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Steady-State Crack Velocity in a Viscoelastic Composite Material
Authors:Bouja  Farid  Chaoufi  Jamal  Gamby  Denys
Affiliation:(1) Département de Physique, Faculté des Sciences, Université Ibn Zohr, B.P. 28/S, 80000 Agadir, Morocco;(2) Laboratoire de Mécanique et de Physique des Matériaux, ENSMA, 1 avenue Clément Ader, B.P. 40109, 86961 Futuroscope Chasseneuil Cedex, France
Abstract:The velocity of a semi-infinite crack slowly propagating in aninfinitely long strip made of a viscoelastic composite material isdetermined according to Christensen's fracture criterion. The edges ofthe strip are subjected to uniform opposite displacements normal to thecrack plane. The crack velocity is obtained from an energy balanceequation involving the energy dissipated in the whole strip; the latteris evaluated using an approximate, but sufficiently accurate, expressionof the stress field in the structure obtained by taking into account thestrong anisotropy of the long fibre composite material of interest. Thisnew version of Christensen's criterion compares favourably with theoriginal one and gives crack velocity predictions very close to thoseprovided by Schapery's criterion.
Keywords:Christensen's fracture criterion  composite material  crack propagation  cracked strip  energy dissipation  Schapery's fracture criterion  singular perturbation  viscoelastic matrix
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