Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 23, No 1, (2014), 127p-140p
Considered is homogeneous or functional graded piezoelectric material with heterogeneities of different type (hole, crack, inclusion, nano– hole, nano–inclusion) subjected to time–harmonic wave. With respect to the boundary conditions along the interface between the heterogeneity and the infinite matrix different boundary value problems are formulated and solved. Boundary Integral Equation Method is applied to evaluate both: (a) the wave far–field due to the wave scattering and diffraction; (b) the stress concentration field near heterogeneities. The obtained results are applicable in the field of non–destructive testing, material science and fracture mechanics of multi–functional materials and structural elements based on them. 2000 Mathematics Subject Classification: 74J20, 74S15, 74G70.