Variational methods, bounds, and size effects for composites with highly conducting interface
نویسندگان
چکیده
منابع مشابه
Variational Methods, Bounds and Size E ects for Composites with Highly Conducting Interface
New variational principles are developed for the e ective conductivity tensor for anisotropic two-phase electric conductors. Here the interface between phases is assumed to be highly conducting. Extra geometric information is encoded into the principles through the solution operators of simpler transport problems. These operators can be expressed as gradients of simple layer potentials with den...
متن کاملReciprocal Relations, Bounds, and Size Effects for Composites with Highly Conducting Interface
We provide a reciprocal relation linking the effective conductivity of a composite with highly conducting phase interfaces to that of a composite with the same phase geometry but with an electrical contact resistance at phase interfaces. A field relationship linking the electric field inside a composite with highly conducting phase interfaces to the current in a composite with contact resistanc...
متن کاملReciprocal Relations, Bounds and Size Eeects for Composites with Highly Conducting Interface
We provide a reciprocal relation linking the eeective conductivity of a composite with highly conducting phase interfaces to that of a composite with the same phase geometry but with an electrical contact resistance at phase interfaces. A eld relationship linking the electric eld inside a composite with highly conducting phase interfaces to the current in a composite with contact resistance bet...
متن کاملReciprocal Relations , Bounds and Size E ects for Composites with Highly Conducting Interface
We provide a reciprocal relation linking the e ective conductivity of a composite with highly conducting phase interfaces to that of a composite with the same phase geometry but with an electrical contact resistance at phase interfaces. A eld relationship linking the electric eld inside a composite with highly conducting phase interfaces to the current in a composite with contact resistance bet...
متن کاملVariational methods\ bounds and size e}ects for two!phase composites with coupled heat and mass transport processes at the two!phase interface
New variational principles are developed for the e}ective heat conductivity tensor of aniso! tropic two!phase composites in the presence of coupled mass and heat transport processes at the two!phase interface[ We focus on physical situations where an imposed temperature gradient causes impurities or lattice defects to concentrate on the two!phase interface and di}use along it[ This is accompani...
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ژورنال
عنوان ژورنال: Journal of the Mechanics and Physics of Solids
سال: 1997
ISSN: 0022-5096
DOI: 10.1016/s0022-5096(96)00097-x