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The stress intensity factor Green's function for a crack interacting with a circular inclusion

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Abstract

The Green's function is constructed for the stress intensity factor due to the unit dipole force applied to the crack surface in the presence of a circular inclusion in front of the crack tip. An explicit functional form of the Green's function is proposed in terms of dipole force location, Young's modulus ratio and the inclusion size and position with respect to the crack tip. This is achieved through a combination of the dimensional analysis and parametric studies by means of the finite element method. The purpose of this paper is to provide the basis for further studies of a crack interaction with an array of microdefects and/or inclusions.

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Author notes

  1. Rongshun Li

    Present address: Motorola Automotive, Energy and Controls Group, 60062, Northbrook, Illinois, USA

Authors and Affiliations

  1. Department of Civil Engineering, Mechanics and Metallurgy, University of Illinois at Chicago, 60680, Chicago, IL, USA

    Rongshun Li & Alexander Chudnovsky

Authors
  1. Rongshun Li
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  2. Alexander Chudnovsky
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Li, R., Chudnovsky, A. The stress intensity factor Green's function for a crack interacting with a circular inclusion. Int J Fract 67, 169–177 (1994). https://doi.org/10.1007/BF00019602

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  • DOI: https://doi.org/10.1007/BF00019602

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