HYPO-ELASTICITY MODELS AND ITS INTEGRABILITY PROPERTIES

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ABBASI KHAZAEI B.; HABIBI PARSA M.

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Journal: Year:2008 | Volume:41 | Issue:8 (110) Page(s): 1011-1021

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Title

HYPO-ELASTICITY MODELS AND ITS INTEGRABILITY PROPERTIES

Author(s)

ABBASI KHAZAEI B. | HABIBI PARSA M. | Issue Writer Certificate

Keywords

ELASTICITYQ4

HYPOQ3

RESIDUAL ENERGYQ3

STRESS INTEGRATION ALGORITHMSQ3

STRESS RATEQ3

Abstract

In this study, Eulerian ELASTICITY theory based upon the logarithmic STRESS RATE was coded in the finite element formulation for large strain and large rotation cases. Modified Newton algorithm and algorithmic tangent module were used for solving of the nonlinear equations. In order to verify finite element code, numerical and analytical results in simple shear problem were compared. The results show that two and three dimensional finite element implementation are effective. In this study, consistency integrability properties of some HYPO-ELASTICITY models such as logarithmic, Jaumann, Green-Naghdi, Eulerian and Lagrangian triad based rates also Truesdell and Cotter-Rivlin rates were discussed by means of finite element determination of dissipation energy at the end of three dimensional elastic closed deformation paths. Results showed that, among all the STRESS RATEs studied here, only logarithmic rate has presented no dissipation energy at the end of three dimensional elastic closed deformation paths. This study underlines some results previously obtained by other researchers, i.e., among all considered STRESS RATEs, the logarithmic rate manifests the best result in respect of ELASTICITY requirements. In this study, some STRESS INTEGRATION ALGORITHMS such as Hughes-Wingt and Zhou-Tamma algorithms were compared in the simple shear test and a modified algorithm was presented. Results show that integration time and precision have been improved by using modified algorithm.

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APA: Copy

ABBASI KHAZAEI, B., & HABIBI PARSA, M.. (2008). HYPO-ELASTICITY MODELS AND ITS INTEGRABILITY PROPERTIES. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), 41(8 (110)), 1011-1021. SID. https://sid.ir/paper/14388/en

Vancouver: Copy

ABBASI KHAZAEI B., HABIBI PARSA M.. HYPO-ELASTICITY MODELS AND ITS INTEGRABILITY PROPERTIES. JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN)[Internet]. 2008;41(8 (110)):1011-1021. Available from: https://sid.ir/paper/14388/en

IEEE: Copy

B. ABBASI KHAZAEI, and M. HABIBI PARSA, “HYPO-ELASTICITY MODELS AND ITS INTEGRABILITY PROPERTIES,” JOURNAL OF FACULTY OF ENGINEERING (UNIVERSITY OF TEHRAN), vol. 41, no. 8 (110), pp. 1011–1021, 2008, [Online]. Available: https://sid.ir/paper/14388/en

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