Modelling large-deformation plasticity in metals with edge based smoothed finite element method

Modelling large-deformation plasticity in metals with edge based smoothed finite element method

Brar, Arshdeep Singh (TU Delft Aerospace Engineering)

Chen, B. (mentor)

Delft University of Technology

Aerospace Engineering

2022-10-27

The problem of modelling plasticity in materials has been investigated for the past 200 years. Standard theories on yielding for metals go back to the era of Tresca(1864) and von Mises(1913). The rapid rise of the finite element method and new testing techniques in the last few decades led to further research. This thesis aims to model large-deformation plasticity in metals using the Bai-Wierzbicki material plasticity model to account for local- ization and the effect of the stress state in the material. Further, a new element technology, the edge-based smoothed finite element method(ES-FEM), is used to increase the accuracy and convergence rate of the numerical solution. The scope of this thesis is limited to plane stress and plane strain plasticity but can be extended to 3D problems. This technique is implemented in ABAQUS using a user element(UEL) subroutine written in FORTRAN 95. The results show that the ES-FEM element performs more accurately than the traditional finite element for large-deformation plasticity problems.

Large Deformation
Plasticity
Edge based smoothed finite element method
Finite Element Method

http://resolver.tudelft.nl/uuid:9cd28013-ff91-4c03-a4b4-f116628bf6c1

https://github.com/arshdeep-brar/FN-ESFEM-uel Github link for the code

Student theses

master thesis

© 2022 Arshdeep Singh Brar