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A Model for Iron-Based Shape Memory Alloys Considering Variable Elastic Stiffness and Coupling Between Plasticity and Phase Transformation

Abstract : The paper presents a new constitutive model for iron-based shape memory alloys (Fe-SMAs) adapted from the ZM model initially proposed for Nitinol by Zaki and Moumni [JMPS2007]. The model introduces nonlinear hardening terms to account for interactions between the grains, martensite variants and slip systems that may exist within a volume element of the material. The expressions used for the hardening terms are similar to those in (Khalil et al. [JIMSS2012]). The equations of the model are derived from the expression of a Helmholtz free energy potential, with complementary loading conditions obtained within the framework of generalized standard materials with internal constraints. A detailed derivation of the implicit algorithm used for the integration of the model is provided and used for numerical simulations that are shown to agree with experimental data.
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https://hal.univ-lorraine.fr/hal-01445256
Contributor : Lemta Ul <>
Submitted on : Tuesday, January 24, 2017 - 4:38:06 PM
Last modification on : Monday, March 29, 2021 - 4:03:06 PM

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Cheikh Cisse, Wael Zaki, Tarak Ben Zineb. A Model for Iron-Based Shape Memory Alloys Considering Variable Elastic Stiffness and Coupling Between Plasticity and Phase Transformation. ASME 2015 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Sep 2015, Colorado Springs, CO, United States. ⟨10.1115/SMASIS2015-8875⟩. ⟨hal-01445256⟩

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