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Similarities and differences between the elasticity and the conductivity problems are discussed.
For the computation of the singular exponents, 2-D elasticity and conductivity problems are first transformed into polar coordinates, then reduced to 1-D problems in terms of the angular variable via the Mellin transform, prior to a finite-element discretization.
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The results indicated that LiFePO4 particles were well coated with the conductive CNSs to overcome the intrinsic low electronic conductivity problem of LiFePO4.
This changes the chemistry of the electrode, getting around the conductivity problem.
The shape in consideration is a solution of an inverse conductivity problem.
A better and concise proof of a fundamental proposition concerning the refracted flux across a bi-material interface in the conductivity problem is also provided.
One of the series for periodic composites is the famous lattice sum S2="π deduced by Rayleigh for a conductivity problem.
We analyze a typical 3-D conductivity problem which consists in seeking the optimal layout of two materials in a given design domain Ω⊂R3 by minimizing the L2-norm of the electric field under a constraint on the amount on each material that we can use.
As a consequence, the controlled inclusion of defects and/or impurities in GNRs has been proposed to overcome the minimum of conductivity problem [4].
In the case of the contact type of temperature sensors, it is also hard to measure the operating temperature of micro gas sensors with membranes due to the fracture problem from fragile structures of membranes and thermal conductivity problem between the micro heaters and contact type temperature sensors.
The material is also a weak p-type metal (p ≈ 10 cm–3) which mitigates the well-known conductivity mismatch problem to semiconductors.
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