Improvement of accuracy of cycle jump method for analysis under cyclic load

In this paper, formulations and some computational results of cycle jump method based on the nonlinear finite element method are presented. Problems, involving nonlinear cyclic deformation, such as low cycle fatigue problems can be solved by the proposed cycle jump method. To solve the problems of n...

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Main Authors: Kohmei SATOH, Yasunori YUSA, Hiroshi OKADA
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2017-09-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/83/854/83_17-00300/_pdf/-char/en
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author Kohmei SATOH
Yasunori YUSA
Hiroshi OKADA
author_facet Kohmei SATOH
Yasunori YUSA
Hiroshi OKADA
author_sort Kohmei SATOH
collection DOAJ
description In this paper, formulations and some computational results of cycle jump method based on the nonlinear finite element method are presented. Problems, involving nonlinear cyclic deformation, such as low cycle fatigue problems can be solved by the proposed cycle jump method. To solve the problems of nonlinear cyclic deformation of structure by the nonlinear finite element method with a cycle-by-cycle approach, a large amount of computational time is generally required. Thus a cycle jump method is presented from a view point of temporal multi-scale analysis. Then, an alternative analytical procedure consisting of three steps is proposed. They are a few cycles of nonlinear analysis in a cycle-by-cycle fashion, computations of jumps of strain history dependent quantities (extrapolations) based on the results of the cycle-by-cycle analysis and a cycle jump for several dozen to several hundred cycles using the results of the extrapolations. The results of cycle jump analyses are presented and their accuracies are critically examined. It was found that the results of several load cycles at the beginning of each cycle-by-cycle analysis step should be excluded from the computations of the extrapolation step.
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spelling doaj.art-bfc6cff2258b4e03ac7a93e36cf580742022-12-22T04:16:10ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612017-09-018385417-0030017-0030010.1299/transjsme.17-00300transjsmeImprovement of accuracy of cycle jump method for analysis under cyclic loadKohmei SATOH0Yasunori YUSA1Hiroshi OKADA2Graduate school of Science and Technology, Tokyo University of ScienceFaculty of Science and Technology, Tokyo University of ScienceFaculty of Science and Technology, Tokyo University of ScienceIn this paper, formulations and some computational results of cycle jump method based on the nonlinear finite element method are presented. Problems, involving nonlinear cyclic deformation, such as low cycle fatigue problems can be solved by the proposed cycle jump method. To solve the problems of nonlinear cyclic deformation of structure by the nonlinear finite element method with a cycle-by-cycle approach, a large amount of computational time is generally required. Thus a cycle jump method is presented from a view point of temporal multi-scale analysis. Then, an alternative analytical procedure consisting of three steps is proposed. They are a few cycles of nonlinear analysis in a cycle-by-cycle fashion, computations of jumps of strain history dependent quantities (extrapolations) based on the results of the cycle-by-cycle analysis and a cycle jump for several dozen to several hundred cycles using the results of the extrapolations. The results of cycle jump analyses are presented and their accuracies are critically examined. It was found that the results of several load cycles at the beginning of each cycle-by-cycle analysis step should be excluded from the computations of the extrapolation step.https://www.jstage.jst.go.jp/article/transjsme/83/854/83_17-00300/_pdf/-char/encycle jump methodcyclic loadtemporal multi-scale methodelastic-plastic analysisnonlinear finite element method
spellingShingle Kohmei SATOH
Yasunori YUSA
Hiroshi OKADA
Improvement of accuracy of cycle jump method for analysis under cyclic load
Nihon Kikai Gakkai ronbunshu
cycle jump method
cyclic load
temporal multi-scale method
elastic-plastic analysis
nonlinear finite element method
title Improvement of accuracy of cycle jump method for analysis under cyclic load
title_full Improvement of accuracy of cycle jump method for analysis under cyclic load
title_fullStr Improvement of accuracy of cycle jump method for analysis under cyclic load
title_full_unstemmed Improvement of accuracy of cycle jump method for analysis under cyclic load
title_short Improvement of accuracy of cycle jump method for analysis under cyclic load
title_sort improvement of accuracy of cycle jump method for analysis under cyclic load
topic cycle jump method
cyclic load
temporal multi-scale method
elastic-plastic analysis
nonlinear finite element method
url https://www.jstage.jst.go.jp/article/transjsme/83/854/83_17-00300/_pdf/-char/en
work_keys_str_mv AT kohmeisatoh improvementofaccuracyofcyclejumpmethodforanalysisundercyclicload
AT yasunoriyusa improvementofaccuracyofcyclejumpmethodforanalysisundercyclicload
AT hiroshiokada improvementofaccuracyofcyclejumpmethodforanalysisundercyclicload