Interior point method based contact analysis algorithm for structural analysis of electronic device models
In this paper, we present an algorithm for frictionless contact problems of linear elastic bodies with multi-point constraints. Our algorithm is based on an interior point method and is developed for large scale stress analysis of electronic device models. Electronic devices consist of dozens of thi...
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The Japan Society of Mechanical Engineers
2015
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oai:doaj.org-article:ad33b49f45ed4a3e86ed5e34263c39f12021-11-26T06:27:48ZInterior point method based contact analysis algorithm for structural analysis of electronic device models2187-974510.1299/mej.15-00146https://doaj.org/article/ad33b49f45ed4a3e86ed5e34263c39f12015-07-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/2/4/2_15-00146/_pdf/-char/enhttps://doaj.org/toc/2187-9745In this paper, we present an algorithm for frictionless contact problems of linear elastic bodies with multi-point constraints. Our algorithm is based on an interior point method and is developed for large scale stress analysis of electronic device models. Electronic devices consist of dozens of thin parts such as liquid crystal displays, printed circuit boards and covers and these parts are placed layer by layer. Therefore, the finite element models contains so many discretized contact constraints and multi-point constraints that make convergence of contact states difficult to achieve. In our algorithm, multi-point constraints are removed by a quadratic penalty method at first, then a primal-dual interior point method is applied. We implemented our algorithm into FrontISTR, which is open-source and large scale finite element structural analysis software, and investigated its performance from simple contact models to actual electronic device models. The numerical experiments show that our algorithm is more efficient than an active set method with an penalty method for large models, although the convergency strongly depends on the parameter settings of a primal-dual interior point method.Kazuhisa INAGAKIGaku HASHIMOTOHiroshi OKUDAThe Japan Society of Mechanical Engineersarticlecontact probleminterior point methodfinite element methodelectronic device modelsMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 2, Iss 4, Pp 15-00146-15-00146 (2015) |
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DOAJ |
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contact problem interior point method finite element method electronic device models Mechanical engineering and machinery TJ1-1570 |
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contact problem interior point method finite element method electronic device models Mechanical engineering and machinery TJ1-1570 Kazuhisa INAGAKI Gaku HASHIMOTO Hiroshi OKUDA Interior point method based contact analysis algorithm for structural analysis of electronic device models |
description |
In this paper, we present an algorithm for frictionless contact problems of linear elastic bodies with multi-point constraints. Our algorithm is based on an interior point method and is developed for large scale stress analysis of electronic device models. Electronic devices consist of dozens of thin parts such as liquid crystal displays, printed circuit boards and covers and these parts are placed layer by layer. Therefore, the finite element models contains so many discretized contact constraints and multi-point constraints that make convergence of contact states difficult to achieve. In our algorithm, multi-point constraints are removed by a quadratic penalty method at first, then a primal-dual interior point method is applied. We implemented our algorithm into FrontISTR, which is open-source and large scale finite element structural analysis software, and investigated its performance from simple contact models to actual electronic device models. The numerical experiments show that our algorithm is more efficient than an active set method with an penalty method for large models, although the convergency strongly depends on the parameter settings of a primal-dual interior point method. |
format |
article |
author |
Kazuhisa INAGAKI Gaku HASHIMOTO Hiroshi OKUDA |
author_facet |
Kazuhisa INAGAKI Gaku HASHIMOTO Hiroshi OKUDA |
author_sort |
Kazuhisa INAGAKI |
title |
Interior point method based contact analysis algorithm for structural analysis of electronic device models |
title_short |
Interior point method based contact analysis algorithm for structural analysis of electronic device models |
title_full |
Interior point method based contact analysis algorithm for structural analysis of electronic device models |
title_fullStr |
Interior point method based contact analysis algorithm for structural analysis of electronic device models |
title_full_unstemmed |
Interior point method based contact analysis algorithm for structural analysis of electronic device models |
title_sort |
interior point method based contact analysis algorithm for structural analysis of electronic device models |
publisher |
The Japan Society of Mechanical Engineers |
publishDate |
2015 |
url |
https://doaj.org/article/ad33b49f45ed4a3e86ed5e34263c39f1 |
work_keys_str_mv |
AT kazuhisainagaki interiorpointmethodbasedcontactanalysisalgorithmforstructuralanalysisofelectronicdevicemodels AT gakuhashimoto interiorpointmethodbasedcontactanalysisalgorithmforstructuralanalysisofelectronicdevicemodels AT hiroshiokuda interiorpointmethodbasedcontactanalysisalgorithmforstructuralanalysisofelectronicdevicemodels |
_version_ |
1718409800874721280 |