a novel shape-free plane quadratic polygonal hybrid stress-function element

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ID: 260031
2015
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Abstract
A novel plane quadratic shape-free hybrid stress-function (HS-F) polygonal element is developed by employing the principle of minimum complementary energy and the fundamental analytical solutions of the Airy stress function. Without construction of displacement interpolation function, the formulations of the new model are much simpler than those of the displacement-based polygonal elements and can be degenerated into triangular or quadrilateral elements directly. In particular, it is quite insensitive to various mesh distortions and even can keep precision when element shape is concave. Furthermore, the element does not show any spurious zero energy modes. Numerical examples show the excellent performance of the new element, denoted by HSF-AP-19β, in both displacement and stress solutions.
Reference Key
zhou2015mathematicala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Pei-Lei Zhou;Song Cen
Journal journal of power sources
Year 2015
DOI
10.1155/2015/491325
URL
http://dx.doi.org/10.1155/2015/491325
Keywords
civil engineering (general)mathematics engineering (general)

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