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|Title:||Nonlinear Abel type integral equation in modelling creep crack propagation|
|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|
|Appears in Collections:||Publications|
Dept of Mathematics Research Papers
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