The Scaling Law for Resistance of a Wearable Fabric Sensor: Fractal Analysis and Experimental Verification Volume 4 - Issue 2

Yu-Ting Zuo^1,2*

• ¹School of Materials Science and Engineering, Lanzhou University of Technology Lanzhou, PR China
• ²State Key Laboratory of Advanced Processing and Recycling of Non-ferrous Metals, Lanzhou University of Technology, PR China

Received:August 24, 2021   Published: September 07, 2021

*Corresponding author: Yu-Ting Zuo, School of Materials Science and Engineering, State Key Laboratory of Advanced Processing and Recycling of Non-ferrous Metals, Lanzhou University of Technology Lanzhou, PR China

DOI: 10.32474/LTTFD.2021.04.000186

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Abstract

The resistance formulation for a metal conductor is well-known to all students. It scales with the ratio of its length to the square of the radius. For non-metal conductors, e.g., a wearable fabric sensor, this formulation becomes totally invalid, and a fractal modification has to be adopted. This paper employs the two-scale fractal theory to establish a scaling law for the resistance of a carbon-based sensor material for smart fabric applications, and an experiment is carried out to verify the new formulation.

Keywords: Graphene-based Composites; Two-scale Fractal Dimension; Scaling Law; Carbon

Abstract| Introduction| Scaling Laws For Carbon-Based Materials| Two-Scale Fractal Dimension| Experiment| Conclusions| Conflict of Interest| References|