Non-linear in-plane stability analysis of FG circular shallow arches under uniform radial pressure |
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Affiliation: | 1. Guangzhou University-Tamkang University Joint Research Centre for Engineering Structure Disaster Prevention and Control, Guangzhou University, Guangzhou 510006, China;2. Centre for Infrastructure Engineering and Safety, The University of New South Wales, NSW 2052, Australia;3. Department of Civil Engineering, Lakehead University, Ontario P7B 5E1, Canada |
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Abstract: | In this paper, non-linear stability behavior of functionally graded (FG) circular shallow arches subjected to a uniform radial pressure is investigated by an analytical method. For this purpose, the classical single layer assumption is used to approximate the displacement field through the arch. Donnell?s non-linear model for shallow shells is employed to derive the strain–displacement relations. The material properties vary smoothly through the thickness of the arch according to a power-law distribution. The governing equilibrium equations and the complete set of boundary conditions are extracted employing the principle of virtual displacements and variational calculus. Because of considerable pre-buckling deformations of shallow arches, the stability analysis is accomplished considering the pre-buckling deformations. The non-linear equilibrium paths are presented for two symmetric types of boundary conditions. Results show the influences of properties dispersion, geometrical characteristics, and boundary conditions on the stability behavior of the FG circular shallow arches. Also, the results of the paper are compared with the known data in literature. |
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Keywords: | Non-linear stability Analytical solution Functionally graded material Shallow arches Different instability modes Uniform radial pressure |
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