An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials

Ricardo A. Lebensohn, Anand K. Kanjarla, Philip Eisenlohr

Research output: Research - peer-reviewArticle

  • 115 Citations

Abstract

We present the infinitesimal-strain version of a formulation based on fast Fourier transforms (FFT) for the prediction of micromechanical fields in polycrystals deforming in the elasto-viscoplastic (EVP) regime. This EVP extension of the model originally proposed by Moulinec and Suquet to compute the local and effective mechanical behavior of a heterogeneous material directly from an image of its microstructure is based on an implicit time discretization and an augmented Lagrangian iterative procedure. The proposed model is first benchmarked, assessing the corresponding elastic and viscoplastic limits, the correct treatment of hardening, rate-sensitivity and boundary conditions, and the rate of convergence of the numerical method. In terms of applications, the EVP-FFT model is next used to examine how single crystal elastic and plastic directional properties determine the distribution of local fields at different stages of deformation.

LanguageEnglish (US)
Pages59-69
Number of pages11
JournalInternational Journal of Plasticity
Volume32-33
DOIs
StatePublished - May 2012
Externally publishedYes

Profile

Polycrystalline materials
Fast Fourier transforms
Polycrystals
Hardening
Numerical methods
Boundary conditions
Single crystals
Plastics
Microstructure

Keywords

  • A. Microstructures
  • B. Anisotropic material
  • B. Crystal plasticity
  • B. Elastic-viscoplastic material
  • B. Polycrystalline material

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)

Cite this

An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials. / Lebensohn, Ricardo A.; Kanjarla, Anand K.; Eisenlohr, Philip.

In: International Journal of Plasticity, Vol. 32-33, 05.2012, p. 59-69.

Research output: Research - peer-reviewArticle

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