桥梁结构钢裂纹塑性区的研究及应用  

Study On the Crack Plastic Zone of Bridge Structure Steel and Its Application

作　　者：渠昱[1,2] 顾安邦[1,2] 曾勇[1,2] 杜柏松[1,2] QU Yu;GU Anbang;ZENG Yong;DU Baisong(State Key Laboratory Breeding Base of Mountain Bridge and Tunnel Engineering,Chongqing Jiaotong University,Chongqing 400074,China;Mountain Bridge and Materials Engineering Research Center of Ministry of Education,Chongqing Jiaotong University,Chongqing 400074,China)

机构地区：[1]重庆交通大学山区桥梁与隧道工程国家重点实验室,重庆400074 [2]重庆交通大学山区桥梁结构与材料教育部工程研究中心,重庆400074

出　　处：《西南交通大学学报》2018年第4期720-726,共7页Journal of Southwest Jiaotong University

基　　金：国家自然科学基金资助项目(51478071)

摘　　要：为了研究裂纹塑性对裂纹扩展的影响,利用工程简化算法、应力函数法、扩展有限元法对桥梁钢裂尖塑性区的尺寸和形状分别进行了计算;由于平面应力和平面应变情况下尾迹场循环塑性的特性不同,利用不连续扩展有限元对两种情况下尾迹场的循环塑性和塑性累积进行了模拟分析,探讨了裂尖塑性区、循环塑性区的形成和尾迹场产生压应力的机理.研究结果表明:裂尖塑性区尺寸与应力水平(名义应力与屈服极限的比值)的平方成正比,当应力水平大于0.4时,裂尖塑性区尺寸需要考虑应力水平的影响;裂尖塑性区的形状以蝶形向前伸展,使裂纹尾迹场免受裂尖高应力场的拉伸作用,有利于裂纹闭合;裂尖塑性区存在材料的逆向流动,在循环塑性区裂纹表面的塑性累积产生压应力效应有利于裂纹提前闭合,这种塑性诱发的裂纹提前闭合对研究变幅加载、过载引起的裂纹扩展滞后有重要意义.In order to study the influence of crack plasticity on crack growth,the shape and size of crack tip plastic zone of bridge steel were calculated by using engineering simplification algorithm,the stress function method and extended finite element method respectively.As a result of the cyclic plasticity of wake field under plane stress and plane strain being different,cyclic plasticity and plastic accumulation of crack tip and wakes were simulated and analyzed by using the discontinuous extended finite element method.The formation of crack tip plastic zone,cyclic plastic zone and the mechanism of compressive stress of wake field were studied.The results showed that the appearances and sizes of plastic zone at the crack tip were proportional to the square of the stress level(the ratio of nominal stress to the yield limit).When the stress level was greater than 0.4,the size of the crack tip plastic zone had to be taken into account the effect of the stress level.The butterfly-shaped crack tip plastic zone symmetrically extended forward,shielding the tensile force of the crack tip high stress field on the wake field,which was beneficial to crack closure.There exists reverse flow of material in plastic zone of crack tip.The compressive stress effect induced by the plastic accumulation on the crack surface was beneficial to the crack closure in advance.Crack closure produced by plasticity had an important influence on the retardation of crack extension in the case of variation load and overload.

关 键 词：裂尖塑性区 循环塑性区 塑性累积 裂纹闭合 裂纹扩展滞后 不连续伽辽金扩展有限元法 

分 类 号：O342[理学—固体力学]