Développement d'outils de dimensionnement d'applications en alliages à mémoire de forme à base Fer : prise en compte du couplage transformation de phase - glissement plastique

Abstract : The Fe-based shape memory alloys (SMAs) present a specific thermomechanical behaviour compared with classical SMAs. In this PhD thesis, experimental thermomechanical tests were performed in order to study such behavior. The applied loading is a tension followed by a significant heating. The loading cycle is repeated at different constant temperatures and maximum stresses. The experimental results show a coupling between two non linear inelastic mechanisms: phase transformation and plasticity. The reverse transformation activated only during heating, the effect of plastic strain on the transformation one, were also analysed. Taking into account all these specificities, a finite element numerical tool adapted to Fe-based SMA structural analysis is proposed. It is based on a developed constitutive model which describes the effect of phase transformation, plastic sliding and their interactions on the thermomechanical behavior. Two scalar internal variables were considered to describe phase transformation and plastic sliding effects. This model was derived from an assumed expression of the Gibbs free energy taking into account, in addition to mechanical and chemical quantities, the non linear interaction quantities related to inter- and intra-granular incompatibilities. The numerical tool derived from the implicit resolution of the non linear partial derivative constitutive equations was implemented in the Abaqus finite element code via the UMAT subroutine. After verification tests for homogeneous and heterogeneous thermo-mechanical loadings, two examples of Fe-based SMA applications were studied. They correspond to Fe-based SMA tightening systems: a fish plates for crane rails and a ring for tubes connection
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Walid Khalil. Développement d'outils de dimensionnement d'applications en alliages à mémoire de forme à base Fer : prise en compte du couplage transformation de phase - glissement plastique. Autre [cond-mat.other]. Université de Lorraine, 2012. Français. ⟨NNT : 2012LORR0021⟩. ⟨tel-01749167⟩

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