A proper orthogonal decomposition approach to microstructure model reduction in Rodrigues space with applications to optimal control of microstructure-sensitive properties

@inproceedings{Acharjee2003APO,
  title={A proper orthogonal decomposition approach to microstructure model reduction in Rodrigues space with applications to optimal control of microstructure-sensitive properties},
  author={Swagato Acharjee},
  year={2003}
}
  • Swagato Acharjee
  • Published 2003
A novel reduced-order modeling approach to represent crystallographic texture in polycrystals is presented. This method involves generation of a reduced orthogonal basis for representing polycrystal texture in Rodrigues space. The reduced basis is generated from the textures obtained from different deformation modes (shear, uniaxial tension, etc.) using proper orthogonal decomposition and the method of snapshots. This model reduction can account for all essential information needed to describe… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 20 references

Modeling crystallographic texture evolution over neo-Eulerian orientation spaces

A Kumar, PR Dawson
Comput Meth Appl Mech Engng • 1998
View 4 Excerpts
Highly Influenced

The mechanics of crystals and textured polycrystals

WF Hosford
1993
View 4 Excerpts
Highly Influenced

Microstructure-sensitive design of a compliant beam

BL Adams, A Henrie, +3 authors H. Garmestani
J Mech Phys Solids • 2001
View 2 Excerpts

Modeling and control of physical processes using proper orthogonal decomposition

HV Ly, HT Trans
Math Comp Model 2001;33:223–36 • 2001

A reduced-order approach for optimal control of fluids using proper orthogonal decomposition

SS Ravindran
Int J Num Meth Fluids • 2000

Similar Papers

Loading similar papers…