Abstract
Crack growth in viscoelastic solids under cyclic loading tends to be faster than that under static loading with the same amplitude. This phenomenon, known as “dynamic effect”, is a key mechanism underlying the fatigue fracture of soft viscoelastic polymers, but its physical nature remains a mystery. We develop a scaling theory to delineate how viscoelastic dissipation associated with crack growth is governed by the coupling between three time-dependent processes: cyclic loading, crack growth and viscoelastic creep. In the limit of slow crack growth and slow cyclic loading, a simple integral equation is derived to predict the crack growth velocity under different cyclic loading frequencies.
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