AbstractÖz In this study, effects of higher order Taylor series expansion terms in the nodal integration scheme of radial point interpolation method (NI-RPIM)
In this paper, tetrahedral background cells are used in nodal integration of radial point interpolation method (RPIM). The nodal integration is based on Taylor series terms and it is originally applied for the solutions of 2D problems in literature. Therefore, in this study, it is attempted that the tetrahedral integration cells are used in the solution of 3D elasto-static problems. The accuracy is seriously affected by order of Taylor series terms and it is investigated up to fifth order. A methodology is developed for prevention of negative volumes and calculation problems in subdivision of integration cells for each node. Three different case studies are solved with different support domain sizes and shape parameters. The best accuracy is achieved with fourth-order Taylor terms in nodal integration radial point interpolation method (NI-RPIM). [Formula: see text]-value of 3.00 and [Formula: see text] value of 1.03 in radial basis functions give good results in all cases.
Tube systems are widely used in heat transfer and intensive research is being done on positioning tubes on a platform. The platform structure is constantly exposed to thermal changes under operating conditions and the resulting stresses cause damage to existing systems. In this study, 8 thin-walled tubes were positioned on flat and curved platforms that were widely used and the stress behavior under thermal effects was investigated. Finite element analysis was used, and steadystate thermal condition was considered in the numerical investigation. The effects of temperature difference between platform surfaces and the thermal conductivity at the tube surfaces were investigated. It has been determined that the stress on the platform is higher than the stress on the tubes and the increase in the temperature difference on the platform surfaces increases the stress drastically. The increased thermal conductivity coefficient on the tube surface reduced the stresses on the platform and increased fatigue performance. Flat platform has lower contact pressure and platform stresses and better fatigue behavior. Results are discussed in detail.
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