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ARTICLE

Spectral Approaches for the Fast Computation of Yield Surfaces and First-Order Plastic Property Closures for Polycrystalline Materials with Cubic-Triclinic Textures

by Hamad F. Al-Harbi¹, Marko Knezevic¹, Surya R. Kalidindi¹

1 Department of Materials Science and Engineering, Drexel University, PA 19104
2 Scientific Forming Technologies Corporation, 2545 Farmers Drive, Columbus, OH 43235
3 Corresponding author. Department of Mechanical Engineering and Mechanics, Drexel University, PA 19104

Computers, Materials & Continua 2010, 15(2), 153-172. https://doi.org/10.3970/cmc.2010.015.153

Abstract

In recent work, we have demonstrated the viability and computational advantages of DFT-based spectral databases for facilitating crystal plasticity solutions in face-centered cubic (fcc) metals subjected to arbitrary deformation paths. In this paper, we extend and validate the application of these novel ideas to body-centered cubic (bcc) metals that exhibit a much larger number of potential slip systems. It was observed that the databases for the bcc metals with a larger number of slip systems were more compact compared to those obtained previously for fcc metals with a smaller number of slip systems. Furthermore, we demonstrate in this paper that these databases can be effectively used in the fast computation of yield surfaces predicted by the Taylor model for both fcc and bcc metals. As another demonstration of the many advantages of the novel DFT-based spectral databases, we present first-order plastic property closures based on the Taylor model for both fcc and bcc metals. This paper represents the first report of such closures produced without invoking any simplifying assumptions regarding sample symmetry.

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