Skip to main content

Research Repository

Advanced Search

An Eigendecomposition-based and Mesh-sensitivity Reduced Constitutive Model for Nonlinear Analysis of Concrete Structures under Non-proportional Cyclic Loading

Yuen, Terry Y.P.; Wen, Tzu-Han; Hung, Chung-Chan; Zhang, Hexin; Huy Pham, Phu Anh; Deng, Yu


Terry Y.P. Yuen

Tzu-Han Wen

Chung-Chan Hung

Phu Anh Huy Pham

Yu Deng


Emerging 3D printed concrete techniques has raised numerous possibilities in contemporary architectural creations that are often beyond the scope of prevailing structural design standards. Rigorous, three-dimensional, and nonlinear finite element analysis (NLFEA) with appropriate constitutive modelling of materials would be inevitable when analysing complex structures. However, many existing concrete models could hardly handle those structures' complicated behaviour, including crack-induced anisotropy, changeable stress transfer mechanisms, shear-slip and re-contact, mesh-size sensitivity, etc. Hence, this paper has developed a novel and experimentally validated constitutive model to tackle the above issues. The novel features include (1) highly robust total-strain formulation, (2) cyclic normal and tangential stress-strain responses, (3) a novel algorithm for uniquely fixing the 3D crack plane coordinate, (4) the equivalent strain transformation for modelling the axial-lateral strain interaction, (5) shear-slip and re-contact behaviour of cracks, and (6) mesh-size sensitivity mitigation. The proposed model was implemented into ABAQUS’s user-subroutine and applied to simulate a full-scale column test with specimen height = 5 m. The tested column, subjected to a constant vertical load and a cyclic load in the horizontal direction, failed in shear. The simulation can capture the damage evolutions and hysteresis response of the tested column. Hence, the proposed modelling framework could serve as a basis for analysing and designing concrete structures with unconventional shapes under non-proportional loading.

Journal Article Type Article
Acceptance Date Dec 11, 2021
Online Publication Date Dec 18, 2021
Publication Date Apr 15, 2022
Deposit Date Dec 11, 2021
Publicly Available Date Dec 19, 2022
Journal Journal of Building Engineering
Electronic ISSN 2352-7102
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 47
Article Number 103875
Keywords Constitutive model; anisotropy; shear-slip and re-contact; mesh-sensitivity reduced; non-proportional loading; concrete; finite element
Public URL
Publisher URL


An Eigendecomposition-based And Mesh-sensitivity Reduced Constitutive Model For Nonlinear Analysis Of Concrete Structures Under Non-proportional Cyclic Loading (accepted version) (9 Mb)


Copyright Statement
Accepted version licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) license.

You might also like

Downloadable Citations