Plane problem of the stability of composites with slipping layers

Guz, I. A.

doi:10.1007/bf00613480

Cited by 9 publications

(5 citation statements)

References 3 publications

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“…The latter case was considered in detail by Guz (5,11) for various models of the layers. All results in the section, which correspond to uniaxial compression, are calculated following Guz (25,26) , Guz and Soutis (19) .…”

Section: Results For the Case Of Elastic Layersmentioning

confidence: 99%

“…with perfectly bonded layers), , must be larger than the critical load, , for a material with the same internal structure containing cleavage-type delaminations, i.e. which in terms of strains means Hence, from Equations (7) and (10) and from Equation (8) and (11) The above-mentioned bounds were considered earlier for other material properties by Guz (25,26) , and also used later by Guz and Soutis (39) and Soutis and Guz (21) , where the investigation was restricted by the case of small deformations only, and by Guz and Herrmann (44) for incompressible hyperelastic materials.…”

Section: The Bounds For Critical Loadsmentioning

confidence: 97%

“…The 3D approach presented in this paper allows us to take into account large deformations, geometrical and physical non-linearities of the constituent materials (fibre and resin) and load biaxiality that the simplified methods cannot consider. Part of the analysis is based on the previous works by the authors (19)(20)(21) and on the general approaches developed by Guz (25)(26) , so the equations derived earlier are presented only for clarification purposes without much detail.…”

Section: Introduction 11 Classification Of Different Approaches In Mmentioning

confidence: 99%

“…periods of the internal structure. However, based on the experience of solving similar problems (14,21,25,26,39,44) , the modes with the larger periods are not of practical interest. Other modes with periods, which are not multiples of the period of the internal structure, can also be examined.…”

mentioning

confidence: 99%

“…THE Problems of internal stability of such materials were investigated within the most accurate approach in previous studies. Characteristic determinants (4 × 4) were derived for perfectly bonded (26,36) or sliding without friction layers (25,26) . They have the form of Equation (26), but the expressions for γ rs are different.…”

mentioning

confidence: 99%

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Fracture of layered composites by internal fibre instability: effect of interfacial adhesion

Soutis

Guz

2006

Aeronaut. j.

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In this paper, a mechanism of compressive fracture for elastic and elastic-plastic composite materials with interfacial adhesion defects is investigated. A classification of different approaches in modelling compressive response of layered materials is given. The analysis finds the upper and the lower bounds for the critical load. In order to achieve this, the problem of the internal fibre (layer) instability is considered within the scope of the exact statement based on the application of the model of a piecewise-homogeneous medium and the equations of the three-dimensional (3D) stability theory. The solution of the 3D problem is found for the most general case accounting for the bi-axiality of compressive loads. The characteristic determinants are derived for the first four fibre instability (microbuckling) modes, which are more commonly observed. Special attention is given to the calculation of critical loads for practical elastic and elastic-plastic layered materials. NOMENCLATUREA material constant for the elastic-plastic matrix E Young's modulus (GPa) h half-thickness of the layer (m) k material constant for the elastic-plastic matrix l i half-wave length of modes of stability loss along axis OX i (m) N the number of the mode P cr critical load P cr pb critical load for the case of perfectly bonded layers P cr sl critical load for the case of sliding layers P cr imp critical load for materials with imperfections of interlaminar adhesion T set of all interfaces T pb zones of perfectly bonded layers T cr set of cracks T sl set of cleavage-type delaminations tij components of non-symmetrical Piola-Kirchhoff stress tensor (GPa) u i components of the displacement vector (m) V r fibre volume fraction α normalised wavelength β ij elements of characteristic determinants for the case of perfectly bonded layers γ ij elements of characteristic determinants for the case of sliding layers δ ij Kronecker's symbol ε ij components of strain tensor ε cr critical strain ε cr pb critical strain for the case of perfectly bonded layers ε cr sl critical strain for the case of sliding layers ε cr imp critical strain for materials with imperfections of interlaminar adhesion THE AERONAUTICAL JOURNAL

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