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Tensor Transformation and Crystal Orientation Effects on Properties

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Handbook of Materials Structures, Properties, Processing and Performance
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Abstract

A novel matrix can execute a transformation from one set of Cartesian axes to another by systematic rotations through angles α, β, and γ or Euler angles: ϕ, θ, and ψ. In effect, this allows tensor coefficients representing a crystal property measured in a specific orientation to be mathematically transformed into any other orientation, thereby eliminating the necessity to remeasure the property coefficients.

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References

  • Kocks UF, Tome CH, Werk H-R (2000) Texture and anisotropy preferred orientations in polycrystals and their effects on materials properties. Cambridge University Press, Cambridge, UK

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Correspondence to Lawrence E. Murr .

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© 2015 Springer International Publishing Switzerland

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Murr, L.E. (2015). Tensor Transformation and Crystal Orientation Effects on Properties. In: Handbook of Materials Structures, Properties, Processing and Performance. Springer, Cham. https://doi.org/10.1007/978-3-319-01815-7_20

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