Title
Bounds for the effective conductivity of a composite with an imperfect interface
Document Type
Article
Publication Date
6-8-2001
Abstract
The problem of bounding the effective conductivity of a two-phase composite with an imperfect interface is considered. The interface can be either highly conducting or resistive, and both the material properties and geometric arrangement of the phases can be anisotropic. The problem is formulated variationally and by choosing appropriate trial fields, new bounds are obtained in terms of upper and lower bounds on the effective conductivity of a composite with the same microgeometry in which the phases are perfectly bonded. The methodology also applies to composites with a nonlinear interface, and a particular example is described.
Publication Source (Journal or Book title)
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
First Page
1501
Last Page
1517
Recommended Citation
Lipton, R., & Talbot, D. (2001). Bounds for the effective conductivity of a composite with an imperfect interface. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 457 (2010), 1501-1517. https://doi.org/10.1098/rspa.2000.0775