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Acta Mechanica Solida Sinica

, Volume 20, Issue 3, pp 236–246 | Cite as

Crack propagation in structures subjected to periodic excitation

  • Yin Zhang
  • Kevin D. Murphy
Article

Abstract

In the present paper, a simple mechanical model is developed to predict the dynamic response of a cracked structure subjected to periodic excitation, which has been used to identify the physical mechanisms in leading the growth or arrest of cracking. The structure under consideration consists of abeam with a crack along the axis, and thus, the crack may open in Mode I and in the axial direction propagate when the beam vibrates. In this paper, the system is modeled as a cantilever beam lying on a partial elastic foundation, where the portion of the beam on the foundation represents the intact portion of the beam. Modal analysis is employed to obtain a closed form solution for the structural response. Crack propagation is studied by allowing the elastic foundation to shorten (mimicking crack growth) if a displacement criterion, based on the material toughness, is met. As the crack propagates, the structural model is updated using the new foundation length and the response continues. From this work, two mechanisms for crack arrest are identified. It is also shown that the crack propagation is strongly influenced by the transient response of the structure.

Key words

crack propagation/arrest elastic foundation modal analysis vibration natural frequency 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2007

Authors and Affiliations

  • Yin Zhang
    • 1
  • Kevin D. Murphy
    • 2
  1. 1.State Key Laboratory of Nonlinear Mechanics (LNM)Institute of Mechanics, Chinese Academy of SciencesBeijingChina
  2. 2.Department of Mechanical EngineeringUniversity of ConnecticutStorrsUSA

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