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Driving force acting on a running crack
Author(s) -
Le K.C.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<24::aid-pamm24>3.0.co;2-w
Subject(s) - singularity , fracture mechanics , crack tip opening displacement , infinitesimal strain theory , mechanics , nonlinear system , crack closure , crack growth resistance curve , elastic energy , gravitational singularity , plane stress , strain energy release rate , invariant (physics) , shear (geology) , classical mechanics , physics , structural engineering , materials science , mathematical analysis , mathematics , engineering , composite material , quantum mechanics , finite element method , mathematical physics
The asymptotic analysis of the dynamic crack problem for the anti‐plane shear mode is provided. The field near the crack tip is studied in detail for a nonlinear elastic incompressible material whose stored energy behaves asymptotically as a power of the first invariant of the strain tensor at large strains. It is shown that the hardening parameter characterizes fully the singularity degree of the near‐crack‐tip field. Based on the latter knowledge the driving force acting on the crack tip is calculated. Possible scenarios of the crack propagation are discussed.