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Article

Analytical Solutions of Model Problems for Large-Deformation Micromorphic Approach to Gradient Plasticity

1
Department of Mechanical Engineering, Atilim University, Ankara 06830, Turkey
2
Mechanical and Manufacturing Engineering School, Supmeca-Paris, 93400 Saint-Ouen, France
*
Author to whom correspondence should be addressed.
Academic Editor: Ana Paula Betencourt Martins Amaro
Appl. Sci. 2021, 11(5), 2361; https://doi.org/10.3390/app11052361
Received: 19 February 2021 / Revised: 28 February 2021 / Accepted: 1 March 2021 / Published: 7 March 2021
(This article belongs to the Special Issue Selected Papers from MMSE 2021)
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. View Full-Text
Keywords: strain gradient plasticity; micromorphic; microplasticity; finite elements strain gradient plasticity; micromorphic; microplasticity; finite elements
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MDPI and ACS Style

Aslan, O.; Bayraktar, E. Analytical Solutions of Model Problems for Large-Deformation Micromorphic Approach to Gradient Plasticity. Appl. Sci. 2021, 11, 2361. https://doi.org/10.3390/app11052361

AMA Style

Aslan O, Bayraktar E. Analytical Solutions of Model Problems for Large-Deformation Micromorphic Approach to Gradient Plasticity. Applied Sciences. 2021; 11(5):2361. https://doi.org/10.3390/app11052361

Chicago/Turabian Style

Aslan, Ozgur, and Emin Bayraktar. 2021. "Analytical Solutions of Model Problems for Large-Deformation Micromorphic Approach to Gradient Plasticity" Applied Sciences 11, no. 5: 2361. https://doi.org/10.3390/app11052361

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