Nonlinear Abel-Type Integral Equation in Modeling Creep Crack Propagation

Abstract

1 Introduction A nonlinear Abel-type equation is obtained in this paper to model creep crack timedependent 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. [...]