A TWO-STEP IDENTIFICATION PROCEDURE FOR THE IDENTIFICATION OF DISTRIBUTED MATERIAL CONSTITUTIVE PARAMETERS FROM SURFACE DISPLACEMENT MEASUREMENTS

The present work describes an inverse identification technique based on the finite element model updating for computing the spatial distribution of Young’s modulus using full-field displacement data obtained from digital image correlation. The problem is formulated as a Tikhonov-regularized of a minimization problem of a data discrepancy functional using the equilibrium equations as constraints. The gradient of the objective functional is evaluated using the adjoint method; a spatial filtering is introduced to the gradient image during the iterative process to improve the numerical stability in the presence of noise in displacement data. Numerical example is presented to demonstrate the performance of the presented methodology