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Title: Dynamic fracture of functionally graded magnetoelectroelastic composite materials

The stress, magnetic and electric field analysis of multifunctional composites, weakened by impermeable cracks, is of fundamental importance for their structural integrity and reliable service performance. The aim is to study dynamic behavior of a plane of functionally graded magnetoelectroelastic composite with more than one crack. The coupled material properties vary exponentially in an arbitrary direction. The plane is subjected to anti-plane mechanical and in-plane electric and magnetic load. The boundary value problem described by the partial differential equations with variable coefficients is reduced to a non-hypersingular traction boundary integral equation based on the appropriate functional transform and frequency-dependent fundamental solution derived in a closed form by Radon transform. Software code based on the boundary integral equation method (BIEM) is developed, validated and inserted in numerical simulations. The obtained results show the sensitivity of the dynamic stress, magnetic and electric field concentration in the cracked plane to the type and characteristics of the dynamic load, to the location and cracks disposition, to the wave-crack-crack interactions and to the magnitude and direction of the material gradient.
Authors:
 [1] ;  [2]
  1. Faculty of Applied Mathematics and Informatics, Technical University of Sofia (Bulgaria)
  2. Institute of Mechanics, Bulgarian Academy of Sciences, Sofia (Bulgaria)
Publication Date:
OSTI Identifier:
22390608
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1629; Journal Issue: 1; Conference: AMiTaNS 14: 6. International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, Albena (Bulgaria), 26 Jun - 1 Jul 2014; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; BOUNDARY-VALUE PROBLEMS; COMPOSITE MATERIALS; CONCENTRATION RATIO; CRACKS; ELECTRIC FIELDS; FRACTURES; FREQUENCY DEPENDENCE; INTEGRAL EQUATIONS; MAGNETIC FIELDS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; STRESSES; TRANSFORMATIONS