%L eprints2080
%X Multi-material wedges are frequently observed in composite materials. They consist of two or more
sectors of dissimilar materials joined together, whose interfaces converge to the same vertex. Due to the
mismatch in the material properties, such as Young?s modulus, thermal conductivity, dielectric permittivity,
or magnetic permeability, these geometrical configurations may lead to singular fields at the junction
vertex. In this paper, focusing the attention on singular harmonic problems, the mathematical analogies
intercurring between antiplane shear problem in elasticity due to Mode III loading or torsion, the
steady-state heat transfer problem, and the diffraction of waves in electromagnetism are presented. The
proposed unified mathematical formulation is particularly convenient for the identification of common
types of singularities (power-law or logarithmic type), for the use of a standardized method for solving
the nonlinear eigenvalue problems, and for the determination of common geometrical and material
configurations permitting to relieve or remove the singularities.
%K Singularities, multi-material wedges, elasticity, diffusion, electromagnetism
%A Marco Paggi
%A Alberto Carpinteri
%D 2010
%T Singular harmonic problems at multi-material wedges: mathematical analogies between elasticity, diffusion and electromagnetism
%C Dresden, Germany
%P 1-8