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The criterion of fracture
Author(s) -
Bikerman J. J.
Publication year - 1964
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.760040410
Subject(s) - work (physics) , materials science , fracture mechanics , fracture (geology) , surface energy , mechanics , deformation (meteorology) , strain energy release rate , surface (topology) , strain energy , energy (signal processing) , point (geometry) , elastic energy , domain (mathematical analysis) , mechanical energy , composite material , thermodynamics , mathematics , geometry , mathematical analysis , physics , finite element method , statistics , power (physics)
Dupre's theory that work of rupture equals increase in surface energy, and Griffith's hypothesis (based upon Dupre's that a crack propagates when strain energy decrease equals or exceeds work required to creat two new surfaces are shown to be incorrect. Work is required for deformation to repture, not for the actual rupture. An alternative criterion, i. e., that crack propagation occurs when strain energy decrease exceeds the increase required for elastic deformation of the “critical domain” to the breaking point, offers the following advantages: (1) continuity between macro‐ and micro‐effects, (2) avoidance of surface energy (unmeasurable for solids), (3) accounting for heat effect, (4) reasonable explanation of unexpectedly high “surface energy” values.