Robustness of hierarchical laminated shell element based on equivalent single-layer theory
type: Item
instance of: scholarly article
title: Robustness of hierarchical laminated shell element based on equivalent single-layer theory
zbMATH Open document ID: 1394.74105
DOI: 10.1155/2015/301054
author: Y. Aharonov
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: This paper deals with the hierarchical laminated shell elements with nonsensitivity to adverse conditions for linear static analysis of cylindrical problems. Displacement approximation of the elements is established by high-order shape functions using the integrals of Legendre polynomials to ensure \(C^0\) continuity at the interface between adjacent elements. For exact linear mapping of cylindrical shell problems, cylindrical coordinate is adopted. To find global response of laminated composite shells, equivalent single-layer theory is also considered. Thus, the proposed elements are formulated by the dimensional reduction from three-dimensional solid to two-dimensional plane which allows the first-order shear deformation and considers anisotropy due to fiber orientation. The sensitivity tests are implemented to show robustness of the present elements with respect to severe element distortions, very high aspect ratios of elements, and very large radius-to-thickness ratios of shells. In addition, this element has investigated whether material conditions such as isotropic and orthotropic properties may affect the accuracy as the element distortion ratio is increased. The robustness of present element has been compared with that of several shell elements available in ANSYS program.
Mathematics Subject Classification ID: 74K25
zbMATH DE Number: 6926000
Wikidata QID: Q59117918
describes a project that uses: ANSYS
describes a project that uses: APDL
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/301054
OpenAlex ID: W1509720843
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description: scientific article; zbMATH DE number 6926000