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Title: Nonlinear Abel type integral equation in modelling creep crack propagation
Authors: Hakim, L
Mikhailov, SE
Issue Date: 2011
Publisher: Birkhäuser Boston
Citation: Integral Methods in Science and Engineering: Computational and Analytic Aspects: pp. 191 - 201, Jul 2011
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.
Description: Copyright @ 2011 Birkhäuser Boston
ISBN: 0817682376
Appears in Collections:Publications
Dept of Mathematics Research Papers
Mathematical Sciences

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