Extended Finite Element Simulation of Axial Semi Elliptical Surface Crack in Bi-Material Pipe

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Fracture analysis of crack is very essential to ensure the reliability and avoid the catastrophic failure of engineering components and structures since most of the failures start from the crack which leads to loss of life and economy. In the present study, extended finite element method (XFEM) is used to simulate the axial surface crack in bi-material pipe. Bi-material consists of two dissimilar materials with distinct properties. In this study, bi-material pipe consists of inner pipe made of steel alloy and outer pipe made of ceramic. An axial semi elliptical part through crack at different location is used for 3D linear elastic fracture mechanics (LEFM) analysis of bi-material pipe. Bi-material pipe is subjected to internal pressure and stress intensity factor (SIF) is computed at different location of crack front of semi elliptical surface crack using virtual domain extension approach.

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93-98

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September 2024

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© 2024 Trans Tech Publications Ltd. All Rights Reserved

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[1] N. Moes, J. Dolbow, and T. Belytschko, "A finite element method for crack growth without remeshing," Int. J. Numer. Methods Eng., vol. 46, no. February, p.131–150, 1999.

DOI: 10.1002/(sici)1097-0207(19990910)46:1<131::aid-nme726>3.3.co;2-a

Google Scholar

[2] N. Sukumar, N. Moes, B. Moran, and T. Belytschko, "Extended finite element method for three-dimensional crack modelling," Int. J. Numer. Methods Eng., vol. 46, no. November 1999, p.1549–1570, 2000.

DOI: 10.1002/1097-0207(20000820)48:11<1549::aid-nme955>3.0.co;2-a

Google Scholar

[3] V. Sonkar, S. Bhattacharya, and K. Sharma, "A Three Dimensional Fracture Analysis of an Edge Crack in FGM Using XFEM," Mater. Sci. Forum, vol. 969, p.315–320, 2019.

DOI: 10.4028/www.scientific.net/MSF.969.315

Google Scholar

[4] V. Sonkar, S. Bhattacharya, and K. Sharma, "Simulation of edge cracked 3D functionally graded domain using XFEM," AIP Conf. Proc., vol. 2273, no. 1, p.50017, 2020.

DOI: 10.1063/5.0024379

Google Scholar

[5] V. Sonkar, S. Bhattacharya, and K. Sharma, "XFEM Simulation of an Edge Cracked 3D Functionally Graded Cuboid," AIP Conf. Proc., vol. 2220, no. 1, p.140001, 2020.

DOI: 10.1063/5.0001785

Google Scholar

[6] V. Sonkar, S. Bhattacharya, and K. Sharma, "Numerical Simulation of Three Dimensional Fracture Mechanics Problems of Functionally Graded Pipe and Pipe Bend Using XFEM," Iran. J. Sci. Technol. Trans. Mech. Eng., vol. 46, no. 4, p.1031–1045, 2022.

DOI: 10.1007/s40997-021-00470-0

Google Scholar

[7] V. Sonkar, S. Bhattacharya, and K. Sharma, "Three dimensional extended finite element simulation of cracked functionally graded pipe and pipe bend," Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci., vol. 236, no. 16, p.9124–9137, 2022.

DOI: 10.1177/09544062221091522

Google Scholar

[8] T. Nagashima, Y. Omoto, and S. Tani, "Stress intensity factor analysis of interface cracks using X-FEM," Int. J. Numer. Methods Eng., vol. 56, no. 8, p.1151–1173, 2003.

DOI: 10.1002/nme.604

Google Scholar

[9] N. Sukumar, Z. Y. Huang, J. Prévost, and Z. Suo, "Partition of unity enrichment for bimaterial interface cracks," Int. J. Numer. Methods Eng., vol. 59, no. 8, p.1075–1102, 2004.

DOI: 10.1002/nme.902

Google Scholar

[10] H. Yu, L. Wu, L. Guo, Q. He, and S. Du, "Interaction integral method for the interfacial fracture problems of two nonhomogeneous materials," Mech. Mater., vol. 42, no. 4, p.435–450, 2010.

DOI: 10.1016/j.mechmat.2010.01.001

Google Scholar

[11] S. Bhattacharya, I. V Singh, B. K. Mishra, and T. Q. Bui, "Fatigue crack growth simulations of interfacial cracks in bi-layered FGMs using XFEM," Comput. Mech., vol. 52, p.799–814, 2013.

DOI: 10.1007/s00466-013-0845-8

Google Scholar

[12] H. Pathak, A. Singh, I. V. Singh, and S. K. Yadav, "A simple and efficient XFEM approach for 3-D cracks simulations," Int. J. Fract., vol. 181, no. 2, p.189–208, 2013.

DOI: 10.1007/s10704-013-9835-2

Google Scholar

[13] M. Gosz, J. Dolbow, and B. Moran, "Domain integral formulation for stress intensity factor computation along curved three-dimensional interface," Int. J. Solids Struct., vol. 35, no. 15, p.1763–1783, 1998.

DOI: 10.1016/S0020-7683(97)00132-7

Google Scholar

[14] B. N. Rao and S. Rahman, "An interaction integral method for analysis of cracks in orthotropic functionally graded materials," Comput. Mech., vol. 32, p.40–51, 2003.

DOI: 10.1007/s00466-003-0460-1

Google Scholar