Application of exponential-based methods in integrating the constitutive equations with multicomponent nonlinear kinematic hardening / M. Rezaiee-Pajand in Journal of engineering mechanics, Vol. 136 N° 12 (Décembre 2010)  

Public ISBD [article]  inJournal of engineering mechanics > Vol. 136 N° 12 (Décembre 2010) . - pp.1502-1518 Titre : Application of exponential-based methods in integrating the constitutive equations with multicomponent nonlinear kinematic hardening Type de document : texte imprimé Auteurs : M. Rezaiee-Pajand, Auteur ; Cyrus Nasirai, Auteur ; Mehrzad Sharifian, Auteur Année de publication : 2011 Article en page(s) : pp.1502-1518 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Kinematics Plasticity Constitutive models Load factors Algorithms. Résumé : The von-Mises plasticity model, in the small strain regime, along with a class of multicomponent nonlinear kinematic hardening rules is considered. The material is assumed to be stabilized after several load cycles and therefore, isotropic hardening will not be accounted for. Application of exponential-based methods in integrating plasticity equations is provided, which is based on defining an augmented stress vector and using exponential maps to solve a system of quasi-linear differential equations. The solutions obtained by this new technique give very accurate updated stress values that are consistent with the yield surface. The classical forward Euler method is reformulated in details and applied to the multicomponent form of the nonlinear kinematic hardening in order to provide a comparison for the suggested technique. Moreover, a consistent tangent operator for the exponential-based integration strategy and also for the classical forward Euler algorithm is presented. In order to show the robustness and performance of the proposed formulation, an extensive numerical investigation is carried out. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v136/i12/p1502_s1?isAuthorized=no [article] Application of exponential-based methods in integrating the constitutive equations with multicomponent nonlinear kinematic hardening [texte imprimé] / M. Rezaiee-Pajand, Auteur ; Cyrus Nasirai, Auteur ; Mehrzad Sharifian, Auteur . - 2011 . - pp.1502-1518. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 136 N° 12 (Décembre 2010) . - pp.1502-1518 Mots-clés : Kinematics Plasticity Constitutive models Load factors Algorithms. Résumé : The von-Mises plasticity model, in the small strain regime, along with a class of multicomponent nonlinear kinematic hardening rules is considered. The material is assumed to be stabilized after several load cycles and therefore, isotropic hardening will not be accounted for. Application of exponential-based methods in integrating plasticity equations is provided, which is based on defining an augmented stress vector and using exponential maps to solve a system of quasi-linear differential equations. The solutions obtained by this new technique give very accurate updated stress values that are consistent with the yield surface. The classical forward Euler method is reformulated in details and applied to the multicomponent form of the nonlinear kinematic hardening in order to provide a comparison for the suggested technique. Moreover, a consistent tangent operator for the exponential-based integration strategy and also for the classical forward Euler algorithm is presented. In order to show the robustness and performance of the proposed formulation, an extensive numerical investigation is carried out. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v136/i12/p1502_s1?isAuthorized=no

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