Abstract

The problem of determining the stress intensity factor and crack opening displacement in an infinitely long strip of an initially stressed neo-Hookean elastic material containing a Griffith crack is investigated. The crack is situated on the centerline of the strip and opened out by internal pressure. The problem is reduced to that of solving a singular integral equation of the Cauchy type. Approximate analytical expressions up to the order of ( δ a ) −8 are obtained for the quantities of physical interest; where 2δ is the width of the strip and 2 a is the length of the crack. We compare numerical results obtained from the approximate analytical expression, with those obtained by the different numerical solution of the singular integral equation. This gives an estimate for the domain of validity of the approximate analytical expression.

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