Work

Implementation of Hencky’s elasticity model in Abaqus UELs for robust modelling of finite deformation

Year: 2026

Type: article

Abstract: Hencky’s elasticity model extends Hooke’s law from infinitesimal to large deformation and has been shown to accurately describe the mechanical behavior of materials at moderately large deformation. However, the native implementation of Hencky's model in Abaqus yields poor convergence. In this work, Abaqus user element subroutines (UELs) are developed to address this issue. Consistent tangent moduli are derived within a total Lagrangian framework to ensure robust convergence. Several benchmark examples demonstrate that the developed UELs can robustly model large-scale finite deformations with substantially improved convergence compared to the Abaqus built-in implementation. The developed UELs are of practical value for research and industry applications and have been made publicly available as supplementary materials.

Source: Advances in Engineering Software

DOI: 10.1016/j.advengsoft.2026.104324

Authors: Yin Liu, David William Rosen

Institutions: Agency for Science, Technology and Research, Institute of Advanced Intelligence and Computing

Language: English

Topic: Elasticity and Material Modeling

Subfield: Biomedical Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,810

Funder: Agency for Science, Technology and Research