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Forming limit prediction using a self-consistent crystal plasticity framework: a case study for body-centered cubic

Youngung Jeong1,2, Minh-Son Pham1,3, Mark Iadicola1

  • 1NIST Center for Automotive Lightweighting, National Institute of Standards and Technology, Gaithersburg, MD, USA.

Modelling and Simulation in Materials Science and Engineering
|June 16, 2021
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Summary
This summary is machine-generated.

Crystallographic texture significantly impacts the formability of BCC materials, influencing forming limit diagrams. The study found that the r-value, while related to forming limit stress, is not a reliable predictor of forming limit strain.

Keywords:
anisotropycrystal plasticityforming limit diagramtexture

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Computational Modeling

Background:

  • Anisotropy in BCC materials affects their formability.
  • Crystallographic texture plays a crucial role in material behavior during deformation.

Purpose of the Study:

  • To investigate the influence of crystallographic texture on the forming limits of BCC materials.
  • To develop and utilize an efficient computational model for analyzing forming limits.

Main Methods:

  • Incorporation of a rate-dependent self-consistent crystal plasticity model with the Marciniak-Kuczyński model.
  • Parallel computation significantly improved simulation speed (24x).
  • Simulation of various BCC textures including gamma, sigma, alpha, eta, epsilon fibers, and random texture.

Main Results:

  • Crystallographic texture has a significant impact on forming limit diagrams, with both positive and negative effects observed.
  • The gamma fiber texture showed varied forming limits depending on the strain path (highest in balanced biaxial, lowest in plane strain).
  • The r-value does not reliably predict forming limit strain but correlates with forming limit stress.

Conclusions:

  • The developed VPSC-FLD model provides a comprehensive tool for studying texture effects on formability.
  • Forming limit diagrams are highly sensitive to crystallographic texture in BCC materials.
  • Relying solely on the r-value for predicting formability can be misleading.