Numerical Simulation of Pseudoelastic Shape Memory Alloys using the Large Time Increment Method

Abstract : The paper presents a numerical implementation of the large time increment (LATIN) me- thod for the simulation of shape memory alloys (SMAs) in the pseudoelastic range. The method was initially proposed as an alternative to the conventional incremental approach for the integration of nonlinear constitutive models. It is adapted here for the simulation of pseudoelastic SMA behavior using the Zaki-Moumni (ZM) model and is shown to be especially useful in situations where the phase transformation process presents little or lack of hardening. In these situations, a slight stress variation in a load increment can result in large variations of strain and local state variables, which may lead to difficulties in numerical convergence. In contrast to the conventional incremental method, the LATIN method solve the global equilibrium and local consistency conditions sequentially for the entire loading path. The achieved solution must satisfy the conditions of static and kinematic admissibility and consistency simultaneously after several iterations. 3D numerical implementation is accomplished using an implicit algorithm and is then used for finite element simulation using the software Abaqus. Numerical results are contrasted to those obtained using step-by-step incremental integration.
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Submitted on : Tuesday, October 30, 2018 - 4:25:53 PM
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Xiaojun Gu, Ziad Moumni, Wael Zaki. Numerical Simulation of Pseudoelastic Shape Memory Alloys using the Large Time Increment Method. 13e colloque national en calcul des structures, Université Paris-Saclay, May 2017, Giens, Var, France. ⟨hal-01908933⟩

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