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- Title
Growth of a penny-shaped crack with a nonsmall fracture process zone in a composite.
- Authors
Kaminsky, A.; Selivanov, M.
- Abstract
The paper studies the stress rupture behavior of a reinforced viscoelastic composite through which a penny-shaped mode I crack propagates under a constant load. The composite has hexagonal symmetry and consists of elastic isotropic fibers and viscoelastic isotropic matrix. The material is modeled as a transversely isotropic homogeneous viscoelastic medium with effective characteristics. The crack is in the isotropy plane. The ring-shaped fracture process zone at the crack front is modeled by a modified Dugdale zone with time-dependent stresses. The viscoelastic properties of the matrix are characterized using a resolvent integral operator. Use is made of Volterra's principle, the method of operator continued fractions, and the theory of precritical crack growth in viscoelastic bodies. The problem is reduced to nonlinear integral equations. Numerical results are obtained for certain components of the composite, constant volume fractions, and different fracture strengths
- Subjects
VISCOELASTIC materials; VISCOELASTICITY; FRACTURE mechanics; FUNCTIONAL equations; DEFORMATIONS (Mechanics); STRENGTH of materials; STRAINS &; stresses (Mechanics)
- Publication
International Applied Mechanics, 2008, Vol 44, Issue 8, p866
- ISSN
1063-7095
- Publication type
Article
- DOI
10.1007/s10778-008-0100-8