Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3546

 Title: The Influence of Inhomogeneity on the Dynamic Behavior of Functionally Graded Magneto-Electro-Elastic Materials with Cracks Authors: Stoynov, Yonko Keywords: functionally graded magneto-electro-elastic materialsRadon transformSIFBIEM Issue Date: 2015 Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences Citation: Pliska Studia Mathematica Bulgarica, Vol. 25, No 1, (2015), 193p-202p Abstract: Functionally graded materials are extensively used in modern industry. They are composite materials with continuously varying properties in one or more spacial dimensions, according to the specific purpose. In view of their applications, stress analysis of such materials is important for their structural integrity. In this study we will consider cracked functionally graded magneto-electro-elastic materials subjected to SH waves. We assume that the material properties vary in one and the same way, described by an inhomogeneity function. The boundary value problem is reduced to a system of integro-differential equations based on the existence of fundamental solutions. Different inhomogeneity classes are used to obtain a wave equation with constant coefficients. Radon transform is applied to derive the fundamental solution in a closed form. Program code in FORTRAN 77 is developed and validated using available examples from literature. Simulations show the dependence of stress on the frequency of the applied time-harmonic load for different types of material inhomogeneity. 2010 Mathematics Subject Classification: 65M38, 65N80, 65Z05. Description: [Stoynov Yonko; Стойнов Йонко] URI: http://hdl.handle.net/10525/3546 ISSN: 0204-9805 Appears in Collections: 2015 Volume 25

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