Open Access

ARTICLE

Finite Element Implementation of the Exponential Drucker–Prager Plasticity Model for Adhesive Joints

Kerati Suwanpakpraek^1,3, Baramee Patamaprohm^1,3, Sacharuck Pornpeerakeat^2,3, Arisara Chaikittiratana^1,3,*
1 Department of Mechanical and Aerospace Engineering, Faculty of Engineering, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand
2 Department of Teacher Training in Civil Engineering, Faculty of Technical Education, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand
3 KMUTNB–TU Chemnitz Collaborative Center for Lightweight Structures Technologies (LiST), King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand
* Corresponding Author: Arisara Chaikittiratana. Email:

Computer Modeling in Engineering & Sciences 2023, 135(3), 1765-1778. https://doi.org/10.32604/cmes.2023.022523

Received 14 March 2022; Accepted 12 July 2022; Issue published 23 November 2022

Abstract

This paper deals with the numerical implementation of the exponential Drucker-Parger plasticity model in the commercial finite element software, ABAQUS, via user subroutine UMAT for adhesive joint simulations. The influence of hydrostatic pressure on adhesive strength was investigated by a modified Arcan fixture designed particularly to induce a different state of hydrostatic pressure within an adhesive layer. The developed user subroutine UMAT, which utilizes an associated plastic flow during a plastic deformation, can provide a good agreement between the simulations and the experimental data. Better numerical stability at highly positive hydrostatic pressure loads for a very high order of exponential function can also be achieved compared to when a non-associated flow is used.

---

Graphical Abstract

---

Keywords

Exponential Drucker-Prager model; modified-Arcan test; finite element analysis; plastic potential function

---