Strength and fatigue analysis of periodic perforated materials using the computational homogenization and ES-FEM approaches

This paper presents a computational homogenization shakedown analysis of periodic perforated materials with von Mises matrices. The plastic behaviors of the perforated materials under cyclic macroscopic loads are studied by means of kinematic shakedown theorem and computational homogenization metho...

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Main Authors: Phuong H. Nguyen, Canh V. Le, Phuc L.H. Ho
Format: Article
Language:English
Published: Publishing House for Science and Technology 2022-03-01
Series:Vietnam Journal of Mechanics
Subjects:
Online Access:https://vjs.ac.vn/index.php/vjmech/article/view/16852
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author Phuong H. Nguyen
Canh V. Le
Phuc L.H. Ho
author_facet Phuong H. Nguyen
Canh V. Le
Phuc L.H. Ho
author_sort Phuong H. Nguyen
collection DOAJ
description This paper presents a computational homogenization shakedown analysis of periodic perforated materials with von Mises matrices. The plastic behaviors of the perforated materials under cyclic macroscopic loads are studied by means of kinematic shakedown theorem and computational homogenization method. The kinematic micro-fields are approximated by the edge-based smoothed finite element method. The resulting large-scale optimization problem is efficiently solved by using conic solver, enabling a large number of points on the macroscopic strength and fatigue surface to be calculated rapidly. The effects of the hole's shape and size on the overall strength and fatigue domains are also investigated.
format Article
id doaj-art-80322dcbb4874995b3ebe5c4e9217de3
institution DOAJ
issn 0866-7136
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language English
publishDate 2022-03-01
publisher Publishing House for Science and Technology
record_format Article
series Vietnam Journal of Mechanics
spelling doaj-art-80322dcbb4874995b3ebe5c4e9217de32025-08-20T03:04:45ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822022-03-0144110.15625/0866-7136/16852Strength and fatigue analysis of periodic perforated materials using the computational homogenization and ES-FEM approachesPhuong H. Nguyen0https://orcid.org/0000-0001-7497-9467Canh V. Le1Phuc L.H. Ho2https://orcid.org/0000-0002-5794-805XDepartment of Civil Engineering, International University, Vietnam National University Ho Chi Minh City, VietnamDepartment of Civil Engineering, International University, Vietnam National University Ho Chi Minh City, Vietnam{Department of Civil Engineering, International University, Vietnam National University Ho Chi Minh City, Vietnam This paper presents a computational homogenization shakedown analysis of periodic perforated materials with von Mises matrices. The plastic behaviors of the perforated materials under cyclic macroscopic loads are studied by means of kinematic shakedown theorem and computational homogenization method. The kinematic micro-fields are approximated by the edge-based smoothed finite element method. The resulting large-scale optimization problem is efficiently solved by using conic solver, enabling a large number of points on the macroscopic strength and fatigue surface to be calculated rapidly. The effects of the hole's shape and size on the overall strength and fatigue domains are also investigated. https://vjs.ac.vn/index.php/vjmech/article/view/16852shakedown analysiscomputational homogenizationoverall plastic propertiesES-FEM
spellingShingle Phuong H. Nguyen
Canh V. Le
Phuc L.H. Ho
Strength and fatigue analysis of periodic perforated materials using the computational homogenization and ES-FEM approaches
Vietnam Journal of Mechanics
shakedown analysis
computational homogenization
overall plastic properties
ES-FEM
title Strength and fatigue analysis of periodic perforated materials using the computational homogenization and ES-FEM approaches
title_full Strength and fatigue analysis of periodic perforated materials using the computational homogenization and ES-FEM approaches
title_fullStr Strength and fatigue analysis of periodic perforated materials using the computational homogenization and ES-FEM approaches
title_full_unstemmed Strength and fatigue analysis of periodic perforated materials using the computational homogenization and ES-FEM approaches
title_short Strength and fatigue analysis of periodic perforated materials using the computational homogenization and ES-FEM approaches
title_sort strength and fatigue analysis of periodic perforated materials using the computational homogenization and es fem approaches
topic shakedown analysis
computational homogenization
overall plastic properties
ES-FEM
url https://vjs.ac.vn/index.php/vjmech/article/view/16852
work_keys_str_mv AT phuonghnguyen strengthandfatigueanalysisofperiodicperforatedmaterialsusingthecomputationalhomogenizationandesfemapproaches
AT canhvle strengthandfatigueanalysisofperiodicperforatedmaterialsusingthecomputationalhomogenizationandesfemapproaches
AT phuclhho strengthandfatigueanalysisofperiodicperforatedmaterialsusingthecomputationalhomogenizationandesfemapproaches