3-D transient analytical solution based on Green's function to temperature field in friction stir welding

DOI10.1016/J.APM.2013.05.034zbMath1449.80011OpenAlexW2071599846MaRDI QIDQ1792346

Pouya Bahemmat, Mohammad Haghpanahi, Solaleh Salimi, Sadaf Sima

Publication date: 11 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.05.034

zbMATH Keywords

analytical solutionGreen's functiontemperature fieldFSWpreheating stage

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Diffusive and convective heat and mass transfer, heat flow (80A19) Classical solutions to PDEs (35A09)

Related Items (3)

A gradually implicit method with deferred correction and adaptive relaxation factors for simulation to nonlinear heat transfer ⋮ Asymptotic profile of solutions to the heat equation on thin plate with boundary heating ⋮ An analytical solution to the thermal problems with varying boundary conditions around a moving source

Cites Work

• Analytical solution for the 3D steady state conduction in a solid subjected to a moving rectangular heat source and surface cooling
• Analytical solution to transient temperature field in a half-infinite body caused by moving volumetric heat source
• Use of 3D-transient analytical solution based on Green's function to reduce computational time in inverse heat conduction problems
• A Green's function model for the analysis of laser heating of materials
• An exact analytical solution for two-dimensional, unsteady, multilayer heat conduction in spherical coordinates
• General solutions for stationary/moving plane heat source problems in manufacturing and tribology
• Temperature distribution in a rectangular plate heated by a moving heat source

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