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Analysis of Tikhonov Regularization on the Integral-Type Nonlocal Plasticity Model
Tikhonov regularization on the integral-type nonlocal plasticity model is proposed to obtain a mesh-independent solution of strain localization. A detailed parametric study on the Tikhonov-regularized model is carried out for a one-dimensional and a two-dimensional problem. The influence of the regularization parameter, the tolerance of the nonlocal yield criterion, and the internal length scale on the finite-element solutions are examined. The width of the localization zone was found to be six times the internal length scale for a Gaussian-type weighting function. The solutions of the two-dimensional shear banding problem are compared with those of the one-dimensional strain localization. With the proposed model, no additional boundary conditions have to be introduced in the constitutive level, and only continuity is needed at element interfaces.
Analysis of Tikhonov Regularization on the Integral-Type Nonlocal Plasticity Model
Tikhonov regularization on the integral-type nonlocal plasticity model is proposed to obtain a mesh-independent solution of strain localization. A detailed parametric study on the Tikhonov-regularized model is carried out for a one-dimensional and a two-dimensional problem. The influence of the regularization parameter, the tolerance of the nonlocal yield criterion, and the internal length scale on the finite-element solutions are examined. The width of the localization zone was found to be six times the internal length scale for a Gaussian-type weighting function. The solutions of the two-dimensional shear banding problem are compared with those of the one-dimensional strain localization. With the proposed model, no additional boundary conditions have to be introduced in the constitutive level, and only continuity is needed at element interfaces.
Analysis of Tikhonov Regularization on the Integral-Type Nonlocal Plasticity Model
Wu, Shouxin (author)
2017-07-12
Article (Journal)
Electronic Resource
Unknown
Analysis of Tikhonov Regularization on the Integral-Type Nonlocal Plasticity Model
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