On the constitutive relations for isotropic and transversely isotropic materials

Citation

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

Abstract

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.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science Institute for Mathematical Research
DOI Number:	https://doi.org/10.1016/j.apm.2013.03.012
Publisher:	Elsevier
Keywords:	Strain space; Stress space; Constitutive relation; Softening materials; Isotropic; Transversely isotropic.
Depositing User:	Umikalthom Abdullah
Date Deposited:	10 Sep 2014 04:15
Last Modified:	07 Dec 2015 03:49
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.apm.2013.03.012
URI:	http://psasir.upm.edu.my/id/eprint/30241
Statistic Details:	View Download Statistic

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