不同拉压特性的厚壁球壳分析  

Analysis of thick-walled spherical shell with different behaviour in tension and compression

作　　者：曹雪叶 赵均海[1] 李艳[2] 张茜[3] 

机构地区：[1]长安大学建筑工程学院,西安710061 [2]长安大学地质工程与测绘学院,西安710054 [3]西安长安大学工程设计研究院有限责任公司,西安710064

出　　处：《应用力学学报》2016年第3期378-383,542,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(41202191);陕西省社会发展科技攻关项目(2015SF272);陕西省自然科学基础研究计划项目(2015JM4146);长安大学中央高校基本科研业务费专项基金(310826161007);长安大学优秀博士学位论文培育资助项目(310828150018)

摘　　要：为了研究内压作用下厚壁球壳的弹塑性性能,以双剪统一强度理论为基础,考虑材料拉压模量不同、拉压强度差异,建立了厚壁球壳的弹性、塑性及安定极限内压的统一解,分析了拉压模量、拉压强度、壁厚不同对各个统一解的影响。研究结果表明:材料的拉压模量不同、拉压强度差异对厚壁球壳的极限内压产生一定的影响;弹性、塑性及安定极限内压均随壁厚的增加而增大,随拉压比的增大而减小。安定极限内压随半径比的变化趋势,可为选择最优壁厚提供参考。该结论为厚壁球壳的设计及工程应用提供一定的参考。Elasto-plastic analysis of thick-walled spherical shell under internal pressure is studied based on twin shear unified strength theory. With the consideration of different elastic modulus and strength in tension and compression, the unified analytical solutions of the elastic limit internal pressure, the plastic limit internal pressure, the residual stress and the shakedown limit internal pressure of thick-walled spherical shell are derived. The influence of elastic moduli in tension and compression, strengths in tension and compression and wall thickness on the solution is investigated respectively. The results show that the effects of the different elastic moduli and strengths in tension and compression on the limit internal pressure are significant. The elasto-plastic limit internal pressure and the shakedown limit internal pressure will increase with the increase of radius ratio but decrease with the increase of tension-compression ratio. The curve of the shakedown limit internal pressure along with radius ratio provides reference for choosing the optimal wall thickness. The solution provides a reference for the optimum design and practical construction.

关 键 词：厚壁球壳 双剪统一强度理论 拉压模量 拉压强度 极限内压 

分 类 号：O346[理学—固体力学]