4.7 Article

Dual-interface model for twinning in the coupled crystal plasticity finite element-Phase field method

Journal

INTERNATIONAL JOURNAL OF PLASTICITY
Volume 158, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijplas.2022.103441

Keywords

Twinning; Interface; Finite element method; Phase field; Mesh sensitivity

Funding

  1. Science Challenge Project [TZ2018001]
  2. National Natural Science Foundation of China [52071210, 51801122]
  3. Science and Technology Commission of Shanghai [21ZR1430800]
  4. Major Science and Technology Project of Precious Metal Materials Genetic Engineering in Yunnan Province [2019ZE001-1, 202002AB080001-6]

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In this study, a dual-interface model is proposed to simulate the migration of interfaces and plastic deformation in crystals. The model integrates a constrained-sharp interface in finite element method for deformation fields and a refined-diffuse interface in phase field method for domain evolution. By utilizing a multi-classifier neural network fitting, the dual-interface model effectively diminishes the mesh sensitivity and improves the accuracy of simulation.
Crystallographic shear transformation banding such as deformation twinning and martensitic transformation accommodates plastic deformation and generates new domain with different orientation or phase in matrix. The evolution of a new domain is described by the migration of interfaces separating the domain from the matrix. A coupled crystal plasticity finite element (CPFE) - phase field (PF) method is thus developed to simulate the migration of interfaces and plastic deformation. We propose a dual-interface model that integrates the constrained-sharp interface in FE method to solve the deformation fields, and the refined-diffuse interface in PF method to solve the domain evolution. The constrained-sharp interface in FE consists of one transition element between matrix and new domain. The refined-diffuse interface is locally extracted from the constrained-sharp interface by multi-classifier neural network fitting. Such a smoothing technique rubs off the jaggies of the constrained-sharp interface by a smooth function and thus diminishes mesh sensitivity of interface. Finally, we implemented the dual-interface model into the coupled CPFE-PF method and demonstrated the capability of diminishing mesh sensitivity in modelling deformation twinning.

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