Crack growth in viscoelastic media: effect of specimen size

Author:

Abstract

The strain energy release rate G required to propagate a crack at velocity V along an infinite viscoelastic strip of width 2 h his calculated numerically. It is shown that G can be approximated by 2 γC ( h/V )/ C ( l/V ), where γ is the intrinsic fracture energy, C ( t ) is the creep compliance function, and l is the Barenblatt or Dugdale zone length. The analysis predicts a region of the GV curve having negative gradient, providing a possible explanation for the instability phenomena observed in the fracture of polymers. The critical point ( G c , V c ) at which d G /d V = 0 , is dependent on specimen size, with large specimens having greater apparent fracture surface energy than small ones. When applied to polymethyl methacrylate (PMMA), the predicted value of V c is in close agreement with the velocity observed at the transition from slow to fast crack growth.

Publisher

The Royal Society

Subject

General Medicine

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