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. Author manuscript; available in PMC: 2017 Apr 1.
Published in final edited form as: Ultramicroscopy. 2016 Feb 17;163:75–86. doi: 10.1016/j.ultramic.2016.02.001

Table 1.

Comparison of Deformation and Strain Prediction and Measurement Techniques

Technique Direct Output Calculated Quantity
FEA ui (x1, x3)
u3(x1, x3 = 0)
Aij (x1, x3) = ∂ui / ∂xj → εij (x1, x3) → Δω(x1, x3)
EBSD qkÃij (x1, x3 ≈ 0) Closure relation
Aij (x1, x3 ≈ 0) → εij (x1, x3 ≈ 0)
    →∫ A31 (x1, x3 ≈ 0)dx1 = u3 (x1, x3 ≈ 0)
AFM u3(x1, x3 = 0) u3 / ∂x1 = A31 (x1, x3 = 0)
CRM Δω(x1, x3 ≈ 0) Simple form of strain field → ε(x1, x3 ≈ 0)