Analysis of a spherical crack on the interface of a two-phase composite
- Institut fuer Werkstofftechnik und Pruefung (Germany)
- Univ. of Dnepropetrovsk (Ukraine)
Composite and partially homogeneous materials are nowadays the basis for the creation of the majority of advanced materials. In many cases, interfacial crack defects are the cause of the destruction of such materials. That is the reason for the investigation of the stress-strain (SSS) of the body containing an interfacial crack both from the point of view of the design of advanced materials and correctness of the mathematical description of physical processes occurring at and near the crack tip. At the present time, the problem of a plane straight interfacial crack in a compound infinite body has been studied extensively. Review of these results has been presented. Nevertheless, the solutions obtained do not take into account the thickness of the adhesive layer and local contact interaction of the crack edges. The presence of so-called oscillating singularities conflicts with physical reality. We consider an axially symmetric problem of the theory of elasticity for the determination of the SSS of a partially homogeneous two-layer spherical covering with an interface crack. The classical type of this problem, which assumes that the crack edges have no contact with each other, was considered in (3). This solution contains a rapidly oscillating singularity of the stress at the crack tip. On the other hand, the model proposed by Comninou (4) assumes an overlapping of the crack surface near a crack tip of very small size, and was used to solve the problem of a spherical crack in the nonhomogeneous body consisting of an elastic sphere and an unbounded elastic medium (5). In this connection, it is assumed that the two sides of the crack are in frictionless contact. The contact zone is quite small, of the order of 10{sup {minus}4} of the crack length, and this fact reduces the effectiveness of the model. In this paper, we will show that a nonoscillatory model can also be used to solve the problem under consideration.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 146872
- Journal Information:
- Mechanics of Composite Materials, Journal Name: Mechanics of Composite Materials Journal Issue: 1 Vol. 31; ISSN 0191-5665; ISSN MCMAD7
- Country of Publication:
- United States
- Language:
- English
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