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

Ozgur Aslan , Emin Bayraktar (1, 2)

1 QUARTZ - Laboratoire QUARTZ
2 SUPMECA - SUPMECA - Institut supérieur de mécanique de Paris

The objective of this work is to present analytical solutions for several 2D model problemsto demonstrate the unique plastic fields generated by the implementation of micromorphic approachfor gradient plasticity. The approach is presented for finite deformations and several macroscopicand nonstandard microscopic boundary conditions are applied to a gliding plate to illustrate thecapability 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 forsoftening, hardening and perfect plastic response and corresponding solutions are provided. Theanalytical solutions are also shown to match with the numerical results obtained by implementing auser element subroutine (UEL) to the commercial finite element software Abaqus/Standard.

Mots clés: microplasticity; micromorphic; strain gradient plasticity; finite elements

Domaines: Matériaux; Mécanique des matériaux [physics.class-ph]

Ozgur Aslan, Emin Bayraktar. Analytical Solutions of Model Problems for Large-Deformation Micromorphic Approach to Gradient Plasticity. Applied Sciences, 2021, 11 (5), pp.2361. ⟨10.3390/app11052361⟩. ⟨hal-03161667⟩