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Singular perturbation analysis of dynamic fields in a thermoelastic solid with a small surface-breaking crack

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Abstract

An asymptotic analysis is presented for a dynamic problem of a semi-infinite isotropic thermoelastic solid with a small surface breaking crack. The exterior surface of the solid is subjected to a series of short thermal pulses. The crack surface is traction free and an ideal thermal contact is assumed across the crack. The stress intensity factor is asymptotically evaluated as a function of the crack depth and time. The effect of a boundary layer associated with the diffusive term is identified. The theoretical model is supplied with numerical simulations.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 3BX, UK

    E. Zhelezina & A. B. Movchan

  2. School of Engineering, John Moores University, Liverpool, L3 3AF, UK

    I. S. Jones

Authors
  1. E. Zhelezina
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  2. I. S. Jones
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  3. A. B. Movchan
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Correspondence to E. Zhelezina.

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Zhelezina, E., Jones, I.S. & Movchan, A.B. Singular perturbation analysis of dynamic fields in a thermoelastic solid with a small surface-breaking crack. Acta Mech Mech Sinica 22, 449–454 (2006). https://doi.org/10.1007/s10409-006-0028-3

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  • DOI: https://doi.org/10.1007/s10409-006-0028-3

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