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Title: Analytico-numerical tool for studying the influence of the inhomogeneity on the behavior of cracked magneto-electro-elastic materials

Functionally graded materials (FGM) are extensively used in modern industry. They are composite materials with continuously varying properties in one or more special dimensions, according to the specific purpose. In view of the wide range of applications of FGM, stress analysis is important for their structural integrity and reliable service life. In this study we will consider functionally graded magneto-electro-elastic materials with one or more cracks 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 field concentration near the crack tips on the frequency of the applied time-harmonic load for different types of material inhomogeneity.
Authors:
 [1]
  1. Faculty of Applied Mathematics and Informatics, Technical University of Sofia, Bulgaria ids@tu-sofia.bg (Bulgaria)
Publication Date:
OSTI Identifier:
22492613
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1684; Journal Issue: 1; Conference: AMiTaNS'15: 7. international conference for promoting the application of mathematics in technical and natural sciences, Albena (Bulgaria), 28 Jun - 3 Jul 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 42 ENGINEERING; ANALYTICAL SOLUTION; BOUNDARY-VALUE PROBLEMS; COMPOSITE MATERIALS; CONCENTRATION RATIO; CRACKS; FORTRAN; INTEGRO-DIFFERENTIAL EQUATIONS; NUMERICAL SOLUTION; RADON; SERVICE LIFE; SIMULATION; STRESS ANALYSIS; STRESSES; WAVE EQUATIONS