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Table 4 Systematic and random errors (in %) between FE and synthetic grid deformation data.

From: A Novel Image-based Ultrasonic Test to Map Material Mechanical Properties at High Strain-rates

  no smoothing smoothed k = 7
Displacement 0.2±1.7 6.7±0.6
Strain 0.4±11.0 6.7±2.7
Acc. (finite diff.) 0.6±12.9 7.2±1.5
Acc. (harm.) 0.2±1.7 6.7±0.6
Stress (finite diff.) 0.1±5.7 7.0±1.2
Stress (harm.) 0.2±1.0 6.6±0.8
Young’s modulus (finite diff.) 2.8±3.1 1.4±1.8
Young’s modulus (harm.) 1.5±3.2 0.8±1.8
  1. The image noise was 3.5 % of the grey level value and the displacement amplitude ± 30 μ m. Smoothing was Gaussian with kernel k, in space for strains, and in time for acceleration (finite difference). Data provided as systematic±random error