Generalized grain cluster method for multiscale response of multiphase materials

Journal Article (2015)
Author(s)

S. Yadegari Varnamkhasti (TU Delft - Aerospace Structures & Computational Mechanics)

S.R. Turteltaub (TU Delft - Aerospace Structures & Computational Mechanics)

ASJ Suiker (Eindhoven University of Technology)

Research Group
Aerospace Structures & Computational Mechanics
Copyright
© 2015 S. Yadegari Varnamkhasti, S.R. Turteltaub, A.S.J. Suiker
DOI related publication
https://doi.org/10.1007/s00466-015-1167-9
More Info
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Publication Year
2015
Language
English
Copyright
© 2015 S. Yadegari Varnamkhasti, S.R. Turteltaub, A.S.J. Suiker
Research Group
Aerospace Structures & Computational Mechanics
Issue number
2
Volume number
56
Pages (from-to)
193-219
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Abstract

A multiscale approach termed the generalized grain cluster method (GGCM) is presented, which can be applied for the prediction of the macroscopic behavior of an aggregate of single crystal grains composing a multiphase material. The GGCM is based on the minimization of a functional that depends on the microscopic deformation gradients in the grains through the equilibrium requirements of the grains as well as kinematic compatibility between grains. By means of the specification of weighting factors it is possible to mimic responses falling between the Taylor and Sachs bounds. The numerical solution is computed with an incremental-iterative algorithm based on a constrained gradient descent method. For a multiscale analysis, the GCCM can be included at integration points of a standard finite element code to simulate macroscopic problems. A comparison with FEM direct numerical simulations illustrates that the computational time of the GGCM may be up to about an order of magnitude lower.