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Modeling Heterogeneous Intragrain Deformations Using Finite Element Formulations

  • Paul Dawson
  • Jobie Gerken
  • Tito Marin
Chapter

Abstract

Polycrystalline materials exhibit deformation patterns that are heterogeneous both between and within crystals. The deformation heterogeneity within crystals can arise from variations of the crystallographic slip due to spatial variations in the stress driven by interactions among neighboring crystals. Typically, misorientations develop across crystals if the slip is not homogeneous. Furthermore, dislocations may accumulate within crystals, causing lattice distortion (elastic straining) and contributing to the stress. In this chapter, we summarize basic and extended crystal elastoplasticity formulations to address these effects. Finite element methodologies for both formulations are presented and examples of their use are discussed.

Keywords

Slip System Range Strain Orientation Distribution Function Lattice Orientation Fundamental Region 
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Notes

Acknowledgments

Support for this work has been provided by the Office of Naval Research under contract N00014-06-1-0241. Large scale simulations were conducted at the Cornell Theory Center.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Sibley School of Mechanical and Aerospace EngineeringCornell UniversityIthacaUSA

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