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

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2021

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Mdpi

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Mechanical Engineering
(2009)
The Atılım University Department of Mechanical Engineering started education in 2009, and offers graduate and doctorate degree programs, in addition to its undergraduate program. Our main goal is to graduate Mechanical Engineers who have the skills to design, analyze and synthesize; who are able to convert advanced technology and innovations into products; and who have the culture of research and cooperation. While our graduates reach this goal, they adopt the principle of life-long learning, and develop a sense of entrepreneurship, paying importance to professional ethics. With a curriculum prepared in line with the criteria of MÜDEK, we help our students develop themselves professionally, and socially. Graduates of mechanical engineering may be employed in many sectors and in a wide array of positions. Able to work under any field that involves production and energy conversion, graduates of the department may also gain expertise in fields such as aviation, automotive, or material engineering.

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Abstract

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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aslan, ozgur/0000-0002-1042-0805; BAYRAKTAR, Emin/0000-0003-0644-5249

Keywords

strain gradient plasticity, micromorphic, microplasticity, finite elements

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11

Issue

5

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https://doi.org/10.3390/app11052361
 https://hdl.handle.net/20.500.14411/1901

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