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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 84
PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 212
A Recovery Error Estimator for Singular Problems Using Singular+Smooth Field Splitting J.J. Ródenas, E. Giner, J.E. Tarancón and O.A. González
Research Centre on Vehicles Technology, Department of Mechanical and Materials Engineering, Polytechnic University of Valencia, Spain Full Bibliographic Reference for this paper
, "A Recovery Error Estimator for Singular Problems Using Singular+Smooth Field Splitting", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Fifth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 212, 2006. doi:10.4203/ccp.84.212
Keywords: error estimation, stress recovery, superconvergent patch recovery, generalised stress intensity factor, equivalent domain integral, finite element method, singular stress fields.
Summary
When applied to smooth solution problems, recovery-type error estimators,
especially those based on the use of the superconvergent patch recovery (SPR) technique [1],
have been shown to provide very accurate results. However, the efficiency of the
error estimators decreases in singular problems due to their special nature.
In this paper, a new recovery-type error estimator for singular problems in linear
elasticity, called the SPR-C-GSIF technique, has been developed. The idea behind the
new recovery technique is to obtain the recovered stresses
In order to obtain an accurate estimation of the GSIF, a domain integral approach has been used [3]. The use of domain integrals for characterizing elastic singular problems is very efficient, accurate and easy to implement as a post-processing part of a finite element analysis.
The test problem used in the numerical examples is a portion of an infinite
L-shaped domain which has been loaded with pure mode I stresses, see Figure 1.
Since the effectivity index References
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