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The total amount of current flowing through one unit value of a cross-sectional area is referred to as current density. If the current flow is uniform, the amount of current flowing through a conductor is the same at all points along the conductor, even if the conductor area varies. The current density consists of the local magnitude and direction of the charge flow, which varies from point to point. Current density is measured in amperes per meter square, and direction is defined as the net...
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Modelling of Anisotropic Electrical Conduction in Layered Structures 3D-Printed with Fused Deposition Modelling.

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Summary

This study presents an analytical model for electrical conduction in 3D-printed conductive structures, addressing anisotropic properties. The model accurately predicts voltage, current, and power, aiding in the design of 3D-printed sensors.

Keywords:
3D printinganisotropyelectrical resistivityfused deposition modelingtrack-elements, 3D-printed sensors

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Area of Science:

  • Materials Science
  • Electrical Engineering
  • Additive Manufacturing

Background:

  • 3D-printed conductive structures are gaining traction for sensor applications.
  • Anisotropic electrical properties arise from 3D printing processes, limiting understanding of conduction.
  • Limited insights exist into electrical conduction influenced by these anisotropic properties.

Purpose of the Study:

  • To develop an analytical model for electrical conduction in 3D-printed conductive structures.
  • To investigate the impact of anisotropic electrical properties on conduction.
  • To provide a framework for understanding and designing 3D-printed sensor elements.

Main Methods:

  • Electrical network modeling of bulk and contact properties within printed track elements (traxels).
  • Application of boundary conditions for meandering and open-ended traxels.
  • Solving model equations as an eigenvalue problem to determine electrical parameters.
  • Verification using a simplified analytical example and Finite Element Method (FEM) simulations.

Main Results:

  • The model successfully yields voltage, current density, and power dissipation density distributions.
  • Good correspondence was observed between the analytical model and FEM simulations.
  • Introduced three dimensionless numbers (anisotropy ratio, aspect ratio, number of traxels) for analysis.
  • The model can capture conductive behavior ranging from isotropic to anisotropic.

Conclusions:

  • The developed analytical model provides crucial insights into electrical conduction in 3D-printed conductive structures.
  • The model's accuracy is validated by analytical examples and FEM simulations.
  • It offers a valuable tool for explaining the behavior of 3D-printed sensors, such as constriction-resistive strain sensors.