4.7 Article

Three-dimensional crystal plasticity simulations using peridynamics theory and experimental comparison

Journal

INTERNATIONAL JOURNAL OF PLASTICITY
Volume 142, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijplas.2021.102991

Keywords

Peridynamics; Crystal plasticity; Continuum mechanics; Polycrystalline microstructure; Localization

Funding

  1. Air Force Office of Scientific Research Materials for Extreme Environments Program [FA9550-18-1-0091]
  2. National Science Foundation Graduate Research Fellowship Program [DGE 1256260]
  3. U.S. Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering [DE-SC0008637]

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A 3D PD model of crystal plasticity (CP) is presented for predicting fine-scale localization in polycrystalline microstructures, showing successful simulation results in comparison with experimental data and CPFEM. The PD model is able to simulate grain averaged strains and well-resolved regions of strain localization observed in experiments.
A three-dimensional (3D) peridynamics (PD) model of crystal plasticity (CP) is presented for predicting the fine-scale localization in polycrystalline microstructures undergoing elastoplastic deformation. Microscale data from electron microscopy and digital image correlation have indicated that slip localizations arise early in deformation and act as precursors to mechanical failure and fracture. However, classical numerical approaches such as crystal plasticity finite element methods (CPFEM) are generally unable to predict the emergence and distribution of such localizations. Alternatively, the PD formulation has attracted significant attention for its unique treatment of deformation in the presence of high strain gradient fields. In this paper, a mesh-free non-ordinary state-based PD technique is developed for simulating the elasto-plastic deformation of 3D polycrystalline aggregates of a magnesium alloy. This work presents the details of 3D polycrystal plasticity modeling using PD theory with experimental and CPFEM comparisons. The results from this model are validated against published experimental data for the stress-strain response and texture evolution. The crystal plasticity peridynamic (CPPD) models are successful in simulating grain averaged strains seen in the experiment and depict well-resolved regions of strain localization.

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