考虑时间效应的发动机粘接界面力学模型研究
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摘要
传统的内聚力模型只能描述静态的分离力与分离位移之间的关系。为了描述随时间变化的分离力与分离位移关系,本文采用Maxwell模型,在PPR内聚力模型基础上,提出了一种新型的时间相关内聚力模型。数值仿真结果表明,粘接强度、临界位移以及损伤起始位移随加载速率和粘性系数的增加而增大。开展了三种不同拉伸速率下的双悬臂夹层梁试验件拉伸试验,通过反演分析手段,得到了描述粘接界面时间相关内聚力模型参数。试验及仿真结果对比分析表明,本文提出的时间相关内聚力模型可以有效地模拟时间变化对分离力的影响。
The conventional cohesive zone model can only describe the time independent relationship between the separation and traction. In order to form the time dependent function, a novel time-dependent cohesive zone model has been proposed in this paper based on the Maxwell model. PPR model in this paper acts as a basic time-independent cohesive relationship. The numerical simulated results reveal that increased imposed loading rate and viscoelastic coefficient will increase the cohesive strength, critical displacement and initial damage displacement. Double sandwich cantilever beam tests are designed with three different imposed loading rate. By the inverse analysis, the model parameters have been obtained. The comparison between the experimental data and numerical results shows that the proposed model can simulate the time dependence of the traction well.
The conventional cohesive zone model can only describe the time independent relationship between the separation and traction. In order to form the time dependent function, a novel time-dependent cohesive zone model has been proposed in this paper based on the Maxwell model. PPR model in this paper acts as a basic time-independent cohesive relationship. The numerical simulated results reveal that increased imposed loading rate and viscoelastic coefficient will increase the cohesive strength, critical displacement and initial damage displacement. Double sandwich cantilever beam tests are designed with three different imposed loading rate. By the inverse analysis, the model parameters have been obtained. The comparison between the experimental data and numerical results shows that the proposed model can simulate the time dependence of the traction well.
引文
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[4]杨志泉.基于CZM的FRP-混凝土界面有限元分析[D].大连理工大学,2016.
[5]李莉,蒋海华.基于CZM法QFN器件热冲击载荷下的界面脱层研究[J].电子工业专用设备,2009,172:30-33.
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[14]Corigliano A,Ricci M.Rate-dependent interface models:formulation and numerical applications[J].International journal of solids and structures,2001,38:547-576.
[15]Zhou FH,Molinari JF,Shioya TS.A rate-dependent cohesive model for simulating dynamic crack propagation in brittle materials[J].Engineering fracture mechanics,2005,72:1383-1410.
[16]Kim Y R,Freitas F,Jung J S,et al.Characterization of bitumen fracture using tensile tests incorporated with viscoelastic cohesive zone model[J].Construction and Building Materials,2015,88:1-9.
[17]Allen DH,Searcy CR.A micromechanical model for a viscoelastic cohesive zone[J].International Journal of Fracture,2001,107:159-176.
[18]闫五柱,张嘉振,周振功.外伸梁弯曲法确定薄膜界面力学性能[J].强度与环境,2013,40(5):57-64.
[19]周清春,鞠玉涛,韦震,等.端羟基聚丁二烯推进剂/衬层脱粘的断裂机理与断裂能获取研究[J].兵工学报,2014,35(7):990-995.
[2]苗婷,苗张木,冷晓畅.基于内聚力模型的X65管线钢稳定裂纹扩展研究[J].船舶力学,2017,21(2):192-200.
[3]李卓.内聚力和扩展有限元方法在裂纹扩展模拟中的应用研究[D].广西大学,2013.
[4]杨志泉.基于CZM的FRP-混凝土界面有限元分析[D].大连理工大学,2016.
[5]李莉,蒋海华.基于CZM法QFN器件热冲击载荷下的界面脱层研究[J].电子工业专用设备,2009,172:30-33.
[6]Dugdale D S.Yielding of steel sheets containing slits[J].Journal of the mechanics and physics of solids,1960,8(2):100-104.
[7]Barenblatt.The mathematical theory of equilibrium cracks in brittle fracture[J].Advance in applied mechanics,1962,7:55-129.
[8]Park K,Paulino G H,Roesler J R.A unified potential-based cohesive model of mixed-mode fracture[J].Journal of the mechanics and physics of solids,2009,57:891-908.
[9]Xu C C,Siegmund T,Ramani K.Rate-dependent crack growth in adhesives II.Experiments and analysis[J].International Journal of Adhesion&Adhesives,2003,23:15-22.
[10]Sun S Y,Chen H R.The interfacial fracture behavior of foam core composite sandwich structures by a viscoelastic cohesive model[J].SCIENCE CHINA Physics,Mechanics&Astronomy,2011,54(8):1481-1487.
[11]Musto M,Alfano G.A novel rate-dependent cohesive-zone model combining damage and visco-elasticity[J].Computers and Structures,2013,118:126-133.
[12]Gei?ler G,Kaliske M,Nase M,et al.Peel process simulation of sealed polymeric film computational modelling of experimental results[J].Engineering computations:international journal for computer-aided engineering and software,2007,24(6):586-607.
[13]Gei?ler G,Kaliske M.Time-dependent cohesive zone modelling for discrete fracture simulation[J].Engineering fracture mechanics,2010,77:153-169.
[14]Corigliano A,Ricci M.Rate-dependent interface models:formulation and numerical applications[J].International journal of solids and structures,2001,38:547-576.
[15]Zhou FH,Molinari JF,Shioya TS.A rate-dependent cohesive model for simulating dynamic crack propagation in brittle materials[J].Engineering fracture mechanics,2005,72:1383-1410.
[16]Kim Y R,Freitas F,Jung J S,et al.Characterization of bitumen fracture using tensile tests incorporated with viscoelastic cohesive zone model[J].Construction and Building Materials,2015,88:1-9.
[17]Allen DH,Searcy CR.A micromechanical model for a viscoelastic cohesive zone[J].International Journal of Fracture,2001,107:159-176.
[18]闫五柱,张嘉振,周振功.外伸梁弯曲法确定薄膜界面力学性能[J].强度与环境,2013,40(5):57-64.
[19]周清春,鞠玉涛,韦震,等.端羟基聚丁二烯推进剂/衬层脱粘的断裂机理与断裂能获取研究[J].兵工学报,2014,35(7):990-995.