NONLOCAL PLASTICITY FORMULATION INCORPORATING GRADIENT OF KINEMATIC HARDENING

Abstract eng:
In this proposed work, nonlocal behavior is introduced through the second gradient of kinematic hardening models in order to introduce a microstructural characteristic length into the model and in order to introduce long-range microstructural interactions that allow the response of a material point to depend on the state of its neighborhood in addition to the state of the point itself. It is intended to develop a consistent and systematic framework for the gradient approach that will enable one to better understand the nonlocal effects of material inhomogeneity on the macroscopic behavior and the material instabilities. The internal state variables and the corresponding gradient terms are assumed to be independent internal state variables with respect to each other with different physical interpretations and initial conditions which allows these two different physical phenomena to be identified separately. The second order gradient of the kinematic hardening is introduced through the Helmholtz free energy and through the plastic potential function. Computational issues of the gradient approach are introduced in a form that can be applied using the finite element approach.

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