Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/17754
Title: Development of higher order triangular element for accurate stress resultants in plated and shell structures
Authors: SAI SUDHA RAMESH
Keywords: Higher order, triangular element,stresses,stress resultants,plates,shells
Issue Date: 22-Jan-2010
Source: SAI SUDHA RAMESH (2010-01-22). Development of higher order triangular element for accurate stress resultants in plated and shell structures. ScholarBank@NUS Repository.
Abstract: The objective of the present research is to develop a higher order triangular plate/shell element that is capable of predicting accurate stress resultants in structural problems involving high stress gradients and singularities in loading and boundary conditions. In the current work, two types of higher order triangular elements are proposed based on the nodal basis approach. They are a Higher Order Triangular Element with 45 Equally Spaced Nodes inside its master isosceles triangular domain and a Higher Order Triangular Element with 45 Lobatto (optimal) nodal distribution. The first part of the research focuses on the development and application of a class of plate elements derived from the higher order triangular element having equidistant nodes. The developed higher order triangular plate elements are based on Mindlin plate theory (HT-M45), Third order shear deformable theory of Reddy (HT-TSD-R45) and a full layerwise plate theory of Reddy (HT-LT-R45). These plate elements are used to study the linear bending of isotropic and laminated composite plates, where the emphasis is to obtain the stress resultants and the interlaminar stresses accurately. The second part of the research deals with a nonlinear continuum shell formulation of the two types of higher order finite elements. An assessment of the elements¿ performance showed that the higher order element with Lobatto nodal distribution shows excellent performance in a wide range of plate\shell problems. The stress results presented for geometric nonlinear problems should serve as benchmark references in developing other finite elements or other numerical methods
URI: http://scholarbank.nus.edu.sg/handle/10635/17754
Appears in Collections:Ph.D Theses (Open)

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