论文标题
几何应力函数，连续和不连续
Geometric Stress Functions, Continuous and Discontinuous
论文作者
论文摘要
麦克斯韦（Maxwell）在对压力功能的工作中指出，鉴于平面桁架，内力分布可以通过分段线性描述，$ c^0 $连续版本的通风应力功能。后来，威廉姆斯（Williams）和姆克罗比（Mcrobie）提出，人们可以考虑平面力量框架，其中压力功能甚至不必是$ c^0 $连续。两位作者还提出了一个不连续的应力函数，以分析空间框架，但是遭受了不完整的影响。本文为$ n $维空间框架提供了不连续的应力功能，该框架完整而最小，以及其来自$ n $维的连续应力功能的推导。
In his work on stress functions Maxwell noted that given a planar truss the internal force distribution may be described by a piecewise linear, $C^0$ continuous version of the Airy stress function. Later Williams and McRobie proposed that one can consider planar moment-bearing frames, where the stress function need not be even $C^0$ continuous. The two authors also proposed a discontinuous stress function for the analysis of space-frames, which however suffers from incompleteness. This paper provides a discontinuous stress function for $n$-dimensional space frames that is complete and minimal, along with its derivation from an $n$-dimensional continuous stress function.
