Abstract
Edge effects in a rectangular sandwich plate with isotropic components are studied. The mathematical model is represented by the homogeneous equations of linear elasticity, which is indicative of an approximate approach in edge-effect theory. The initial equations are reduced to inhomogeneous ones and an exact problem is formulated. Approximate solutions are found by the mesh method. Discrete problems are based on the concept of base scheme. The mesh equations are written in an explicit form and then solved using a computation optimization procedure. As an example, edge-effect zones in a real composite are analyzed.
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REFERENCES
V. V. Bolotin and Yu. N. Novichkov, Mechanics of Multilayer Structures [in Russian], Mashinostroenie, Moscow (1980).
K. Herakovich, “Edge effects in laminated composites,” in: New Trends in the Foreign Literature, Ser. Mekh., 44, Applied Mechanics of Composites [Russian translation], Mir, Moscow (1989).
A. N. Guz and Yu. V. Kokhanenko, “Edge effects in composites,” Int. Appl. Mekh., 31, No.3, 165–181 (1995).
A. I. Lur’e, The Theory of Elasticity [in Russian], Nauka, Moscow (1970).
V. T. Golovchan (ed.), Statics of Materials, Vol. 1 of the 12-volume series A. N. Guz (general editor), Mechanics of Composites [in Russian], Naukova Dumka, Kiev (1993).
H. S. Katz and J. V. Milewski (eds.), Handbook of Fillers and Reinforcements for Plastics, Van Nostrand Reinhold Company, New York (1978).
J. M. Ortega and W. G. Poole, Jr., An Introduction to Numerical Methods for Differential Equations, Pitman Publishing Inc., Marshfield, Massachusetts (1981).
S. P. Timoshenko and J. N. Goodier, Theory of Elasticity, McGraw-Hill, New York (1970).
A. N. Guz and Yu. V. Kokhanenko, “Numerical solution of three-dimensional stability problems for elastic bodies,” Int. Appl. Mech., 37, No.11, 1369–1399 (2001).
Yu. V. Kokhanenko, “Numerical study of three-dimensional stability problems for laminated and ribbon-reinforced composites,” Int. Appl. Mech., 37, No.3, 317–345 (2001).
Yu. V. Kokhanenko and O. K. Mazur, “Influence of the coefficients of thermal expansion on the nature of stresses and local effects in a uniformly heated sandwich plate,” Int. Appl. Mech., 38, No.8, 998–1005 (2002).
Yu. V. Kokhanenko and V. S. Zelenskii, “Influence of geometrical parameters on the critical load in three-dimensional stability problems for rectangular plates and beams,” Int. Appl. Mech., 39, No.9, 1073–1080 (2003).
V. M. Vigak and A. V. Rychagivskii, “Solution of a three-dimensional elastic problem for a layer,” Int. Appl. Mech., 38, No.9, 1094–1102 (2002).
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Translated from Prikladnaya Mekhanika, Vol. 40, No. 12, pp. 124–133, December 2004.
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Kokhanenko, Y.V. Edge effects in a sandwich plate: a plane problem. Int Appl Mech 40, 1411–1418 (2004). https://doi.org/10.1007/s10778-005-0048-x
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DOI: https://doi.org/10.1007/s10778-005-0048-x