Accession Number:

AD1112866

Title:

A Comparison of a Mixed-Cell Electrical Conductivity Model to the Volume-Averaging Approximation

Descriptive Note:

[Technical Report, Technical Note]

Corporate Author:

US Army Combat Capabilities Development Command, Army Research Laboratory

Personal Author(s):

• Segletes, Steven B.

Report Date:

2020-10-01

Pagination or Media Count:

19

Abstract:

In this note, a model for mixed-cell electrical conductivity, previously developed by the author, is examined and compared to a simpler model based on volume averaging. Understanding is gained by reformulating the underlying assumptions of the authors model so as to achieve a result that mimics the volume-averaging approach. Then, those revised underlying assumptions are examined for their fidelity to the physical and morphological processes that govern electrical flow in a heterogeneous body. In so doing, an understanding is reached as to why volume averaging does not provide the most favorable match to expected physical behavior of a heterogeneous electrical conductor.

Descriptors:

• military research
• electrical conductivity
• abstracts
• conductivity
• materials
• probability
• statistical functions
• hierarchies
• dielectrics
• equations
• therapy
• buildings and structures
• deficiencies
• efficiency
• inclusions
• interpolation
• materials laboratories
• mathematics
• reliability
• research facilities

Subject Categories:

• Electricity and Magnetism
• Numerical Mathematics

Distribution Statement:

[A, Approved For Public Release]