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A tutorial on Bayesian inference to identify material parameters in solid mechanics

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Academic year: 2021

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Figure 1: The stress-strain response of (a) linear elastic-perfectly plastic model, (b) linear elastic-linear hardening model and (c) linear elastic-nonlinear hardening model during monotonic tension.
Figure 2: Schematic of the stress-strain measurements (red circles) of the ‘noise calibration experiments’, including the noise distributions (dashed)
Figure 4: Linear elasticity: The measurements, the posterior prediction and the stress-strain curves created using the posterior and mean for (a) one measurement and (b) ten measurements
Figure 5: Linear elasticity: The influence of the prior (i.e. the mean value and the standard deviation) on the resulting MAP point for different numbers of measurements
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