Finite element method investigation of geometrical influences of adhesive and patch in the safety for 90° elbow piping system

Ibrahim Gadi; Madjid Meriem-Benziane; B. Bachir Bouiadjra

doi:10.15282/jmes.13.4.2019.17.0473

Authors

Ibrahim Gadi LRM, Mechanical Engineering Department, Faculty of Technology, Hassiba Benbouali University of Chlef, P. O. Box 151, Esalem City, 02000, Chlef, Algeria.
Madjid Meriem-Benziane LRM, Mechanical Engineering Department, Faculty of Technology, Hassiba Benbouali University of Chlef, P. O. Box 151, Esalem City, 02000, Chlef, Algeria.
B. Bachir Bouiadjra L1MPM, Department of Mechanical Engineering, University of Sidi Bel Abbes, Algeria

DOI:

https://doi.org/10.15282/jmes.13.4.2019.17.0473

Keywords:

Elbow, crack, bonded composite repair, stress intensity factor, finite element method, internal pressure

Abstract

Piping system elbow study is the most important part in all fields of hydrocarbons transportation which presents the behaviour of circumferential crack at elbow extrados. The effect of geometry of adhesive and patch in the crack elbow is important in pipeline safety. This study shows the details for along the direction of the circumferential elbow crack by three dimensional (FEM) which is used to determine the stress intensity factor at 90° elbow for two cases: firstly, without patch and secondly, repaired with composite patch. This method allows to predict the behaviour of cracked elbow through the analysis of crack propagation under the internal different pressures taking into consideration the operating conditions. The geometry and nature of composite patch proved that the increase of patch thickness leads to decrease the SIF from 7 MPa.m^1/2to 6.15 MPa.m^1/2. It can be concluded that the repairing by composite materials leads to reduce the stress intensity factor with patch which not only can augment the lifetime of pipeline but also decreasing the costs and the pollution.

References

Srivastava A, Prabhakaran KM, Ghosh AK. Studies on the behavior of part-through circumferential crack at intrados in elbows under in-plane bending moment. Nuclear Engineering and Design. 2011; 241: 2386-2397.

Natarajan R, Mirza S. Effect of thickness variation on stress analysis of piping elbows under internal pressure. Comp. Structures. 1984; 18:767-778.

Thomas K. The effects of geometric irregularities on the design analysis of thin-walled piping elbows. J. Pressure Vessels Technology. 1980;102: 410-418.

Zhang S, Gao CR, Zhao DW, Wang GD. Limit Analysis of Defect-Free Pipe Elbow Under Internal Pressure With Mean Yield Criterion. International Journal of Iron and steel research. 2013; 20:11-15.

Chattopadhyay J. The effect of internal pressure on in-plane collapse moment of elbows. Nuclear Engineering and Design. 2002;212:133-144.

Joong-Hyok A, Yun-Jae K, Peter JB. Elastic stress intensity factors and crack opening displacements for circumferential through-walled cracked elbows. Engineering Fracture Mechanics. 2010;77:2821-2839.

Shunhu Z, Xiaonan W, Binna S, Dewen Z. Limit analysis based on GM criterion for defect-free pipe elbow under internal pressure. International Journal of Mechanical Sciences. 2014;78:91-96.

Bin Q, Yadong L, Changrong Y, Xin W. Through-thickness welding residual stress and its effect on stress intensity factors for semi-elliptical surface cracks in a butt-welded steel plate. Engineering Fracture Mechanics. 2018;193:17-31.

Yuan H, Liu WJ, Xie YJ. Mode-I stress intensity factors for cracked special-shaped shells under bending. Engineering Fracture Mechanics. 2019;207:131-148.

Volkan A, Ramazan K, Tuba A. Improvement of load carrying capacity of sandwich composites by different patch repair types. Polymer Testing. 2018;72 :257-262.

Xiaojing C, Ri X. Mingchen H, Jinquan X. A threshold formula for fatigue crack growth with mean stress intensity factors. International Journal of Mechanical Sciences. 2018;135:639-645.

Dursahib. SB, Jefferson AJ, Balaganesan G, Arockiarajan A. The role of patch-parent configurations on the tensile response of patch repaired carbon/epoxy laminates. Polymer Testing. 2018;70:413-425.

Huang T, Yang JJ, Jin J, Wen PH, Aliabadi MH. Evaluation of stress intensity factors and T-stress by finite block method: Static and dynamic. Theoretical and Applied Fracture Mechanics. 2018;93:222-232.

Huan Li, Ran G, Heming C. Calculation of stress intensity factors of matrix crack tip in particle reinforced composites using the singular Voronoi cell finite element method. Theoretical and Applied Fracture Mechanics. 2019;101:269-278.

Minmao L, Pan Z. An improved approach for computation of stress intensity factors using the finite element method. Theoretical and Applied Fracture Mechanics. 2019;101:185-190.

Botong Z, Mina D. Fatigue crack growth analysis of steel elements reinforced with shape memory alloy (SMA)/fiber reinforced polymer (FRP) composite patches. Composite Structures. 2017;164:158-169.

Emre K, Ali OA. Three-dimensional mixed-mode stress intensity factors for deflected internal surface cracks in thin and midsize-thick-walled spherical pressure vessels. International Journal of Pressure Vessels and Piping. 2019;171:10-33.

Amir N. Numerical investigation on stress intensity factor in railway wheelset under the influence of residual stresses induced by press fitting process. Engineering Failure Analysis. 2018;94:78-86.

Yuliang H, Ying T, Cheng L. Thaneshan Sapanathan, Mohamed Rachik, Low-velocity impact behaviors of repaired CFRP laminates: Effect of impact location and external patch configurations. Composites Part B. 2019;163:669-680.

Jaehyung K, Klaus-Jürgen B. The finite element method enriched by interpolation covers. Computers and Structures. 2013;116:35-49.

Fonseca EMM, De Melo FJMQ, Oliveira CAM. Numerical analysis of piping elbows for in-plane bending and internal pressure. Thin-Walled Structures. 2006;44:393-398.

Hyde TH, Becker AA, Sun W, Williams JA. Influence of geometry change on creep failure life of 908 pressurized pipe bends with no initial ovality. International Journal of Pressure Vessels and Piping. 2005;82:509-516.

Hongrui S, Gang C, Yong W, Xu C. Ratcheting behavior of pressurized elbow pipe with local wall Thinning. International Journal of Pressure Vessels and Piping. 2013;102(103):14-23.

Zhang YM, Yi DK, Xiao Z, Huang ZH, Kumar SB. Elasticeplastic fracture analyses for pipeline girth welds with 3D semi-elliptical surface cracks subjected to large plastic bending. International Journal of Pressure Vessels and Piping. 2013;105 (106):90-102.

Bezzerrouki M, Albedah A, Bachir BB. Ouddad W, Benyahia F. Computation of the stress intensity factor for repaired cracks with bonded composite wrap in pipes under traction effect. Composite Materials Journal of Thermoplastic, SAGE. 2012; 26(6): 831-844.

Khan MA. Meraha N, Muhammad JA. 3D effects on crack front core regions, stress intensity factors and crack initiation angles Shafique. International Journal of Solids and Structures. 2013;50:1449-1459.

Shlyannikov VN, Zakharov AP. Multiaxial crack growth rate under variable T-stress. Engineering Fracture Mechanics. 2014;123: 86-99.

Ouinas D, Bachir BB, Achour B, Benderdouche N. Modelling of a cracked aluminium plate repaired with composite octagonal patch in mode I and mixed mode. Materials and Design. 2009;30:590-595.

Miyazaki N, Shibata K. Stress Intensity Factor Analyses of Surface Cracks in Three-dimensional Structures-Comparison of the Finite Element Solutions with the Results Obtained by the Simplified’ Estimation Methods. Int. J. Pres. Ves. & Piping. 1984;15:37-59.

Linxia G, Ananth RMK, Shijia Z. Finite element analysis of cracks in aging aircraft structures with bonded composite-patch repairs. Composites: Part B. 2011;42:505-510.

Bachir BB, Ouinas D., Serier B, Benderdouche N. Disbond effects on bonded boron/epoxy composite repair to aluminium plates. Computational Materials Science. 2008;42:220-227.

Meriem-Benziane M, Abdul-Wahab S, Zahloul H, Babaziane B, Mohamed H, Pluvinage G. Finite element analysis of the integrity of an API X65 pipeline with a longitudinal crack repaired with single- and double- bonded composites. Composites Part B: Engineering. 2015;77: 431-439.

Chao-Shi C, Chia-Hau C, Ernian P. Three-dimensional stress intensity factors of a central square crack in a transversely isotropic cuboid with arbitrary material orientations. Engineering Analysis with Boundary Elements. 2009;33:128- 136.

Rodriguez D, Ochoa OO. Flexural response of spoolable composite tubulars: an integrated experimental and computational assessment. J Compos Sci Technol. 2004;64(13–14):2075-88.

Kim W, Ochoa OO, Miller C. Axial and burst analysis of offshore omposite risers. In: Proceedings of 20th annual technical conference of the American society for composites. (Philadelphia, PA), September; 2005.

Bezzerrouki M, Bachir BB, Ouinas D. SIF for cracks repaired with single composite patch having two adhesive bands and double symmetric one in aircraft structures. Computational Materials Science. 2008;44:542-546.