On the Correspondence between 2D Force Networks and Polyhedral Stress Functions
On the Correspondence between 2D Force Networks and Polyhedral Stress Functions
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论二维力网络与多面体应力函数的对应关系
DOI：
10.1260/0266-3511.29.3.145
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发表时间：
2014
影响因子：
--
通讯作者：
G. Carpentieri
中科院分区：
文献类型：
--
作者：
F. Fraternali;G. Carpentieri
我们制定并讨论了2D中多面体应力函数和内部自平衡框架之间的关系，以及用于预测与此类系统相关的应力场的双网格技术。我们推广经典的结果与光滑艾里应力函数的多面体函数与任意三角剖分的一个简单的连通域。我们还制定了一个正则化技术，顺利项目的应力函数对应于一个非结构化的力网络在结构化的三角剖分。本文包括数值例子处理基准问题的平面弹性，和应力场与桁架模型的悬臂梁和椭圆膜。
We formulate and discuss the relationship between polyhedral stress functions and internally self-equilibrated frameworks in 2D, and a two-mesh technique for the prediction of the stress field associated with such systems. We generalize classical results concerned with smooth Airy stress functions to polyhedral functions associated with arbitrary triangulations of a simply-connected domain. We also formulate a regularization technique that smoothly projects the stress function corresponding to an unstructured force network over a structured triangulation. The paper includes numerical examples dealing with a benchmark problem of plane elasticity, and the stress fields associated with truss models of a cantilever beam and an elliptical membrane.
影响因子：
2.9
作者：
C. Cyron;M. Arroyo;Magdalena Ortiz
通讯作者：
C. Cyron;M. Arroyo;Magdalena Ortiz