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- W131542301 abstract "Summary The present analysis investigates a mechanism of compressive fracture for heterogeneous non-linear materials undergoing large deformations under uniaxial or equi-biaxial loading. Special attention is given to accounting for the presence of both, inter- and intralaminar defects. The upper and the lower bounds for the critical load are examined. The analytical solution is found for different types of interlaminar boundary conditions. In practical cases, the assumption of perfect bonding between neighbouring layers in composites does not correspond to reality. Various cases of interlaminar adhesion breakdown may occur in real layered materials during the fabrication process or in-service. If composites are compressed along layers and, therefore, along the mentioned interlaminar defects, the classical Griffith-Irwin criterion of fracture or its generalisations are inapplicable, since all stress intensity factors and crack opening displacements are equal to zero. This fact emphasises the importance and the necessity of a most careful (possibly exact) investigation of fracture due to specific mechanisms inherent to heterogeneous materials. The loss of stability in the heterogeneous structure of composites is one of such mechanisms; the moment of stability loss in the microstructure of the material – internal instability according to Biot – is associated with the onset of fracture. The most accurate approach to studying the internal instability is based on the model of a piecewise-homogeneous medium, when the behaviour of each component of the material is described by the 3-D equations of solid mechanics provided certain boundary conditions are satisfied at the interfaces. It was used in numerous publications on the topic – see the reviews [2,5]. Along with the exact approach, there are also approximate models proposed by Rosen and later by many other authors. Detailed comparative analysis of different approaches was given in [1,2,5]. It was concluded [2,5,6] that the approximate methods are not accurate when compared to experimental measurements and observations. However, all works mentioned above considered perfectly bonded layers only. Moreover, the approaches based on the Rosen model cannot be altogether applied in the case of large pre-critical (applied) deformations. The 3-D approach presented here allows us to take into account large deformations, geometrical and physical non-linearities and load biaxiality that the simplified methods cannot consider. This paper investigates heterogeneous non-linear materials under large deformations. The composite consists of alternating layers with thicknesses 2hr and 2hm (Fig. 1), which are simulated by incompressible transversally isotropic solids with a general form of the constitutive equations. Henceforth all values referred to these layers will be labelled by indices r (reinforcement) and m (matrix). The analysis finds the bounds for critical compressive loads acting on the materials with imperfect interlaminar adhesion. As an example, a change in the nature of the interlaminar contact is studied, when an interaction of the layers is implemented so, that infinitesimal sliding is allowed, but still there are no gaps between the layers (e.g., molecular chains in some kinds of glue connection, Fig. 2). This kind of the cleavagetype delaminations is called defects with connected edges [3,6] or perfectly lubricated interfaces. For these defects, the continuity at the interface is retained for normal components only. For a layered material with an unidentified set of defects with connected edges, the following estimation can be suggested to find the lower bounds for the critical loads." @default.
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- W131542301 date "2004-01-01" @default.
- W131542301 modified "2023-09-27" @default.
- W131542301 title "EFFECT OF INTER- AND INTRALAMINAR DAMAGE ON THE COMPRESSIVE FRACTURE OF HYPERELASTIC MATERIALS" @default.
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