NDLI: Stress recovery techniques for natural element method in 2-D solid mechanics

Content Provider	Springer Nature Link
Author	Cho, Jin Rae
Copyright Year	2016
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.
Starting Page	5083
Ending Page	5091
Page Count	9
File Format	PDF
ISSN	1738494X
Journal	Journal of Mechanical Science and Technology
Volume Number	30
Issue Number	11
e-ISSN	19763824
Language	English
Publisher	Korean Society of Mechanical Engineers
Publisher Date	2016-11-12
Publisher Place	Seoul
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Natural element method Stress recovery techniques PG-NE method BG-NE method Laplace interpolation functions Smoothened stress field Global and local patches Convergence rate Mechanical Engineering Vibration, Dynamical Systems, Control Industrial and Production Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Mechanical Engineering

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