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## Effects of higher order Taylor series terms on the solution accuracy of NI-RPIM for 3D elastostatic problems

#### Mustafa Murat YAVUZ [1] , Bahattin KANBER [2]

Effects of higher order Taylor series terms of the nodal integration-radial point interpolation method (NI-RPIM) are investigated on the solution accuracy of 3D elastostatic problems. The nodal integration technique is based on Taylor series expansion and, generally, its first two terms are used. It is only applied to 2D elastostatic problems in the literature. However, in the current study, terms are used up to the 5th order and it is applied to 3D elastostatic problems. Integration domains are obtained with rectangular prisms. Three different case studies are solved with different support domain sizes and shape parameters. Their results are compared with the finite element method, RPIM with Gauss integration, and available analytical solutions. Results are discussed in detail.
NI-RPIM, nodal integration, Taylor expansion, 3D static problems
Journal Section Articles Author: Mustafa Murat YAVUZ Author: Bahattin KANBER Publication Date : June 1, 2014
 Bibtex @ { tbtkengineering401397, journal = {Turkish Journal of Engineering and Environmental Sciences}, issn = {1300-0160}, eissn = {1303-6157}, address = {}, publisher = {TUBITAK}, year = {2014}, volume = {38}, pages = {411 - 433}, doi = {}, title = {Effects of higher order Taylor series terms on the solution accuracy of NI-RPIM for 3D elastostatic problems}, key = {cite}, author = {YAVUZ, Mustafa Murat and KANBER, Bahattin} } APA YAVUZ, M , KANBER, B . (2014). Effects of higher order Taylor series terms on the solution accuracy of NI-RPIM for 3D elastostatic problems. Turkish Journal of Engineering and Environmental Sciences , 38 (3) , 411-433 . Retrieved from https://dergipark.org.tr/en/pub/tbtkengineering/issue/35821/401397 MLA YAVUZ, M , KANBER, B . "Effects of higher order Taylor series terms on the solution accuracy of NI-RPIM for 3D elastostatic problems". Turkish Journal of Engineering and Environmental Sciences 38 (2014 ): 411-433 Chicago YAVUZ, M , KANBER, B . "Effects of higher order Taylor series terms on the solution accuracy of NI-RPIM for 3D elastostatic problems". Turkish Journal of Engineering and Environmental Sciences 38 (2014 ): 411-433 RIS TY - JOUR T1 - Effects of higher order Taylor series terms on the solution accuracy of NI-RPIM for 3D elastostatic problems AU - Mustafa Murat YAVUZ , Bahattin KANBER Y1 - 2014 PY - 2014 N1 - DO - T2 - Turkish Journal of Engineering and Environmental Sciences JF - Journal JO - JOR SP - 411 EP - 433 VL - 38 IS - 3 SN - 1300-0160-1303-6157 M3 - UR - Y2 - 2020 ER - EndNote %0 Turkish Journal of Engineering and Environmental Sciences Effects of higher order Taylor series terms on the solution accuracy of NI-RPIM for 3D elastostatic problems %A Mustafa Murat YAVUZ , Bahattin KANBER %T Effects of higher order Taylor series terms on the solution accuracy of NI-RPIM for 3D elastostatic problems %D 2014 %J Turkish Journal of Engineering and Environmental Sciences %P 1300-0160-1303-6157 %V 38 %N 3 %R %U ISNAD YAVUZ, Mustafa Murat , KANBER, Bahattin . "Effects of higher order Taylor series terms on the solution accuracy of NI-RPIM for 3D elastostatic problems". Turkish Journal of Engineering and Environmental Sciences 38 / 3 (June 2014): 411-433 . AMA YAVUZ M , KANBER B . Effects of higher order Taylor series terms on the solution accuracy of NI-RPIM for 3D elastostatic problems. Turkish Journal of Engineering and Environmental Sciences. 2014; 38(3): 411-433. Vancouver YAVUZ M , KANBER B . Effects of higher order Taylor series terms on the solution accuracy of NI-RPIM for 3D elastostatic problems. Turkish Journal of Engineering and Environmental Sciences. 2014; 38(3): 433-411.