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- W143348612 abstract "Multi-material wedges are frequently observed in composite materials. They consist of two or moresectors of dissimilar materials joined together, whose interfaces converge to the same vertex. Due to themismatch 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 junctionvertex. In this paper, focusing the attention on singular harmonic problems, the mathematical analogiesintercurring between antiplane shear problem in elasticity due to Mode III loading or torsion, thesteady-state heat transfer problem, and the diffraction of waves in electromagnetism are presented. Theproposed unified mathematical formulation is particularly convenient for the identification of commontypes of singularities (power-law or logarithmic type), for the use of a standardized method for solvingthe nonlinear eigenvalue problems, and for the determination of common geometrical and materialconfigurations permitting to relieve or remove the singularities." @default.
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- W143348612 date "2010-01-01" @default.
- W143348612 modified "2023-09-27" @default.
- W143348612 title "Singular harmonic problems at multi-material wedges: mathematical analogies between elasticity, diffusion and electromagnetism" @default.
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