24):2248-2280. |
[4] | MAIMí P, CAMANHO P P, MAYUGO J A, et al. A continuum damage model for composite laminates Part I:Constitutive model[J]. Mechanics of Materials, 2007, 39(10):897-908. |
[5] | MAIMí P, CAMANHO P P, MAYUGO J A, et al. A continuum damage model for composite laminates Part Ⅱ:Computational implementation and validation[J]. Mechanics of Materials, 2007, 39(10):909-919. |
[6] | 关志东, 黎增山, 刘德博, 等. 复合材料层板开孔压缩损伤分析[J]. 复合材料学报, 2012, 29(3):167-172. GUAN Z D, LI Z S, LIU D B, et al. Damage analysis on open-hole compression of composite laminates[J]. Acta Materiae Compositae Sinica, 2012, 29(3):167-172 (in Chinese). |
[7] | ABISSET E, DAGHIA F, LADEVZE P. On the validation of a damage mesomodel for laminated composites by means of open-hole tensile tests on quasi-isotropic laminates[J]. Composites Part A:Applied Science and Manufacturing, 2011, 42(10):1515-1524. |
[8] | XU X, WISNOM M R, LI X, et al. A numerical investigation into size effects in centre-notched quasi-isotropic carbon/epoxy laminates[J]. Composites Science and Technology, 2015, 111:32-39. |
[9] | XU X, WISNOM M R, MAHADIK Y, et al. An experimental investigation into size effects in quasi-isotropic carbon/epoxy laminates with sharp and blunt notches[J]. Composites Science and Technology, 2014, 100:220-227. |
[10] | 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. |
[11] | TAN J L Y, DESHPANDE V S, FLECK N A. Failure mechanisms of a notched CFRP laminate under multi-axial loading[J]. Composites Part A:Applied Science and Manufacturing, 2015, 77:56-66. |
[12] | 韩小平, 郭章新, 朱西平, 等. 含孔复合材料层合板孔边的应力集中[J]. 复合材料学报, 2009, 26(01):168-173. HAN X P, GUO Z X, ZHU X P, et al. Stress distribution near the opening and stress concentration for composite laminates with a circular opening[J]. Acta Materiae Compositae Sinica, 2009, 26(1):168-173 (in Chinese). |
[13] | HALLETT S R, WISNOM M R. Experimental investigation of progressive damage and the effect of layup in notched tensile tests[J]. Journal of Composite Materials, 2006, 40(2):119-141. |
[14] | IARVE E V, MOLLENHAUER D, KIM R. Theoretical and experimental investigation of stress redistribution in open hole composite laminates due to damage accumulation[J]. Composites Part A:Applied Science and Manufacturing, 2005, 36(2):163-171. |
[15] | SONG K, LI Y, ROSE C A. Continuum damage mechanics models for the analysis of progressive failure in open-hole tension laminates[C]//52nd AIAA Structures Structural Dynamics and Materials Conference, 2011, 1861:1-18. |
[16] | SODEN P D, HINTON M J, KADDOUR A S. Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates[J]. Composites Science and Technology, 1998, 58(7):1011-1022. |
[17] | HASHIN Z. Failure criteria for unidirectional fiber composites[J]. Journal of Applied Mechanics, 1980, 47(2):329-334. |
[18] | 杜善义. 先进复合材料与航空航天[J]. 复合材料学报, 2007, 24(01):1-12. DU S Y. Advanced composite materials and aerospace engineering[J]. Acta Materiae Compositae Sinica, 2007, 24(01):1-12 (in Chinese). |
[19] | 赵丽滨, 秦田亮, 山美娟, 等. 基于渐进损伤分析的复合材料螺栓连接强度包线法研究[J]. 复合材料学报, 2015, 32(3):823-830. ZHAO L B, QIN T L, SHAN M J, et al. Progressive damage analysis based strength envelope method for composite bolted joints[J]. Acta Materiae Compositae Sinica, 2015, 32(3):823-830 (in Chinese). |
[20] | 赵丽滨, 山美娟, 彭雷, 等. 制造公差对复合材料螺栓连接结构强度分散性的影响[J]. 复合材料学报, 2015, 32(4):1092-1098. ZHAO L B, SHAN M J, PENG L, et al. Effect of manufacturing tolerance on strength scatter of composite bolted joint structure[J]. Acta Materiae Compositae Sinica, 2015, 32(4):1092-1098 (in Chinese). |
[21] | 鲍宏琛, 刘广彦. 准各向同性复合材料层合板的开孔拉伸破坏模拟[J]. 复合材料学报, 2016, 33(5):1026-1032. BAO H C, LIU G. Simulation on damage in quasi-isotropic composite laminates under open-hole tension[J]. Acta Materiae Compositae Sinica, 2016, 33(5):1026-1032 (in Chinese). |
[22] | DANIEL I M. Strain and failure analysis of graphite/epoxy plates with cracks[J]. Experimental Mechanics, 1978, 18(7):246-252. |
[23] | GREEN B G, WISNOM M R, HALLETT S R. An experimental investigation into the tensile strength scaling of notched composites[J]. Composites Part A:Applied Science and Manufacturing, 2007, 38(3):867-878. |
[24] | HALLETT S R, GREEN B G, JIANG W G, et al. The open hole tensile test:A challenge for virtual testing of composites[J]. International Journal of Fracture, 2009, 158(2):169-181. |
[25] | HALLETT S R, GREEN B G, JIANG W G, et al. An experimental and numerical investigation into the damage mechanisms in notched composites[J]. Composites Part A:Applied Science and Manufacturing, 2009, 40(5):613-624. |
[26] | CHEN B Y, TAY T E, BAIZ P M, et al. Numerical analysis of size effects on open-hole tensile composite laminates[J]. Composites Part A:Applied Science and Manufacturing, 2013, 47(1):52-62. |
[27] | SWINDEMAN M J, IARVE E V, BROCKMAN R A, et al. Strength prediction in open hole composite laminates by using discrete damage modeling[J]. AIAA Journal, 2013, 51(4):936-945. |
[28] | 黄争鸣, 张华山. 纤维增强复合材料强度理论的研究现状与发展趋势——"破坏分析奥运会"评估综述[J]. 力学进展, 2007, 37(01):80-98. HUANG Z M, ZHANG H S. Current status and future trend of researches on the strength of fiber-reinforced composites-Summary of the results from a "failure Olympics"[J]. Advances in Mechanics, 2007, 37(01):80-98 (in Chinese). |
[29] | WADDOUPS M E, EISENMANN J R, KAMINSKI B E. Macroscopic fracture mechanics of advanced composite materials[J]. Journal of Composite Materials, 1971, 5(4):446-454. |
[30] | 黎增山, 关志东, 何为, 等. 复合材料层板开孔拉伸损伤分析[J]. 复合材料学报, 2012, 29(01):169-175. LI Z S, GUAN Z D, HE W, et al. Damage analysis on open-hole tension of composite laminates[J]. Acta Materiae Compositae Sinica, 2012, 29(1):169-175 (in Chinese). |
[31] | LIU G, TANG K. Study on stress concentration in notched cross-ply laminates under tensile loading[J]. Journal of Composite Materials, 2016, 50(3):283-296. |
[32] | TSAI J L, CHEN C W. Characterizing tensile strength of notched cross-ply and quasi-isotropic composite laminates[J]. Journal of the Chinese Institute of Engineers, 2009, 32(3):327-332. |