Effect of crack surface contact forces on vibration fatigue characteristics of beam structure

  • Zhaojun Li
  • Yujiang WangEmail author
  • Tinghao Li
  • Xiang Ma
  • Jianhua Ji
Technical Paper


The vibration fatigue characteristics of a beam structure with breathing cracked links are studied, with the consideration of the contact forces at the breathing crack surfaces. First, a dynamic model of the breathing cracked beam element was formulated using the finite element method (FEM) and the theory of fracture mechanics. Subsequently, the coupled dynamic equation of a beam structure with breathing cracked links was established by FEM based on the dynamic model of the breathing cracked beam element. Then, the law of opening and closing of the breathing crack in the beam element was analyzed and the expressions for contact forces at the crack surfaces were derived using FEM. The sensitivity of the breathing crack surfaces to structural parameters and crack parameters was analyzed, by which the influence of contact forces on the structural parameters and crack parameters was revealed. Finally, the dynamic stress characteristics of the beam structure with breathing cracked links were analyzed. The vibration fatigue characteristics were described by the Paris fatigue crack growth curve model, by which the effect of the contact forces at the breathing crack surfaces on the vibration fatigue life of a beam structure with breathing cracked links was studied. Some concluding remarks based on an example have also been given.


Beam structure Breathing crack Contact force Sensitivity Vibration fatigue 



The research was supported by National Natural Science Foundation of China under Grants (Nos. 51465001, 51065002), Guangxi Key Laboratory of Automobile Components and Vehicle Technology open Projects (No. 2015KFYB02). The supports are gratefully acknowledged.

Compliance with ethical standards

Conflict of interest

The authors have no conflict of interest to report.


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  • Zhaojun Li
    • 1
  • Yujiang Wang
    • 1
    • 2
    Email author
  • Tinghao Li
    • 1
  • Xiang Ma
    • 1
  • Jianhua Ji
    • 1
  1. 1.College of Mechanical EngineeringGuangxi UniversityNanningPeople’s Republic of China
  2. 2.Guangxi Key Laboratory of Automobile Components and Vehicle TechnologyGuangxi University of Science and TechnologyLiuzhouPeople’s Republic of China

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