A constitutive model for Fe-based shape memory alloy considering martensitic transformation and plastic sliding coupling: Application to a finite element structural analysis

Autor: Alain Mikolajczak, Tarak Ben Zineb, Céline Bouby, Walid Khalil
Přispěvatelé: Laboratoire Énergies et Mécanique Théorique et Appliquée (LEMTA ), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Polytech Nancy / Ecole Supérieure des Sciences et Technologies de l'Ingénieur de Nancy (ESSTIN), Université de Lorraine (UL)
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Journal of Intelligent Material Systems and Structures
Journal of Intelligent Material Systems and Structures, SAGE Publications, 2012, 23 (10), pp.1143-1160. ⟨10.1177/1045389X12442014⟩
ISSN: 1045-389X
1530-8138
DOI: 10.1177/1045389X12442014⟩
Popis: In this article, we propose a finite element numerical tool adapted to a Fe-based shape memory alloy structural analysis, based on a developed constitutive model that describes the effect of phase transformation, plastic sliding, and their interactions on the thermomechanical behavior. This model was derived from an assumed expression of the Gibbs free energy taking into account nonlinear interaction quantities related to inter- and intragranular incompatibilities as well as mechanical and chemical quantities. Two scalar internal variables were considered to describe the phase transformation and plastic sliding effects. The hysteretic and specific behavior patterns of Fe-based shape memory alloy during reverse transformation were studied by assuming a dissipation expression. The proposed model effectively describes the complex thermomechanical loading paths. The numerical tool derived from the implicit resolution of the nonlinear partial derivative constitutive equations was implemented into the Abaqus® finite element code via the User MATerial (UMAT) subroutine. After tests to verify the model for homogeneous and heterogeneous thermomechanical loadings, an example of Fe-based shape memory alloy application was studied, which corresponds to a tightening system made up of fishplates for crane rails. The results we obtained were compared to experimental ones.
Databáze: OpenAIRE