Solving Inverse Couple Stress Problem via Regularization Method

Tikhonov′s regularization approach has been used to identify parameters for the inverse couple-stress problem based on Bregman distances and weighted Bregman distances in the construction of regularization terms for the Tikhonov's function.The inverse problem is formulated implicitly as an optimization problem with the cost functional of squared residues between calculated and measured quantities.A FE model is given,taking account of inhomogeneity and facilitating to sensitivity analysis for direct and inverse problems.Satisfactory numerical validation is given including a preliminary investigation of effect of noise data on the results and the computational efficiency for different regularization terms.Results show that the proposed method can identify parameters for the inverse couple-stress problem with high computational precision/efficiiency and the ability of anti-noisy data.It could improve computational efficiency for the weighted Bregman distances function as regularization terms.