2014/09/24 by Fernando Fraternali, Fraternali, Fernando, Gerardo Carpentieri +1
Engineering · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mechanical Behavior of Composites #Structural Analysis and Optimization #Structural Behavior of Reinforced Concrete
paper · pdf · doi:10.48550/arxiv.1409.7061
openalex publication_date 2014/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 tensegrity models of a cantilever beam and an elliptical membrane.