A piecewise-homogeneous material model is used to numerically determine the edge effect length in a composite laminate with reinforcement plies subject to unidirectional longitudinal compression. Consideration is given to mixed boundary conditions (regularity of the material structure and symmetry of the surface load) on the sides of the composite specimen and boundary conditions for stresses on the stress-free sides of the specimen. The dependence of the edge effect length on the ratio of the mechanical characteristics of the composite components is studied
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V. M. Bystrov and V. S. Zelenskii, “Decay of the edge effect in materials reinforced with rectangular components and subject to longitudinal and transverse compression,” in: Systems Technologies [in Ukrainian], Issue 3(62), Dnipropetrovsk (2009), pp. 99–104.
V. T. Golovchan, A. N. Guz, Yu. V. Kokhanenko, and V. I. Kushch, Statics of Materials, Vol. 1 of the 12-volume series Mechanics of Composite Materials [in Russian], Naukova Dumka, Kyiv (1993).
Ya. M. Grigorenko, Yu. N. Shevchenko, A. T. Vasilenko, et al., Numerical Methods, Vol. 11 of the 12-volume series Mechanics of Composite Materials [in Russian], A.S.K., Kyiv (2002).
I. V. Andrianov, V. V. Danishevs’kyy, and D. Weichert, “Analytical study of the load transfer in fiber-reinforced 2D composite materials,” Int. J. Solids Struct., 45, 1217–1243 (2008).
J. E. Akin, Finite Element Analysis Concepts: via SolidWorks, World Scientific, Hackensack, NJ (2010).
E. J. Barbero, Finite Element Analysis of Composite Materials Using ANSYS, CRC Press, Taylor & Francis Group (2013).
E. Yu. Bashchuk and V. Yu. Baichuk, “Influence of the principal stress state on the critical loads of a plate with a crack,” Int. Appl. Mech., 49, No. 3, 328–336 (2013).
S. C. Baxter and C. O. Horgan, “End effects for anti-plane shear deformation of sandwich structure,” J. Elasticity, 40, No. 2, 123–164 (1995).
V. M. Bystrov, “Analysis of the decay of edge effects in laminated materials on the basis of representative element,” Int. Appl. Mech., 36, No. 6, 826–835 (2000).
V. A. Dekret, V. S. Zelenskii, and V. M. Bystrov, “Numerical analysis of the stability a laminated composite with uniaxially compressed reinforcement plies,” Int. Appl. Mech., 50, No. 5, 549–557 (2014).
Yu. V. Kokhanenko, “Numerical analysis of edge effects in laminated composites under uniaxial loading,” Int. Appl. Mech., 46, No. 5, 516–529 (2010).
Yu. V. Kokhanenko and V. M. Bystrov, “Edge effect in a laminated composite with longitudinally compressed laminas,” Int. Appl. Mech., 42, No. 8, 922–928 (2006).
M. C. Leseduarte and R. Quintanilla, “Saint-Venant decay rates for a non-homogeneous isotropic mixture of elastic solids in anti-plane shear,” Int. J. Solids Struct., 42, No. 9–10, 2977–3000 (2005).
V. A. Maksimyuk, E. A. Storozhuk, and I. S. Chernyshenko, “Variational finite-difference methods in liner and nonliner problems of the deformation of metalic and composite shells (review),” Int. Appl. Mech., 48, No. 5, 613–687 (2012).
K. L. Miller and C. O. Horgan, “Saint-Venant end effects for plane deformations of elastic composites,” Mech. Comp. Mater. Struct., 2, No. 3, 203–214 (1995).
S. Pissanetzky, Sparse Matrix Technology, Academic Press, London (1984).
M. R. Scalpato and C. O. Horgan, “Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear,” J. Elasticity, 48, No. 2, 145–166 (1998).
N. Tullini and M. Savoia, “Decay rate of Saint-Venant end effects for multilayered orthotropic strips,” Int. J. Solids Struct., 34, No. 33–34, 4263–4280 (1997).
A. C. Wijeyewickrema, “Decay of stresses induced by self-equilibrated end loads in a multilayered composite,” Int. J. Solids Struct., 32, 515–523 (1995).
A. C. Wijeyewickrema, C. O. Horgan, and J. Dundurs, “Further analysis of end effects for plane deformations of sandwich strips,” Int. J. Solids Struct., 33, 4327–4336 (1996).
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Translated from Prikladnaya Mekhanika, Vol. 51, No. 5, pp. 90–98, September–October 2015.
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Bystrov, V.M., Dekret, V.A. & Zelenskii, V.S. Numerical Analysis of the Edge Effect in a Composite Laminate with Compressed Reinforcement Plies. Int Appl Mech 51, 561–566 (2015). https://doi.org/10.1007/s10778-015-0711-9
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DOI: https://doi.org/10.1007/s10778-015-0711-9