TY  - JOUR
A1  - Carpinteri, Alberto
A1  - Paggi, Marco
SN  - 1559-3959
SP  - 113
N2  - Multimaterial wedges are frequently observed in composite materials. They consist of two or more sectors of dissimilar materials joined together, whose interfaces converge at the same vertex. Due to the mismatch in material properties such as Young?s modulus, thermal conductivity, dielectric permittivity, or magnetic permeability, these geometrical configurations can lead to singular fields at the junction vertex. This paper discusses mathematical analogies, focused on singular harmonic problems, 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. In the case of a single material wedge, a mathematical analogy between elasticity and fluid dynamics is also outlined. The proposed unified mathematical formulation is particularly convenient for the identification of common types of singularities (power-law or logarithmic type), the definition of a standardized method to solve nonlinear eigenvalue problems, and the determination of common geometrical and material configurations allowing the relief or removal of different singularities. 
AV  - none
TI  - Singular harmonic problems at a wedge vertex: mathematical analogies between elasticity, diffusion, electromagnetism, and fluid dynamics
Y1  - 2011///
KW  - Singularities
KW  -  Multimaterial wedges
KW  -  Elasticity
KW  -  Diffusion
KW  -  Electromagnetism
KW  -  Fluid dynamics
UR  - http://dx.doi.org/10.2140/jomms.2011.6.113
IS  - 1-4
JF  - Journal of Mechanics of Materials and Structures
VL  - 6
ID  - eprints1992
EP  - 125
ER  -