A linear programming upper bound approach to the shakedown limit of thin shells subjected to variable thermal loading
A linear programming upper bound approach to the shakedown limit of thin shells subjected to variable thermal loading
复制标题
可变热载荷下薄壳安定极限的线性规划上限方法
DOI：
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发表时间：
1984
期刊：
影响因子：
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通讯作者：
A. Ponter
中科院分区：
文献类型：
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作者：
S. Karadeniz;A. Ponter
本文介绍了一种估算圆柱薄壳在热载荷作用下安定极限的上限法。该方法是基于上限运动安定定理的Koiter。通过适当选择有限元形式的位移场和屈服面，将问题转化为线性规划问题。提出了一些解决方案，涉及到一个移动的温度前，这表明该技术提供了，在一个有效的方式，完整的描述的负载水平，棘轮效应会发生和相应的变形模式的管。因此，该技术似乎提供了一个有用的中介之间的使用简单的规则纳入设计规范和充分的非弹性分析。
Abstract This paper describes an upper bound technique for the evaluation of the shakedown limit of thin cyclindrical shells subject to thermal loading. The method is based upon the upper bound kinematic shakedown theorem of Koiter. By suitable choice of displacement field, in a finite element form, and yield surface, the problem is reduced to a linear programming problem. A number of solutions are presented involving a tube subjected to a moving temperature front which indicates that the technique provides, in an efficient way, a complete description of the load levels at which ratchetting would occur and the corresponding modes of deformation. The technique seems therefore, to provide a useful intermediary between the use of the simple rules incorporated in design codes and full inelastic analysis.