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Descripción
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| A modified model that applies the Lagrange-Rayleigh dynamics (LR) with the Landau energetics is developed for the martensitic transformation (MT) in polycrystals. We define the order parameter via a coupling of local primary strain order parameter to grain orientation and then represent them with the displacement gradient in laboratory reference. Different from the existing LR-Landau model of MT, we solve the dissipative force equation of the reformulated local transformation stress in laboratory reference, enabling such crystallographic orientation relevant microstructural features in polycrystals as twin boundaries and habit planes, etc to be correctly described. Exemplifying in Square-to-Rectangle (SR) and Triangle-to-Centered Rectangle (TCR) MTs in polycrystalline ferroelastic materials, we update the existing LR-Landau modeling with the regularly organized changes of aforementioned microstructure signatures with respect to different grain orientations, which further allow to simulate morphology change under external loadings. Based on the analysis of martensitic microstructure and its evolution in depth, we demonstrate that the our simulated microstructure signatures in statics largely rest physical inherency with continuum mechanical interpretation of phenomenological theory of martensite crystallography (CM-PTMC), nevertheless, the implementation of the model with the under-damped dynamics predicts distinct transformation pathways of temporal evolution. | |
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Internacional
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JCR del ISI
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Título de la revista
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Modelling And Simulation in Materials Science And Engineering |
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ISSN
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0965-0393 |
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Factor de impacto JCR
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2,167 |
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Información de impacto
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Datos JCR del año 2014 |
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Volumen
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DOI
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Número de revista
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