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Design of Microstructure Response Using a Complex Step Plasticity Approach

[+] Author Affiliations
Aswath Rangarajan, Veera Sundararaghavan

University of Michigan, Ann Arbor, MI

Paper No. IMECE2010-39011, pp. 37-44; 8 pages
  • ASME 2010 International Mechanical Engineering Congress and Exposition
  • Volume 1: Advances in Aerospace Technology
  • Vancouver, British Columbia, Canada, November 12–18, 2010
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4425-0
  • Copyright © 2010 by ASME


Microstructure-sensitive design is performed using a newly developed Multiscale Complex Step Method. Algorithmic implementation of the complex-step method is based on conventional multiscale Taylor or FE2 direct model, with the difference being that the microstructural deformation gradient is modeled as a complex number with a small imaginary component. We introduce methods to calculate derivatives of microstructural fields with respect to loading parameters. The sensitivities are used to identify optimal microstructures with desired elastic and plastic properties.

Copyright © 2010 by ASME
Topics: Plasticity , Design



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