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Multiscale modeling of heterogeneous materials : application to Shape Memory Alloys

Abstract : The main aim of this thesis is to develop advanced and efficient multiscale modeling and simulation techniques for Shape Memory Alloys (SMAs) composite and architected materials. Towards this end, a 3D generic multiscale model for architected SMAs is implemented in ABAQUS, where a thermodynamic model, proposed by Chemisky et al. [1], is adopted to describe the local constitutive behavior of the SMA, and the multiscale finite element method (FE2) to realize the real-time interaction between the microscopic and macroscopic levels. Microscopic fiber instability is also efficiently investigated in this framework by introducing the Asymptotic Numerical Method (ANM) and the Technique of Slowly Variable Fourier Coefficients (TSVFC). To improve the computational efficiency of the concurrent mulitscale approach, in which tremendous microscopic problems are solved online to update macroscopic stress, data-driven multiscale computing methods are proposed for composite structures. Decoupling the correlated scales in concurrent FE2 framework, microscopic problems are solved offline, while the online macroscopic computational cost is significantly reduced. Further, by formulating the data-driven scheme in generalized stress and strain, Structural-Genome-Driven computing is developed for thin-walled composite structures.
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https://hal.univ-lorraine.fr/tel-02958805
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Submitted on : Tuesday, October 6, 2020 - 11:40:46 AM
Last modification on : Wednesday, October 7, 2020 - 3:35:04 AM

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  • HAL Id : tel-02958805, version 1

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Rui Xu. Multiscale modeling of heterogeneous materials : application to Shape Memory Alloys. Materials Science [cond-mat.mtrl-sci]. Université de Lorraine; Université de Wuhan (Chine), 2020. English. ⟨NNT : 2020LORR0066⟩. ⟨tel-02958805⟩

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