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On the constitutive relations for isotropic and transversely isotropic materials

In this work the strain and stress spaces constitutive relations for isotropic and transversely isotropic softening materials are developed. The loading surface is considered in the strain space and the normality rule; the stress relaxation is proportional to the gradient of the loading surface, is...

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Main Authors: Nik Long, Nik Mohd Asri, Khaidjigitov, A. A., Adambaev, U.
Format: Article
Language:English
English
Published: Elsevier 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30241/1/On%20the%20constitutive%20relations%20for%20isotropic%20and%20transversely%20isotropic%20materials.pdf
http://psasir.upm.edu.my/id/eprint/30241/
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spelling my.upm.eprints.302412015-12-07T03:49:36Z http://psasir.upm.edu.my/id/eprint/30241/ On the constitutive relations for isotropic and transversely isotropic materials Nik Long, Nik Mohd Asri Khaidjigitov, A. A. Adambaev, U. In this work the strain and stress spaces constitutive relations for isotropic and transversely isotropic softening materials are developed. The loading surface is considered in the strain space and the normality rule; the stress relaxation is proportional to the gradient of the loading surface, is adopted. It is found that the strain space plasticity theory allows us to describe the hardening, perfectly plastic and softening materials more accurately. The validity of the strain space constitutive relation for transversely isotropic materials are confirmed by comparing with the experimental data for fiber reinforced composite materials. Some numerical examples in two and three dimensional elasto-plastic problems for various loading–unloading conditions are presented, and give a very good agreement with the existing results. Elsevier 2013-08-01 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30241/1/On%20the%20constitutive%20relations%20for%20isotropic%20and%20transversely%20isotropic%20materials.pdf Nik Long, Nik Mohd Asri and Khaidjigitov, A. A. and Adambaev, U. (2013) On the constitutive relations for isotropic and transversely isotropic materials. Applied Mathematical Modelling, 37 (14-15). pp. 7726-7740. ISSN 0307-904X 10.1016/j.apm.2013.03.012 English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description In this work the strain and stress spaces constitutive relations for isotropic and transversely isotropic softening materials are developed. The loading surface is considered in the strain space and the normality rule; the stress relaxation is proportional to the gradient of the loading surface, is adopted. It is found that the strain space plasticity theory allows us to describe the hardening, perfectly plastic and softening materials more accurately. The validity of the strain space constitutive relation for transversely isotropic materials are confirmed by comparing with the experimental data for fiber reinforced composite materials. Some numerical examples in two and three dimensional elasto-plastic problems for various loading–unloading conditions are presented, and give a very good agreement with the existing results.
format Article
author Nik Long, Nik Mohd Asri
Khaidjigitov, A. A.
Adambaev, U.
spellingShingle Nik Long, Nik Mohd Asri
Khaidjigitov, A. A.
Adambaev, U.
On the constitutive relations for isotropic and transversely isotropic materials
author_facet Nik Long, Nik Mohd Asri
Khaidjigitov, A. A.
Adambaev, U.
author_sort Nik Long, Nik Mohd Asri
title On the constitutive relations for isotropic and transversely isotropic materials
title_short On the constitutive relations for isotropic and transversely isotropic materials
title_full On the constitutive relations for isotropic and transversely isotropic materials
title_fullStr On the constitutive relations for isotropic and transversely isotropic materials
title_full_unstemmed On the constitutive relations for isotropic and transversely isotropic materials
title_sort on the constitutive relations for isotropic and transversely isotropic materials
publisher Elsevier
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30241/1/On%20the%20constitutive%20relations%20for%20isotropic%20and%20transversely%20isotropic%20materials.pdf
http://psasir.upm.edu.my/id/eprint/30241/
_version_ 1643829999477719040
score 13.211869

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