Parameter identification via a modified constrained minimization procedure

Abstract eng:
Snmmafl This paper introduces a modified formulation of the objective fiinction to solve the inverse problem in elasticity posed as a constrained and regularized minimization method. Hereby, the displacement correlation term in the modified version of the objective function is weighted spatially with a strain dependent function and the regularization term is post adjusted from the prior solution. We test this novel procedure using a well-chosen 2D numerical example and compare it with the solution from the conventional formulation. We observe that the modified formulation has significantly reduced sensitivity towards altered boundary conditions and the shear modulus contrast improves drastically while preserving overall smoothness. The problem is then generalized and analyzed with a 1D analogue, elucidating the observations in the 2D continuum problem.

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