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·1402· 工程科学学报,第39卷,第9期 型本构方程和蠕变柔量表达式形式简单明了,参数个 (陈文,孙洪广,李西成.力学与工程问题的分数阶导数建 数适当,意义明确,能够较好地描述HFRP搭接接头的 模.北京:科学出版社,2010) 蠕变行为,为搭接接头的蠕变特性研究提供了一种简 [13]Zhang W M.On the best viscoelastic rheological model of solids. 单有效的分析方式. Natural Science J Xiangtan Univ,2001,23(2):31 (张为民.论最佳黏弹性固体流变模型.湘潭大学自然科学 学报,2001,23(2):31) 参考文献 [14]Wang J B,Liu X R,Wang T H.A nonlinear creep model for [1]Wang X,Zhou C.Ai J,et al.Flexural capacity of RC beam rocks based on modified fractional viscous body.I Centr South strengthened with prestressed C/AFRP sheets.Trans Nanjing Unis Unir Sci Technol,2015,46(4):1461 Aero&Astro,2013,30(2):202 (王军保,刘新荣,王铁行.基于改进分数阶黏滞体的岩石 [2]Dean G.Modeling non-linear creep behaviour of an epoxy adhe- 非线性蠕变模型.中南大学学报(自然科学版),2015,46 sive.Int J Adhes Adhes,2007,27(8):636 (4):1461) [3]Zhang J.Zhang YX,Yang J.Investigation on epoxy creep behav- [15]Chen H S,Li MM,Kang Y G.et al.Mittag-Leffler function iors at ambient and hygrothermal environment.Mechanical and its application to viscoelastic stress relaxation.Chem Chin Strength,2015,37(2):237 Unin,2008,29(6):1271 (张军,张永祥,杨军.环氧树脂胶湿热与室温环境下的蠕变 (陈宏善,李明明,康永刚,等.Mittag-Leffler函数及其在黏 行为研究.机械强度,2015,37(2):237) 弹性应力松弛中的应用.高等学校化学学报,2008,29(6): [4]Knight G A,Hou T H,Belcher M A,et al.Hygrothermal aging of 1271) composite single lap shear specimens comprised of AF-555M ad- [16]Powell M J D.An efficient method for finding the minimum of a hesive and T800H/3900-2 adherends.Int J Adhes Adhes,2012, function of several variables without calculating derivatives.Com- 39:1 ptJ,1964,7(2):155 [5]Korta J,Mlyniec A,Uhl T.Experimental and numerical study on [17]Vu L,Liberzon D.Common Lyapunov functions for families of the effect of humidity-temperature cycling on structural multi-mate- commuting nonlinear systems.Syst Control Lett,2005,54(5): rial adhesive joints.Compos Part B Eng.2015.79:621 405 [6]Liu S F,Cheng X Q,Zhang Q,et al.An investigation of hygro- [18]Yang X D,Li Q,Shen C Y.Viscosity model data fitting for pol- thermal effects on adhesive materials and double lap shear joints of ymer melt based on golden section method.Chin Mech Eng, CFRP composite laminates.Compos Part B Eng,2016,91:431 2014,50(2):70 [7]Kim Y J,Hossain M,Yoshitake I.Cold region durability of a two- (杨晓东,李倩,申长雨.基于黄金分割法的聚合物熔体黏 part epoxy adhesive in double-lap shear joints:experiment and 度模型数据拟合.机械工程学报,2014,50(2):70) model development.Constr Build Mater,2012,36:295 [19]Mainardi F,Raberto M,Gorenflo R,et al.Fractional calculus [8]Jhin G,Azari S,Ameli A,et al.Crack growth rate and crack and continuous-time finance II:the waiting-time distribution. path in adhesively bonded joints:comparison of creep,fatigue and Physica A,2000:287(34):468 fracture.Int Adhes Adhes,2013,46:74 [20]Li D H.Erolution of the Properties of An Epoxy Resin Submitted [9]Khalili S M R,Jafarkarimi M H.Abdollahi M A.Creep analysis to Water and Alkaline Immersion and the Molecular Dynamic Sim- of fibre reinforced adhesives in single lap joints-Experimental ulation [Dissertation].Harbin:Harbin Institute of Technology, study.Int J Adhes Adhes,2009,29(6):656 2015 [10]China Petroleum and Chemical Industry Association,People's (黎迪晖。水碱浸泡条件下环氧树脂的性能演化与分子动力 Republic of China.GB/T 1040.5-2008.Plastics-Determination 学模拟[学位论文].哈尔滨:哈尔滨工业大学,2015) of Tensile Properties-Part 5:Test Conditions for Unidirectional Fi- [21]Li J.Moisture absorption and soaking deformation of fiber rein- ber-Reinforced Plastic Composites.Beijing:Standards Press of forced resin composites.Spacecraft Recov Remot Sens,2010,31 China,2008 (2):69 (国家合成树脂质量监督检验中心.GB/T1040.5一2008塑 (李静.纤维增强树脂基复合材料的吸湿性和湿变形.航天 料拉伸性能的测定第5部分单向纤维增强复合材料的试验 返回与遥感,2010,31(2):69) 条件.北京:中国标准出版社,2008) [22]Tian LL,Liu D X,Zhang G L,et al.Effect of temperature and [11]Yu X Q.The Research on Mechanical Behariors of Composite stress on moisture absorption behavior of graphite epoxy composite Double Lap Joints [Dissertation].Nanjing:Nanjing University of material.Fiber Reinforced Plast/Compos,2006(3):14 Aeronautics and Astronautics,2010 (田莉莉,刘道新,张广来,等.温度和应力对碳纤维环氧复 (余小青.复合材料双面搭接接头力学性能研究[学位论 合材料吸湿行为的影响.玻璃钢/复合材料,2006(3):14) 文].南京:南京航空航天大学,2010) [23] Wan YZ.Wang Y L.Luo H L,et al.Moisture absorption be- [12]Chen W,Sun H G,Li X C.Fractional Deriratire Modeling of havior of C3D/EP composite and effect of external stress.Mater Mechanics and Engineering.Beijing:Science Press,2010 Sei Eng A,2002,326(2):324工程科学学报,第 39 卷,第 9 期 型本构方程和蠕变柔量表达式形式简单明了,参数个 数适当,意义明确,能够较好地描述 HFRP 搭接接头的 蠕变行为,为搭接接头的蠕变特性研究提供了一种简 单有效的分析方式. 参 考 文 献 [1] Wang X, Zhou C, Ai J, et al. Flexural capacity of RC beam strengthened with prestressed C/ AFRP sheets. Trans Nanjing Univ Aero & Astro, 2013, 30(2):202 [2] Dean G. Modeling non鄄linear creep behaviour of an epoxy adhe鄄 sive. Int J Adhes Adhes, 2007, 27(8): 636 [3] Zhang J, Zhang Y X, Yang J. Investigation on epoxy creep behav鄄 iors at ambient and hygrothermal environment. J Mechanical Strength, 2015, 37(2): 237 (张军, 张永祥, 杨军. 环氧树脂胶湿热与室温环境下的蠕变 行为研究. 机械强度, 2015, 37(2): 237) [4] Knight G A, Hou T H, Belcher M A, et al. Hygrothermal aging of composite single lap shear specimens comprised of AF鄄鄄555M ad鄄 hesive and T800H/ 3900鄄鄄2 adherends. Int J Adhes Adhes, 2012, 39: 1 [5] Korta J, Mlyniec A, Uhl T. Experimental and numerical study on the effect of humidity鄄temperature cycling on structural multi鄄mate鄄 rial adhesive joints. Compos Part B Eng, 2015, 79: 621 [6] Liu S F, Cheng X Q, Zhang Q, et al. An investigation of hygro鄄 thermal effects on adhesive materials and double lap shear joints of CFRP composite laminates. Compos Part B Eng, 2016, 91: 431 [7] Kim Y J, Hossain M, Yoshitake I. Cold region durability of a two鄄 part epoxy adhesive in double鄄lap shear joints: experiment and model development. Constr Build Mater, 2012, 36: 295 [8] Jhin G, Azari S, Ameli A, et al. Crack growth rate and crack path in adhesively bonded joints: comparison of creep, fatigue and fracture. Int J Adhes Adhes, 2013, 46: 74 [9] Khalili S M R, Jafarkarimi M H, Abdollahi M A. Creep analysis of fibre reinforced adhesives in single lap joints—Experimental study. Int J Adhes Adhes, 2009, 29(6): 656 [10] China Petroleum and Chemical Industry Association, People蒺s Republic of China. GB/ T 1040. 5—2008. Plastics鄄Determination of Tensile Properties鄄Part 5: Test Conditions for Unidirectional Fi鄄 ber鄄Reinforced Plastic Composites. Beijing: Standards Press of China, 2008 (国家合成树脂质量监督检验中心. GB/ T 1040. 5—2008 塑 料拉伸性能的测定 第 5 部分 单向纤维增强复合材料的试验 条件. 北京: 中国标准出版社, 2008) [11] Yu X Q. The Research on Mechanical Behaviors of Composite Double Lap Joints [Dissertation]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2010 (余小青. 复合材料双面搭接接头力学性能研究[学位论 文]. 南京: 南京航空航天大学, 2010) [12] Chen W, Sun H G, Li X C. Fractional Derivative Modeling of Mechanics and Engineering. Beijing: Science Press, 2010 (陈文, 孙洪广, 李西成. 力学与工程问题的分数阶导数建 模. 北京: 科学出版社, 2010) [13] Zhang W M. On the best viscoelastic rheological model of solids. Natural Science J Xiangtan Univ, 2001, 23(2): 31 (张为民. 论最佳黏弹性固体流变模型. 湘潭大学自然科学 学报, 2001, 23(2): 31) [14] Wang J B, Liu X R, Wang T H. A nonlinear creep model for rocks based on modified fractional viscous body. J Centr South Univ Sci Technol, 2015, 46(4): 1461 (王军保, 刘新荣, 王铁行. 基于改进分数阶黏滞体的岩石 非线性蠕变模型. 中南大学学报(自然科学版), 2015, 46 (4): 1461) [15] Chen H S, Li M M, Kang Y G, et al. Mittag鄄鄄 Leffler function and its application to viscoelastic stress relaxation. Chem J Chin Univ, 2008, 29(6): 1271 (陈宏善 ,李明明, 康永刚, 等. Mittag鄄鄄Leffler 函数及其在黏 弹性应力松弛中的应用. 高等学校化学学报, 2008, 29(6): 1271) [16] Powell M J D. An efficient method for finding the minimum of a function of several variables without calculating derivatives. Com鄄 put J, 1964, 7(2): 155 [17] Vu L, Liberzon D. Common Lyapunov functions for families of commuting nonlinear systems. Syst Control Lett, 2005, 54(5): 405 [18] Yang X D, Li Q, Shen C Y. Viscosity model data fitting for pol鄄 ymer melt based on golden section method. Chin J Mech Eng, 2014, 50(2): 70 (杨晓东, 李倩, 申长雨. 基于黄金分割法的聚合物熔体黏 度模型数据拟合. 机械工程学报, 2014, 50(2): 70) [19] Mainardi F, Raberto M, Gorenflo R, et al. Fractional calculus and continuous鄄time finance II: the waiting鄄time distribution. Physica A, 2000; 287(3鄄4): 468 [20] Li D H. Evolution of the Properties of An Epoxy Resin Submitted to Water and Alkaline Immersion and the Molecular Dynamic Sim鄄 ulation [Dissertation]. Harbin: Harbin Institute of Technology, 2015 (黎迪晖. 水碱浸泡条件下环氧树脂的性能演化与分子动力 学模拟[学位论文]. 哈尔滨: 哈尔滨工业大学, 2015) [21] Li J. Moisture absorption and soaking deformation of fiber rein鄄 forced resin composites. Spacecraft Recov Remot Sens, 2010, 31 (2): 69 (李静. 纤维增强树脂基复合材料的吸湿性和湿变形. 航天 返回与遥感, 2010, 31(2): 69) [22] Tian L L, Liu D X, Zhang G L, et al. Effect of temperature and stress on moisture absorption behavior of graphite epoxy composite material. Fiber Reinforced Plast / Compos, 2006(3): 14 (田莉莉, 刘道新, 张广来, 等. 温度和应力对碳纤维环氧复 合材料吸湿行为的影响. 玻璃钢/ 复合材料, 2006(3): 14) [23] Wan Y Z, Wang Y L, Luo H L, et al. Moisture absorption be鄄 havior of C3D/ EP composite and effect of external stress. Mater Sci Eng A, 2002, 326(2): 324 ·1402·
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