Edwards, D A2022-05-092022-05-092022-04-03D 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/hxac0061464-3634https://udspace.udel.edu/handle/19716/30858This 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.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.en-US3-D printingfused filament fabricationheat equationweld temperaturenon-self-adjoint problemsArticle