Two theorems on the steady-state conduction in anisotropic body

✍ Scribed by István Ecsedi

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 244 KB
• Volume: 33
• Category: Article
• ISSN: 0093-6413
• DOI: 10.1016/j.mechrescom.2005.08.003

✦ Synopsis

In this paper, steady-state plane conduction problems are considered. Two theorems are proven on the conductance of non-homogeneous and anisotropic plane conductors. Here, the conductor is a two-dimensional bounded plane domain with a conducting matter having two seperated boundary terminals and two seperated insulated boundary segments. Known theorems referring to homogeneous and isotropic conductors have been extended to non-homogeneous and anisotropic ones. The results of the paper can be directly used in following fields: heat flow, diffusion, irrotational hydraulic flow, flow of electrical current and anti-plane shear deformation. Application of formulae derived is illustrated in the examples of heat flow and anti-plane elastic shear deformation.