Displacement and equilibrium mesh-free formulation based on integrated radial basis functions for dual yield design

Ho, Phuc L. H. and Le, Canh V. and Tran-Cong, Thanh (2016) Displacement and equilibrium mesh-free formulation based on integrated radial basis functions for dual yield design. Engineering Analysis with Boundary Elements, 71. pp. 92-100. ISSN 0955-7997

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Abstract

This paper presents displacement and equilibrium mesh-free formulation based on integrated radial basis functions(iRBF) for upper and lower bound yield design problems. In these approaches, displacement and stress fields are approximated by the integrated radial basis functions, and the equilibrium equations and boundary conditions are imposed directly at the collocation points. In this paper it has been shown that direct nodal integration of the iRBF approximation can prevent volumetric locking in the kinematic formulation, and instability problems can also be avoided. Moreover, with the use of the collocation method in the static problem, equilibrium equations and yield conditions only need to be enforced at the nodes, leading to the reduction in computational cost. The mean value of the approximated upper and lower bound is found to be in excellent agreement with the available analytical solution, and can be considered as the actual collapse load multiplier for most practical engineering problems, for which exact solution is unknown.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Accepted version deposited in accordance with the copyright policy of the publisher.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Mechanical and Electrical Engineering
Date Deposited: 04 Nov 2016 04:56
Last Modified: 01 Nov 2017 04:43
Uncontrolled Keywords: Limit analysis, Yield design, Integrated radial basis function, Mesh-free method, Second order cone programming
Fields of Research : 09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010303 Optimisation
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1016/j.enganabound.2016.07.010
URI: http://eprints.usq.edu.au/id/eprint/29836

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