TY - JOUR
T1 - Three-dimensional transient heat conduction problems in FGMs via IG-DRBEM
AU - Yu, Bo
AU - Cao, Geyong
AU - Meng, Zeng
AU - Gong, Yanpeng
AU - Dong, Chunying
N1 - Publisher Copyright:
© 2021 Elsevier B.V.
PY - 2021/10/1
Y1 - 2021/10/1
N2 - In this paper, the isogeometric dual reciprocity boundary element method (IG-DRBEM) is firstly applied to solve three-dimensional (3D) transient heat conduction problems in functionally graded materials (FGMs) with heat sources. Using the fundamental solution of the 3D potential problem, the integral equation of boundary-domain is established by the weighted residual method. The normalized temperature is introduced, and the domain integral is transformed into the boundary integral by the dual reciprocity method (DRM). Finally, the theoretical framework of the isogeometric BEM for FGMs problems is established. Furthermore, the effects of different approximation functions, time steps, element refinements and the distance from the inner point to the boundary on the results are discussed in detail via several examples, which verify the validity of the presented method. In order to promote the development of IGBEM, the program code of this article can be obtained by sending email to yubochina@hfut.edu.cn.
AB - In this paper, the isogeometric dual reciprocity boundary element method (IG-DRBEM) is firstly applied to solve three-dimensional (3D) transient heat conduction problems in functionally graded materials (FGMs) with heat sources. Using the fundamental solution of the 3D potential problem, the integral equation of boundary-domain is established by the weighted residual method. The normalized temperature is introduced, and the domain integral is transformed into the boundary integral by the dual reciprocity method (DRM). Finally, the theoretical framework of the isogeometric BEM for FGMs problems is established. Furthermore, the effects of different approximation functions, time steps, element refinements and the distance from the inner point to the boundary on the results are discussed in detail via several examples, which verify the validity of the presented method. In order to promote the development of IGBEM, the program code of this article can be obtained by sending email to yubochina@hfut.edu.cn.
KW - Dual reciprocity method
KW - Functionally graded materials
KW - Isogeometric BEM
KW - Transient heat transfer
UR - http://www.scopus.com/inward/record.url?scp=85107606897&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2021.113958
DO - 10.1016/j.cma.2021.113958
M3 - Article
AN - SCOPUS:85107606897
SN - 0045-7825
VL - 384
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
M1 - 113958
ER -