Author(s): G. D. Manolis, T. V. Rangelov & P. S. Dineva
Elastic waves in cracked, functionally graded materials (FGM) with elastic
parameters that are continuous functions of a single spatial co-ordinate are
studied herein under conditions of plane strain and for time-harmonic incident
pressure (P) and vertically polarized shear (SV) waves.
The FGM has a fixed
Poissonís ratio, while both shear modulus and density profiles vary
The method of solution is the boundary element method (BEM).
The necessary Greenís functions for the infinite plane are derived in closed-form
using functional transformation methods.
Subsequently, a non-hypersingular,
traction-type BEM is developed using parabolic boundary elements,
supplemented with special crack-tip elements for handling crack edges.
methodology is validated against benchmark problems and then used to study
wave scattering phenomena around a crack in an infinitely extending FGM.
Abrupt change in material properties across interfaces between layers in
composites and other materials may result in large inter-laminar stresses leading
to delamination phenomena.
One way to overcome these effects is to use FGM,
which are inhomogeneous materials with continuously varying material
However, defects and cracks are commonly present in FGM, both
during the manufacturing process and under service conditions.
This calls for
advanced numerical methods to assist in the development of ultrasonic and other
Size: 545 kb
Paper DOI: 10.2495/BEM060311
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