摘要
按第三强度理论,采用图像法与解析法相结合的方法分析论证圆筒形自增强压力容器弹塑性界面处总应力的当量应力、塑性区深度与反向屈服、承载能力等因素之间的理论联系,提供理论上确定与塑性区深度及承载能力有关的方法与公式、算图及表格。研究表明,以k2lnkj2-k2-kj2+2=0控制区深度最佳,此时可保证:σej≤1,σei'≥-1;以kj=exp(p/σs)控制区深度可使弹塑性界面处总应力的当量应力σej最小。其中k为容器径比、kj为塑性区深度、p/σs为内压/屈服点、σei'为内壁面处残余应力的当量应力。分析论证过程中得到的一些值得注意的规律、关系式及数据、图表等可作为压力容器工程设计时参考的理论基础和依据,也使自增强理论各参数间的关系和变化规律更清晰、透彻和实用。
Based on the 3rd strength theory,the theoretical relations among the equivalent stress of total stresses at elastoplastic juncture,depth of plastic zone and reverse yielding,and load-bearing capacity for an autofrettaged cylindrical pressure vessel are analyzed and demonstrated by using combined image and analytical methods.The method,formula,nomogram and form determined theoretically to be related to the depth of plastic zone and load-bearing capacity are provided.Research shows that it is optimum to control the depth of plastic zone by equation k^2lnkj^2-k^2-kj^2＋2=0,then σej≤1 and σei＇≥-1 is guaranteed;and the equivalent stress of total stresses at elastoplastic juncture,σej,can be the minimum if the depth of plastic zone is controlled by kj=exp（p/σs）,where k is vessel diameter ratio,kj is depth of plastic zone,and p/σs is internal pressure/yield point,σei＇ is the equivalent stress of residual stress at inside surface.The noticeable laws,equations,data and charts obtained in the course of analysis and demonstration can be used as the theoretical basis for reference in the engineering design of pressure vessels,and they make the relations and variation laws among the parameters of autofrettage theory more clear,penetrating and practical.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2010年第6期126-133,共8页
Journal of Mechanical Engineering
关键词
压力容器
自增强
塑性区深度
承载能力
Pressure vessel Autofrettage Depth of plastic layer Load-bearing capacity
