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Error control in viscoelastic stress analysis
Affiliation:1. Department of Mechanical Engineering, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar 144011, India;2. Department of Mechanical Engineering, I.K. Gujral Punjab Technical University Hoshiarpur Campus, Hoshiarpur 146001, India;1. Assistant Professor, Civil Engineering Dept., Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh, Egypt;2. Civil Engineering Department, Faculty of Engineering, Islamic University of Gaza, Gaza, Palestine;3. School of Transportation Science and Engineering, Beihang University, Beijing, China;1. School of Civil Engineering and Surveying, University of Southern Queensland, Springfield Campus, QLD 4300, Australia;2. Centre for Future Materials, University of Southern Queensland, Toowoomba, QLD 4350, Australia
Abstract:Time step monitoring algorithms are presented for controlling errors which arise during the numerical integration of a viscoelastic stress analysis. With the algorithms presented, a user specifies tolerable stress and creep strain errors and the algorithms monitor integration time steps to keep errors within the limits set. The effects of using numerical integration formulae, of stress error buildup and of creep strain error buildup are considered. The algorithms are tested on a radially thick ring problem.
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