Effect of Higher Order Taylor Series Expansion Terms of the NI-RPIM on the Solution Accuracy of 2D Elastic Problems

Yavuz, Mustafa Murat; Kanber, Bahattin

doi:10.5505/pajes.2014.29591

Cited by 1 publication

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“…In nodal integration calculations of solid mechanics problems, second order terms can be enough for displacement calculations. However, if stress results are evaluated, it is better to use fourth order terms in some investigated cases [29] for 2D elastostatic problems. Although the method is applied and investigated for 2D cases, the usage of higher order terms of Taylor series expansion on nodal integration is limited, especially in 3D RPIM.…”

Section: Introductionmentioning

confidence: 99%

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

Yavuz¹,

Kanber²

2014

Turkish J Eng Env Sci

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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.

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Section: Introductionmentioning

confidence: 99%

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

Yavuz¹,

Kanber²

2014

Turkish J Eng Env Sci

Self Cite

View full text Add to dashboard Cite

show abstract

Effect of Higher Order Taylor Series Expansion Terms of the NI-RPIM on the Solution Accuracy of 2D Elastic Problems

Abstract: AbstractÖz In this study, effects of higher order Taylor series expansion terms in the nodal integration scheme of radial point interpolation method (NI-RPIM)

Cited by 1 publication

References 21 publications

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

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

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