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The interface crack in anisotropic bodies. stress singularities and invariant integrals

โœ Scribed by S.A. Nazarov

Book ID
104142644
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
796 KB
Volume
62
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

For the problem of the deformation of a composite anisotropic plate with a crack (in a linear formulation, with no assumption of symmetry), all possible power solutions are listed and general relations between the ordinary and singular solutions are revealed. The asymptotic form of the increment of the potential energy of deformation is computed for the cases of the rectilinear propagation of the crack, deviation of a shoot or branching. The form obtained for the final formula is the same as the classical version of the Griffiths formula and involves two invariant integrals. Two methods of determining the modes of radical singularities of the stress-strain state near the crack tip, associated with the use of force and energy criteria, are proposed.

๐Ÿ“œ SIMILAR VOLUMES

A crack at the interface of anisotropic
A crack at the interface of anisotropic bodies. Singularities of the elastic fields and a criterion for fracture when the crack surfaces are in contact
โœ S.A. Nazarov ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 901 KB

Novozhilov'.s quasistatic brittle fracture criterion is used to determine the direction angle of the branch of a crack with closed surfaces at the interface of two anisotropic bodies. The asymptotic form of the elastic fields near the crack tip is investigated and corollaries of Novozhilov's criteri