Nonlinear Abel-Type Integral Equation in Modeling Creep Crack Propagation

L. Hakim () and S. E. Mikhailov ()
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L. Hakim: Brunel University West London
S. E. Mikhailov: Brunel University West London

A chapter in Integral Methods in Science and Engineering, 2011, pp 191-201 from Springer

Abstract: Abstract A nonlinear Abel-type equation is obtained in this paper to model creep crack time-dependent propagation in the infinite viscoelastic plane. A finite time when the integral equation solution becomes unbounded is obtained analytically as well as the equation parameters when solution blows up for all times. A modification to the Nyström method is introduced to numerically solve the equation and some computational results are presented.

Keywords: Integral Equation; Fatigue Crack Propagation; Accumulation Rule; Creep Crack Growth; Solution Blow (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8238-5_18

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DOI: 10.1007/978-0-8176-8238-5_18

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