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Author: Bayraktar, EminSubject: finite elements

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    Citation - Scopus: 1
    Analytical Solutions of Model Problems for Large-Deformation Micromorphic Approach To Gradient Plasticity
    (Mdpi, 2021) Aslan, Ozgur; Bayraktar, Emin
    The objective of this work is to present analytical solutions for several 2D model problems to demonstrate the unique plastic fields generated by the implementation of micromorphic approach for gradient plasticity. The approach is presented for finite deformations and several macroscopic and nonstandard microscopic boundary conditions are applied to a gliding plate to illustrate the capability to predict the size effects and inhomogeneous plastic fields promoted by the gradient terms. The constitutive behavior of the material undergoing plastic deformation is analyzed for softening, hardening and perfect plastic response and corresponding solutions are provided. The analytical solutions are also shown to match with the numerical results obtained by implementing a user element subroutine (UEL) to the commercial finite element software Abaqus/Standard.
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    Citation - WoS: 5
    Citation - Scopus: 5
    A Large-Deformation Gradient Damage Model for Single Crystals Based on Microdamage Theory
    (Mdpi, 2020) Aslan, Ozgur; Bayraktar, Emin
    This work aims at the unification of the thermodynamically consistent representation of the micromorphic theory and the microdamage approach for the purpose of modeling crack growth and damage regularization in crystalline solids. In contrast to the thermodynamical representation of the microdamage theory, micromorphic contribution to flow resistance is defined in a dual fashion as energetic and dissipative in character, in order to bring certain clarity and consistency to the modeling aspects. The approach is further extended for large deformations and numerically implemented in a commercial finite element software. Specific numerical model problems are presented in order to demonstrate the ability of the approach to regularize anisotropic damage fields for large deformations and eliminate mesh dependency.