2006
DOI: 10.1007/s10778-006-0160-6
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Edge effect in a laminated composite with longitudinally compressed laminas

Abstract: The paper is concerned with the determination of edge effect zone in a laminated composite with laminas subject to longitudinal compression. The dependence of the maximum decay length on the ratio between the period of external loading and the structure parameter is studied. The load period depends on the number of unloaded laminas. The decay of the edge effect is analyzed by numerically solving a boundary-value problem of elasticity for piecewise-homogeneous materials and using a quantitative decay criterion … Show more

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Cited by 10 publications
(10 citation statements)
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“…An approach based on the concept of a representative element was proposed and developed in [1,3,5,6,12] to analyze the decay of edge effects in layered materials. The representative element inherits the structure of the material on some structural scale and determines the transition to another structural scale to study the elastic behavior of inhomogeneous materials.…”
Section: Introductionmentioning
confidence: 99%
“…An approach based on the concept of a representative element was proposed and developed in [1,3,5,6,12] to analyze the decay of edge effects in layered materials. The representative element inherits the structure of the material on some structural scale and determines the transition to another structural scale to study the elastic behavior of inhomogeneous materials.…”
Section: Introductionmentioning
confidence: 99%
“…This, in particular, represents the case where a surface load is applied only to the reinforcement of a CM specimen. In many studies on the influence of the inhomogeneity of a material on the decay of edge effects, it is pointed out that the edge effect length may be rather great at a certain ratio of the elastic and geometrical characteristics of the composite components [1,8,12,13,15,[17][18][19][20]. This strongly restricts the conventional application of Saint Venant's principle in designing structures made of CMs.…”
mentioning
confidence: 99%
“…Similar results were obtained in [2, 3] for a two-layer periodicity cell of a CM with uniformly loaded reinforcement. As shown in [1,12], the edge effect zone is much larger if the size of the periodicity cell is determined by the period of the surface load and exceeds the typical length scale of the internal structure of the CM. The asymptotic dependence of the edge effect length on the size of the periodicity cell along the line of application of the surface load allows us to isolate a representative element of the material [8].…”
mentioning
confidence: 99%
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“…In the latter case of loading, the decay length is comparable with the size of the load application region. In [1][2][3]9], a plane problem was solved to determine the edge effect in a layered material with reinforcement layers subjected to uniaxial longitudinal compression, which is the first type of loading mentioned above. The joint effect of the external load and the structure of the material on the decay of the edge effect was analyzed for different spatial periods of the surface load compared with the total thickness of the reinforcement and matrix layers (structure parameter of the material).…”
mentioning
confidence: 99%