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Title: Fatigue Tension-Softening Constitutive Model of Normal- Strength Concrete

Author(s): Hong Chen, Meng-Di Jia, Rena C. Yu, Jian-Jun Zheng, and Zhi-Min Wu

Publication: Materials Journal

Volume: 122

Issue: 3

Appears on pages(s): 37-50

Keywords: compressive strength grade; crack propagation; fatigue fracture; tension-softening constitutive model

DOI: 10.14359/51746713

Date: 5/1/2025

Abstract:
The fatigue tension-softening constitutive model of concrete is a crucial material property for the nonlinear analysis of fatigue crack propagation processes. However, existing models are derived and calibrated based on concrete with a single strength grade, which limits their applicability. To address this issue, this study develops a fatigue tension-softening constitutive model applicable to normal-strength grade concrete. First, based on the fracture test results of three-point bending (TPB) beams, the relationship between the external work and the energy consumed for fatigue crack propagation is established using the principle of energy conservation. The second-order derivative of this relationship is then used to determine the cohesive stress under fatigue loading. It is found that the cohesive stress decreases with the increase in both fatigue crack opening displacement and the number of fatigue cycles. For a given fatigue load level, the higher the tensile strength of the concrete, the slower the degradation rate of cohesive stress. Subsequently, by introducing the number of fatigue cycles, crack opening displacement, and tensile strength as key parameters, the fatigue tension-softening constitutive model for normal-strength concrete is formulated. Finally, the model is validated by using it to predict the fatigue crack propagation length, fatigue life, and stress intensity factor at the fatigue failure of TPB beams and comparing these predictions with experimental results. The model proposed in this study provides essential parameters for evaluating the fatigue fracture performance of concrete.


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