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.
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Hakim, L., Mikhailov, S.E. (2011). Nonlinear Abel-Type Integral Equation in Modeling Creep Crack Propagation. In: Constanda, C., Harris, P. (eds) Integral Methods in Science and Engineering. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-8238-5_18
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DOI: https://doi.org/10.1007/978-0-8176-8238-5_18
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-8237-8
Online ISBN: 978-0-8176-8238-5
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