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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| Format: | Article |
| Language: | English English |
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Elsevier
2013
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| Online Access: | http://psasir.upm.edu.my/id/eprint/30241/1/On%20the%20constitutive%20relations%20for%20isotropic%20and%20transversely%20isotropic%20materials.pdf |
| _version_ | 1825947668044578816 |
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| author | Nik Long, Nik Mohd Asri Khaidjigitov, A. A. Adambaev, U. |
| author_facet | Nik Long, Nik Mohd Asri Khaidjigitov, A. A. Adambaev, U. |
| author_sort | Nik Long, Nik Mohd Asri |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T08:16:54Z |
| format | Article |
| id | upm.eprints-30241 |
| institution | Universiti Putra Malaysia |
| language | English English |
| last_indexed | 2024-03-06T08:16:54Z |
| publishDate | 2013 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Nik Long, Nik Mohd Asri Khaidjigitov, A. A. Adambaev, U. On the constitutive relations for isotropic and transversely isotropic materials |
| title | 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_short | On the constitutive relations for isotropic and transversely isotropic materials |
| title_sort | on the constitutive relations for isotropic and transversely isotropic materials |
| url | http://psasir.upm.edu.my/id/eprint/30241/1/On%20the%20constitutive%20relations%20for%20isotropic%20and%20transversely%20isotropic%20materials.pdf |
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