Using axisymmetric smoothed finite element method (S-FEM) to analyze pressure piping with defect in ABAQUS. (English) Zbl 07336574
Summary: Pressure piping is the most productive way for large-volume compressed natural gas (CNG) transportation. In pipeline constructions, the thickness at the point where two pipes join together is often not consistent due to the mismatch in dimensions, and thus stress concentrations can often occur at the pipe joints, causing safety concerns. Therefore, it is important to accurately analyze the key influencing factors of dimensional mismatch defects, providing a theoretical basis for the preliminary design and post-repair of pipelines. This work uses the smoothed finite element method (S-FEM) that has been proven accurate in stress analysis compared with the traditional FEM. Since geometry and load of the pressure piping are axisymmetric, a novel axisymmetric S-FEM element is first developed, coded and integrated in ABAQUS using the User-defined Element Library (UEL). Intensive studies are then carried out to examine the effects of different levels of mismatch in the thicknesses of two joined pipes and the effects of the radius of the transitional fillet used to bridge the mismatches. It is found that the maximum hoop stress reduces as the radius of the transitional fillet increases. For the thinner section of the pipe, the maximum hoop stress is only affected by the thickness mismatch.
Keywords:
pressure piping; finite element analysis; smoothed finite element method; mismatch; transitional filletReferences:
| [1] | Bathe, K. J. [1996] Finite Element Procedures (Prentice Hall, New Jersey). · Zbl 1326.65002 |
| [2] | Bordas, S. P. A., Rabczuk, T., Nguyen-Xuan, H., Nguyen, V. P., Natarajan, S., Bog, T., Quan, D. M. and Hiep, N. V. [2010] “ Strain smoothing in FEM and XFEM,” Comput. Struct.88, 1419-1443. |
| [3] | Brabin, T. A., Christopher, T. and Rao, B. N. [2010] “ Finite element analysis of cylindrical pressure vessels having a misalignment in a circumferential joint,” Int. J. Press. Vessels Pip.87, 197-201. |
| [4] | Chen, J. S., Wu, C. T. and Yoon, S. Y. [2001] “ A stabilized conforming nodal integration for Galerkin mesh-free methods,” Int. J. Numer. Methods Eng.50, 435-466. · Zbl 1011.74081 |
| [5] | Dai, K. Y., Liu, G. R. and Nguyen-Thoi, T. [2007] “ An \(n\)-side polygonal smoothed finite element method (NSFEM) for solid mechanics,” Finite Elem. Anal. Des.43, 847-860. |
| [6] | Giner, E., Sukumar, N., Tarancon, J. E. and Fuenmayor, F. J. [2009] “ An ABAQUS implementation of the extended finite element method,” Eng. Fract. Mech.76(3), 347-368. |
| [7] | Guo, Y. M. and Yagawa, G. [2016] “ A meshless method with conforming and nonconforming sub-domains,” Int. J. Numer. Methods Eng.110(9), 826-841. · Zbl 07866634 |
| [8] | He, Z. C., Li, G. Y., Zhong, Z. H., Cheng, A. G., Zhang, G. Y., Li, E. and Liu, G. R. [2012] “ An ES-FEM for accurate analysis of 3D mid-frequency acoustics using tetrahedron mesh,” Comput. Struct.106-107(5), 125-134. |
| [9] | Iflefel, I. B., Moffat, D. G. and Mistry, J. [2005] “ The interaction of pressure and bending on a dented pipe,” Int. J. Press. Vessels Pip.82, 761-769. |
| [10] | Lasebikan, B. A. and Akisanya, A. R. [2014] “ Burst pressure of super duplex stainless steel pipes subject to combined axial tension, internal pressure and elevated temperature,” Int. J. Press. Vessels Pip.119, 62-68. |
| [11] | Li, E., He, Z. C., Xu, X. and Liu, G. R. [2015] “ Hybrid smoothed finite element method for acoustic problems,” Comput. Methods Appl. Mech. Eng.283, 664-688. · Zbl 1423.74902 |
| [12] | Liu, G. R., Dai, K. Y. and Nguyen-Thoi, T. [2007] “ A smoothed finite element method for mechanics problems,” Comput. Mech.39, 859-877. · Zbl 1169.74047 |
| [13] | Liu, G. R., Nguyen-Thoi, T. and Lam, K. Y. [2008] “ A novel alpha finite element method \(( \alpha\) FEM) for exact solution to mechanics problems using triangular and tetrahedral elements,” Comput. Methods Appl. Mech. Eng.197, 3883-3897. · Zbl 1194.74433 |
| [14] | Liu, G. R., Nguyen-Thoi, T. and Lam, K. Y. [2009a] “ An edge-based smoothed finite element method (ES-FEM) for static, free and forced vibration analyses in solids,” J. Sound Vib.320, 1100-1130. |
| [15] | Liu, G. R., Nguyen-Thoi, T., Nguyen-Xuan, H. and Lam, K. Y. [2009b] “ A node-based smoothed finite element method (NS-FEM) for upper bound solution to solid mechanics problem,” Comput. Struct.87, 12-26. |
| [16] | Liu, G. R., Chen, L. and Li, M. [2014] “ S-FEM for fracture problems, theory, formulation and application,” Int. J. Comput. Methods11(3), 1343003. · Zbl 1359.74025 |
| [17] | Liu, G. R., Chen, M. M. and Li, M. [2017] “ Lower bound of vibration modes using the node-based smoothed finite element method (NS-FEM),” Int. J. Comput. Methods14(4), 1750036. · Zbl 1404.74163 |
| [18] | Liu, G. R. and Gu, Y. T. [2005] An Introduction to Meshfree Methods and Their Programming (SpringerNetherlands, Amsterdam). |
| [19] | Liu, G. R. and Quek, S. S. [2010] The Finite Element Method: A Practical Course, Second Edition (Butterworth-Heinemann, Oxford). · Zbl 1027.74001 |
| [20] | Liu, G. R. and Trung, N. T. [2010] Smoothed Finite Element Methods (CRC Press, Boca Raton). · Zbl 1205.74003 |
| [21] | Liu, G. R. [2002] Meshfree Methods: Moving Beyond the Finite Element Method, 1st Edition (CRC Press, Boca Raton) [see also 2nd Edition printed in 2009]. |
| [22] | Liu, G. R. [2008] “ A generalized gradient smoothing technique and the smoothed bilinear form for Galerkin formulation of a wide class of computational methods,” Int. J. Comput. Methods5(2), 199-236. · Zbl 1222.74044 |
| [23] | Liu, G. R. [2016] “ An overview on meshfree methods: For computational solid mechanics,” Int. J. Comput. Methods13(5), 1630001. · Zbl 1359.74388 |
| [24] | Liu, G. R. [2018] “ A novel pick-out theory and technique for constructing the smoothed derivatives of functions for numerical methods,” Int. J. Numer. Methods Eng.15(3), 1850070. · Zbl 1404.74162 |
| [25] | Netto, T. A., Ferraz, U. S. and Botto, A. [2007] “ On the effect of corrosion defects on the collapse pressure of pipelines,” Int. J. Solids Struct.44, 7597-7614. · Zbl 1166.74304 |
| [26] | Nguyen-Thoi, T., Liu, G. R., Dai, K. Y. and Lam, K. Y. [2007] “ Selective smoothed finite element method,” Tsinghua Sci. Technol.12(5), 508-597. |
| [27] | Nguyen-Thoi, T., Liu, G. R. and Nguyen-Xuan, H. [2009a] “ Additional properties of the node-based smoothed finite element method (NS-FEM) for solid mechanics problems,” Int. J. Comput. Methods6(4), 633-666. · Zbl 1267.74115 |
| [28] | Nguyen-Thoi, T., Liu, G. R. and Nguyen-Xuan, H. [2009b] “ An \(n\)-sided polygonal edge-based smoothed finite element method (NES-FEM) for solid mechanics,” Commun. Numer. Methods Eng.27(9), 1446-1472. · Zbl 1248.74043 |
| [29] | Nguyen-Thoi, T., Liu, G. R., Lam, K. Y. and Zhang, G. Y. [2009c] “ A face-based smoothed finite element method (FS-FEM) for 3D linear and nonlinear solid mechanics problems using 4-node tetrahedral elements,” Int. J. Numer. Methods Eng.78, 324-353. · Zbl 1183.74299 |
| [30] | Rahul and De, S. [2015] “ Analysis of the Jacobian-free multiscale method (JFMM),” Comput. Mech.56(5), 769-783. · Zbl 1329.74285 |
| [31] | Shi, Y. and Zhou, Y. [2006] Detailed ABAQUS Finite Element Analysis Examples (Mechanical Engineering Press, Beijing). |
| [32] | Thanh, C. D., Quang, N. D. and Hung, N. X. [2017] “ Improvement on MITC3 plate finite element using edge-based strain smoothing enhancement for plate analysis,” ACTA Mech.228(6), 2141-2163. · Zbl 1369.74077 |
| [33] | Wan, D. T., Hu, D. A., Yang, G. and Long, T. [2016] “ A fully smoothed finite element method for analysis of axisymmetric problems,” Eng. Anal. Bound. Elem.72, 78-88. · Zbl 1403.65142 |
| [34] | Wang, S. [2014] An ABAQUS Implementation of the Cell-Based Smoothed Finite Element Method Using Quadrilateral Elements Master’s Thesis, The University of Cincinnati. |
| [35] | Weissenfels, C. and Wriggers, P. [2018] “ Stabilization algorithm for the optimal transportation meshfree approximation scheme,” Comput. Methods Appl. Mech. Eng.239, 421-443. · Zbl 1439.65123 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
