A Three Dimensional Fracture Analysis of an Edge Crack in FGM Using XFEM

Abstract:

The investigation of static crack and its growth is essential issue as to confirm reliability and to avoid catastrophic consequences which leads to the loss of life in case of engines, reactors, aerospace other industrial applications since most of the failures start from the crack. In this study, an edge crack in 3D elastic functionally graded material (FGM) is solved by extended finite element method (XFEM). Linear elastic fracture mechanics (LEFM) theory is used to determine the stresses near the crack front. Stress intensity factor (SIF) is calculated using interaction integral at the crack front.

• Periodical: Materials Science Forum (Volume 969)
• Pages: 315-320
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.969.315
• Online since: August 2019
• Authors: Vaibhav Sonkar*, Somnath Bhattacharya, Kamal Sharma
• Keywords: 3D Crack, FGM, Fracture Mechanics, Interaction Integral, SIF, XFEM

References

[1] R. S. Parihar, S. G. Setti, and R. K. Sahu, Recent advances in the manufacturing processes of functionally graded materials: a review,, Sci. Eng. Compos. Mater., vol. 0, no. 0, (2016).

[2] N. Moes, J. Dolbow, and T. Belytschko, A finite element method for crack growth without remeshing,, Int. J. Numer. Meth. Engng. 46, vol. 150, no. February, p.131–150, (1999).

DOI: 10.1002/(sici)1097-0207(19990910)46:1<131::aid-nme726>3.0.co;2-j

[3] N. Sukumar, N. Moes, B. Moran, and T. Belytschko, Extended finite element method for three-dimensional crack modelling,, Int. J. Numer. Meth. Engng, no. November 2000, p.1549–1570, (2000).

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

[4] S. Bhattacharya, I. V. Singh, and B. K. Mishra, Mixed-mode fatigue crack growth analysis of functionally graded materials by XFEM,, Int. J. Fract. vol. 183: p.81–97, (2013).

DOI: 10.1007/s10704-013-9877-5

[5] S. Bhattacharya, I. V. Singh, and B. K. Mishra, Fatigue-life estimation of functionally graded materials using XFEM,, Engineering with computers,vol. 23, p.427–448, (2013).

DOI: 10.1007/s00366-012-0261-2

[6] S. Bhattacharya, I. V. Singh, and 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

[7] S. Bhattacharya, I. V. Singh, and B. K. Mishra, International journal of mechanical sciences fatigue life simulation of functionally graded materials under cyclic thermal load using XFEM,, Int. J. Mech. Sci., vol. 82, p.41–59, (2014).

DOI: 10.1016/j.ijmecsci.2014.03.005

[8] S. Bhattacharya and K. Sharma, Fatigue crack growth simulations of FGM plate under cyclic thermal load by XFEM,, Procedia Eng., vol. 86, p.727–731, (2014).

DOI: 10.1016/j.proeng.2014.11.091

[9] K. Sharma, S. Bhattacharya, and V. Sonkar, XFEM simulation on mixed-mode fatigue crack growth of functionally graded materials,, J. Mech. Eng. Biomech., vol. 1, no. 1, p.46–55, (2016).

[10] S. Bhattacharya, K. Sharma, and V. Sonkar, Numerical simulation of elastic plastic fatigue crack growth in functionally graded material using XFEM,, Mech. Adv. Mater. Struct., vol. 6494, no. February 2017, p.1–14, (2016).

DOI: 10.1080/15376494.2016.1227511

[11] M. Pant, K. Sharma, and S. Bhattacharya, Application of EFGM and XFEM for fatigue crack growth analysis of functionally graded materials,, Procedia Eng., vol. 173, p.1231–1238, (2017).

DOI: 10.1016/j.proeng.2016.12.135

[12] 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