Paggi, Marco and Carpinteri, Alberto Singular harmonic problems at multi-material wedges: mathematical analogies between elasticity, diffusion and electromagnetism. In: 18th European Conference on Fracture (ECF18), August 30 - September 03, 2010, Dresden, Germany pp. 1-8. (Unpublished) (2010)
Full text not available from this repository.Abstract
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.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Singularities, multi-material wedges, elasticity, diffusion, electromagnetism |
| Subjects: | T Technology > TJ Mechanical engineering and machinery |
| Research Area: | Computer Science and Applications |
| Depositing User: | Prof Marco Paggi |
| Date Deposited: | 20 Dec 2013 10:13 |
| Last Modified: | 09 Oct 2014 09:20 |
| URI: | http://eprints.imtlucca.it/id/eprint/2080 |
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