Quasisteady models for weld temperatures in fused filament fabrication
Date
2022-04-03
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
IMA Journal of Applied Mathematics
Abstract
During fused filament fabrication (FFF), strands of hot extruded polymer are layered onto a cooler substrate. The bond strength between layers is related to the weld temperature at the polymer/substrate interface, and hence understanding temperature evolution is of keen interest. A series of increasingly sophisticated models is presented: a standard heat equation, an unsteady fin equation and a fin equation with a heat-loss jump condition. Each is analytically tractable and uses a quasisteady approximation for the temperature in the growing substrate. The jump condition introduces the complication of a non-self-adjoint problem, but fits the experimental data very well.
Description
This is a pre-copyedited, author-produced PDF of an article accepted for publication in
IMA Journal of Applied Mathematics following peer review. The version of record D A Edwards, Quasisteady models for weld temperatures in fused filament fabrication, IMA Journal of Applied Mathematics, Volume 87, Issue 2, April 2022, Pages 291–313, https://doi.org/10.1093/imamat/hxac006 is available online at: https://doi.org/10.1093/imamat/hxac006. This article will be embargoed until 04/03/2023.
Keywords
3-D printing, fused filament fabrication, heat equation, weld temperature, non-self-adjoint problems
Citation
D A Edwards, Quasisteady models for weld temperatures in fused filament fabrication, IMA Journal of Applied Mathematics, Volume 87, Issue 2, April 2022, Pages 291–313, https://doi.org/10.1093/imamat/hxac006