4.7 Article

Comparative assessment of backstress models using high-energy X-ray diffraction microscopy experiments and crystal plasticity finite element simulations

Journal

INTERNATIONAL JOURNAL OF PLASTICITY
Volume 136, Issue -, Pages -

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijplas.2020.102887

Keywords

Cyclic plasticity; Back stress; Armstrong-Frederick; Geometrically necessary dislocation (GND); Backstress saturation

Funding

  1. DARPA [HROO11-12-C-0037]
  2. National Science Foundation [CMMI 16-51956, DMR-1332208]
  3. DARPA

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Crystal plasticity (CP) models have been evolving with the help of advanced experimental characterization methods such as high energy X-ray diffraction microscopy (HEDM). This study used HEDM to assess two kinematic hardening models in the context of CP, finding that the GND-based model can capture cyclic crystal plasticity response. This validation effort is expected to bring CP models one step closer to implementation in modern engineering workflow.
Crystal plasticity (CP) models have been evolving since their inception. Advanced experimental characterization methods have contributed significantly to assess the performance and subsequent improvement of many empirical relations in CP, which were directly adopted from classical plasticity theories of solids at the macro-scale. In this research, high energy X-ray diffraction microscopy (HEDM) has been used to track the stress-state of individual grains within a polycrystalline aggregate of a Nickel-base superalloy subjected to cyclic loading. Using path dependent, mesoscopic stress-states from the HEDM experiment, the performance of two kinematic hardening models, in the context of CP, has been assessed. One of the models is an empirical Armstrong-Frederick equation, and the other is a geometrically necessary dislocation (GND)-based phenomenological model. The results suggest that the GND-based model is capable of capturing the cyclic crystal plasticity response. The present validation efforts are expected to take CP models one step closer towards their implementation in modern engineering workflow.

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