基于线性强化模型的双层厚壁圆筒极限内压统一解  

UNIFIED SOLUTION OF LIMIT INTERNAL PRESSURE FOR DOUBLE-LAYERED THICK-WALLED CYLINDER BASED ON BILINEAR HARDENING MODEL

作　　者：姜志琳[1] 赵均海[1] 吕美彤 张磊[1] JIANG Zhi-lin;ZHAO Jun-hai;Lü Mei-tong;ZHANG Lei(School of Civil Engineering,Chang＇an University,Xi＇an,Shaanxi 710061,China)

机构地区：[1]长安大学建筑工程学院,陕西西安710061

出　　处：《工程力学》2018年第A01期6-12,共7页Engineering Mechanics

基　　金：国家自然科学基金项目(51508028;41202191);中国博士后科学基金项目(2016T90879;2014M562357);中央高校基本科研业务费专项资金项目(310828173402)

摘　　要：基于双剪统一强度理论与双线性强化模型,考虑材料拉压强度的不同及中间主应力效应的影响,推导了均匀内压作用下双层厚壁圆筒的弹、塑性极限内压解,分析了强化模量系数、拉压强度比、统一强度理论参数、内外半径比及分层半径对弹、塑性极限内压统一解的影响。结果表明:随着外径与内径之比的增大,弹、塑性极限内压增加,随着统一强度理论参数的增大,其值增加,随着拉压强度比的增大,其值减小;弹性极限内压与强化模量系数的取值无关,塑性极限内压随着强化模量系数的增大而增加;内外筒的分层半径对弹性极限内压有显著影响,而对塑性极限内压的影响较小。工程应用中,应选择较为合理的壁厚,使其在安全的基础上承受更大的内力;应充分考虑材料中间主应力及拉压强度比的影响,更准确的计算其受力情况,充分发挥材料的潜能。Considering the different tensile-compressive strength of materials and the effect of intermediate principal stress, the unified solutions of the elastic limit internal pressure and the plastic limit internal pressure of a double-layered thick-walled cylinder under internal pressure are deduced, based on twin shear unified strength theory and a bilinear hardening model. The influence of parameters on the unified solution of elastic and plastic limit internal pressure is analyzed. It is shown that： each unified solution increases with increase of the radius ratio and unified strength theory parameter, but decreases with increase of the tension-compression ratio. The elastic limit internal pressure is irrelevant to the strain-hardening modulus coefficient, but the plastic limit internal pressure increases with the increase of the strain-hardening modulus coefficient. The delamination radius has a significant influence on the elastic limit internal pressure, but has a slight influence on the plastic limit internal pressure. For the engineering applications, reasonable wall thickness should be chosen so as to bear a greater internal force on the basis of safety. The consideration of the intermediate principal stress effect and tension-compression ratio can make materials develop their full potential ability.

关 键 词：结构工程 双层厚壁圆筒 双剪统一强度理论 双线性强化模型 极限内压 拉压强度 

分 类 号：TU398.9[建筑科学—结构工程]