Abstract
This paper is concerned with the stress recovery for the natural element method in which the problem domain is discretized with Delaunay triangles and the structural behavior is approximated with Laplace interpolation functions. Basically, the global and local patch recovery techniques based on the L 2-projection method are adopted. For the local patch recovery, the local element patches are defined by the supports of each Laplace interpolation function. For the comparison purpose, the local stress recovery is also performed using Lagrange-type basis functions that are used for 3- and 6-node triangular elements. The stresses that are recovered by the present global and local recovery techniques are compared each other and compared with the available analytic solution, in terms of their spatial distributions and the convergence rates. As well, the dependence of the recovered stress field on the type of test basis functions that are used forbnov-Galerkin (BG) and Petrov-Galerkin (PG) natural element methods is also investigated.
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Recommended by Associate Editor Gang-Won Jang
Jin-Rae Cho received his B.S. degree in Aeronautical Engineering from Seoul National University in 1983. He then received his M.S. and Ph.D. degrees from The University of Texas at Austin in 1993 and 1995, respectively. He is currently an Associate Professor at the Department of Naval Architecture and Ocean Engineering in Hongik University. His major research field is the computational mechanics in solid/structural /bio mechanics, ocean engineering and materials science.
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Cho, JR. Stress recovery techniques for natural element method in 2-D solid mechanics. J Mech Sci Technol 30, 5083–5091 (2016). https://doi.org/10.1007/s12206-016-1026-4
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DOI: https://doi.org/10.1007/s12206-016-1026-4