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Title: Unsymmetric finite elements for mesh-distortion tolerance performance
Authors: Ooi, Ean Tat
Keywords: DRNTU::Engineering::Manufacturing
Issue Date: 2006
Source: Ooi, E. T. (2006). Unsymmetric finite elements for mesh-distortion tolerance performance. Doctoral thesis, Nanyang Technological University, Singapore.
Abstract: Although the finite element method is a mature field of research and its success in computational mechanics is widely recognized, there is still scope for further improvements. One such area is the development of mesh-distortion tolerant elements that yield accurate solutions even in the presence of mesh distortions. This thesis focuses on the development of a recent finite element formulation, called the unsymmetric formulation, which has high mesh-distortion tolerant properties. The scope of this research includes an extension of the unsymmetric formulation to geometric and material nonlinear problems in solid mechanics, a symmetric implementation of the unsymmetric formulation, and an investigation into some of the drawbacks of the unsymmetric formulation and its remedies. To begin with, the concept of the unsymmetric formulation, which is based on a reinterpretation of the virtual work principle, is revisited. The rationale behind the use of compatibility- and completeness-fulfilling shape functions for the virtual and trial displacements, respectively, is reviewed.
DOI: 10.32657/10356/5254
Rights: Nanyang Technological University
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:MAE Theses

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