不同拉压特性的厚壁圆筒极限内压统一解

发布时间：2018-02-13 03:03

本文关键词： 厚壁圆筒双剪统一强度理论拉压强度拉压模量极限内压　出处：《力学学报》2017年04期 　论文类型：期刊论文

【摘要】：厚壁圆筒在实际工程领域中应用广泛,若能精确计算出极限内压,对预防事故发生,降低风险有重要意义.工程中存在许多材料,其拉压强度和拉压模量均存在差异,这些差异对极限内压的大小有显著影响.以往研究表明,仅考虑拉压强度与拉压模量的一个方面,计算结果与实际情况存在一定的误差.本文基于双剪统一强度理论,综合考虑中间主应力效应及材料拉压强度和拉压模量的不同,推导了内压作用下厚壁圆筒的弹、塑性状态的应力分布及弹性极限内压、塑性极限内压与安定极限内压的统一解,通过与其他文献对比分析验证了本文计算结果的正确性,分析了半径比、统一强度理论参数、拉压强度比与拉压模量系数对弹性极限内压、塑性极限内压及安定极限内压的影响.结果表明:统一解均随半径比和统一强度理论参数的增大而增大,随拉压强度比的增大而减小,弹性极限内压随材料拉压模量系数的增大而减小,当壁厚增加到一定值后,安定极限内压随材料拉压模量系数的增大而减小;材料的拉压模量不同、拉压强度差异对厚壁圆筒的安定性影响显著,考虑中间主应力效应可使材料的潜能得到更充分发挥,极限内压随半径比的变化规律可为选择合理壁厚提供参考,该结论可为厚壁圆筒的工程应用提供理论依据.
[Abstract]:Thick wall cylinder is widely used in practical engineering field. If the limit internal pressure can be calculated accurately, it is of great significance to prevent accidents and reduce risk. There are many materials in engineering, and the tensile and compression strength and modulus are different. These differences have a significant effect on the limit internal pressure. Previous studies have shown that there is a certain error between the calculation results and the actual situation by considering only one aspect of tensile and compression strength and modulus. This paper is based on the unified strength theory of double shear. Considering the effect of intermediate principal stress and the difference of tensile and compressive strength and modulus of materials, the unified solution of elastic stress distribution and elastic limit internal pressure, plastic limit internal pressure and stability limit internal pressure of thick walled cylinder under internal pressure are derived. The correctness of the calculation results is verified by comparing with other literatures. The radius ratio, unified strength theory parameters, tensile compression strength ratio and modulus coefficient of tension and compression are analyzed to limit the internal pressure of elasticity. The results show that the unified solution increases with the increase of radius ratio and the theoretical parameters of unified strength, and decreases with the increase of tensile strength ratio. The internal pressure of elastic limit decreases with the increase of the modulus coefficient of tension and compression of the material. When the wall thickness increases to a certain value, the internal pressure of stability limit decreases with the increase of the modulus coefficient of tensile and compression modulus of the material, and the tensile and compression modulus of the material is different. The difference of tensile strength and compression strength has a significant effect on the stability of thick-walled cylinder. Considering the effect of intermediate principal stress, the potential of material can be brought into full play, and the variation of limit internal pressure with radius ratio can provide a reference for the selection of reasonable wall thickness. This conclusion can provide theoretical basis for the engineering application of thick wall cylinder.
【作者单位】：长安大学建筑工程学院;
【基金】：国家自然科学基金(51508028,41202191) 中国博士后科学基金(2016T90879,2014M562357) 中央高校基本科研业务费专项资金(310828173402)资助项目
【分类号】：O346

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