Three boundary meshless methods for heat conduction analysis in nonlinear FGMs with Kirchhoff and Laplace transformation

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dc.contributor.authorFu, Zhuo-Jia
dc.contributor.authorChen, Wen
dc.contributor.authorQin, Qing Hua
dc.date.accessioned2015-12-10T23:30:59Z
dc.date.issued2012
dc.date.updated2016-02-24T08:50:04Z
dc.description.abstractThis paper presents three boundary meshless methods for solving problems of steady-state and transient heat conduction in nonlinear functionally graded materials (FGMs). The three methods are, respectively, the method of fundamental solution (MFS), the boundary knot method (BKM), and the collocation Trefftz method (CTM) in conjunction with Kirchhoff transformation and various variable transformations. In the analysis, Laplace transform technique is employed to handle the time variable in transient heat conduction problem and the Stehfest numerical Laplace inversion is applied to retrieve the corresponding time-dependent solutions. The proposed MFS, BKM and CTM are mathematically simple, easyto-programming, meshless, highly accurate and integration-free. Three numerical examples of steady state and transient heat conduction in nonlinear FGMs are considered, and the results are compared with those from meshless local boundary integral equation method (LBIEM) and analytical solutions to demonstrate the efficiency of the present schemes.
dc.identifier.issn2075-1354
dc.identifier.urihttp://hdl.handle.net/1885/68415
dc.publisherGlobal Science Press
dc.sourceAdvances in Applied Mathematics and Mechanics
dc.subjectKeywords: Boundary knot method; Collocation trefftz method; Kirchhoff transformation; Laplace transformation; Meshless method; Method of fundamental solution
dc.titleThree boundary meshless methods for heat conduction analysis in nonlinear FGMs with Kirchhoff and Laplace transformation
dc.typeJournal article
local.bibliographicCitation.issue5
local.bibliographicCitation.lastpage542
local.bibliographicCitation.startpage519
local.contributor.affiliationFu, Zhuo-Jia, College of Engineering and Computer Science, ANU
local.contributor.affiliationChen, Wen, Hohai University
local.contributor.affiliationQin, Qing Hua, College of Engineering and Computer Science, ANU
local.contributor.authoremailu4119044@anu.edu.au
local.contributor.authoruidFu, Zhuo-Jia, u4767974
local.contributor.authoruidQin, Qing Hua, u4119044
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor091300 - MECHANICAL ENGINEERING
local.identifier.ariespublicationf5625xPUB1705
local.identifier.citationvolume4
local.identifier.doi10.4208/aamm.10-m1170
local.identifier.scopusID2-s2.0-84867662053
local.identifier.thomsonID000314400400001
local.identifier.uidSubmittedByf5625
local.type.statusPublished Version

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