Implementation of constitutive model for concrete subjected to tensile and compressive loading
Rapport, 2006

Developing a model consist not only of finding constitutive relations and adequate equations that represent an identified problem. The equations are also implemented in for example a FE environment to be tested and verified. The implementation should be in a readable way, so that others can use it or/and extend it for other purposes, but also so that the writer later can find what was done and how it was solved. This report serves as a help to understand and read the model described in Rempling (2006). To increase the understanding of concrete fatigue and improve the methods of anal- ysis, the constitutive model was developed to describe concrete subjected to tensile cyclic loading. The model uses the concept of bounding surface to describe the hys- teresis loops observed in cyclic loading. An energy balance law is used to describe the energy dissipation by hysteresis loops. An experiment with a concrete bar subjected to direct cyclic tensional loading was simulated. The general response was described with good agreement.


cyclic loading

damage mechanics

plasticity theory

bounding surface

volumetric deviatoric coupling



Rasmus Rempling

Chalmers, Bygg- och miljöteknik, Konstruktionsteknik

1652-9162 (ISSN)



Report - Department of Civil and Environmental Engineering, Chalmers University of Technology: 2006:8