Abstract

For concrete, fatigue is an essential mechanical behavior. Concrete structures subjected to fatigue loads usually experience a progressive degradation/damage process and even an abrupt failure. However, in the literature, certain essential damage behaviors are not well considered in the study of the mechanism for fatigue behaviors such as the development of irreversible/residual strains. In this work, a damage model with the concept of mode-II microcracks on the crack face and nearby areas contributing to the development of irreversible strains was proposed. By using the micromechanics method, a micro-cell-based damage model under multi-axial loading was introduced to understand the damage behaviors for concrete. By a thermodynamic interpretation of the damage behaviors, a novel fatigue damage variable (irreversible deformation fatigue damage variable) was defined. This variable is able to describe irreversible strains generated by both mode-II microcracks and irreversible frictional sliding. The proposed model considered both elastic and irreversible deformation fatigue damages. It is found that the prediction by the proposed model of cyclic creep, stiffness degradation and post-fatigue stress-strain relationship of concrete agrees well with experimental results.

Highlights

  • Fatigue is an essential mechanical behavior of concrete

  • Given that in the case of general engineering the value of the minimum stress σmin is not equal to zero in concrete (Figure 7d), the residual strain εn r related to the fatigue behaviors is distinguished from the irreversible strain εn di by the following definition: εrn = εn −

  • Where Dn fcu denotes a simplified parameter related to strength reduction, Dn fcu± = (1 − S± )·Dn 0±, Dn 0 denotes a newly introduced damage variable, which will be defined in Section 4.1; kN denotes a modifying parameter considering the bound condition of fatigue failure surface [4], if εN ≤ ε ≤ εfcu, kN =/(εN − εfcu ), otherwise, kN = 1, and εfcu denotes the strain corresponding to the peak stress f cu under monotonic uniaxial loading

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Summary

A Damage Model for Concrete under Fatigue Loading

Engineering Technology Research Center for Prefabricated Construction Industrialization of Hunan Province, Central South University, 68 South Shaoshan Road, Changsha 410075, China

Introduction
Microcrack Mechanism in Concrete under Multi-Axial Loading
The Definition of the Mode-II Microcracks
The Causes for the Mode-II Microcracks under Multi-Axial Loading
Influence of thein
Influence of the Mode-II
Irreversible
Thermodynamics
Interpretation in First and Second Loading Cycle
Interpretation in nth Loading Cycle
Damage Variable Definition and Its Thermodynamics Interpretation
Continuum Damage Mechanics Model
Solution Procedure of CDM Model for Concrete under Fatigue Loading
Behaviors of to Concrete
Comparison among Proposed Model and Other Models
Post-Fatigue Constitutive Behaviors of Concrete under Monotonic Loading
Comparison among Proposed
Comparison among model
Conclusions

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