TY - JOUR
T1 - On the conductance of a lattice-like network
AU - Fujita, S.
AU - Garcia, A.
AU - O'leyar, D.
AU - Watanabe, S.
AU - Burnett, T.
PY - 1989
Y1 - 1989
N2 - The conductance of a lattice-like network of thin uniform wires of cross section A and conductivity σ is calculated in an elementary manner. It is shown that the conductance Sμ of a network between two parallel metal plates of area Ap and separation d (with the neglect of the edge effect) is given by Sμ=Apd-1δμδ ∑ channelsδjcos2μj where cos μj are the directional cosines relative to the measurement direction μ (perpendicular to the plates) and the channel directions j (the directions of wires); σj are the channel conductivities and, in the present case, they are given by σj = njσA with nj denoting the areal densities of wires for the channels j The above formulas (a) and (b) can be applied to a wide range of situations including the cases where the wires intersect with each other, the wires within each channel are not evenly spaced and the channels are not mutually orthogonal. The effective conductivity σμ, which in general depends on the measurement direction μ, can be regarded as the diagonal projection of a structure-material tensor characterizing the conduction property of the network. A few applications are discussed.
AB - The conductance of a lattice-like network of thin uniform wires of cross section A and conductivity σ is calculated in an elementary manner. It is shown that the conductance Sμ of a network between two parallel metal plates of area Ap and separation d (with the neglect of the edge effect) is given by Sμ=Apd-1δμδ ∑ channelsδjcos2μj where cos μj are the directional cosines relative to the measurement direction μ (perpendicular to the plates) and the channel directions j (the directions of wires); σj are the channel conductivities and, in the present case, they are given by σj = njσA with nj denoting the areal densities of wires for the channels j The above formulas (a) and (b) can be applied to a wide range of situations including the cases where the wires intersect with each other, the wires within each channel are not evenly spaced and the channels are not mutually orthogonal. The effective conductivity σμ, which in general depends on the measurement direction μ, can be regarded as the diagonal projection of a structure-material tensor characterizing the conduction property of the network. A few applications are discussed.
KW - Wire network conductance
KW - lattice-like circuits
KW - network conductivity tensor
KW - resistance
KW - thermal conductivity
UR - http://www.scopus.com/inward/record.url?scp=0024867335&partnerID=8YFLogxK
U2 - 10.1016/0022-3697(89)90468-X
DO - 10.1016/0022-3697(89)90468-X
M3 - Artículo
SN - 0022-3697
VL - 50
SP - 27
EP - 31
JO - Journal of Physics and Chemistry of Solids
JF - Journal of Physics and Chemistry of Solids
IS - 1
ER -