Finite Element Analysis of Creep Crack Initiation in Functionally Graded Materials with Crack Parallel to the Gradient

Authors

  • Huan Sheng Lai Sun Yat-sen University, Zhuhai 519082, China
  • Chunmei Bai Sun Yat-sen University, Zhuhai 519082, China
  • Kang Lin Liu Fuzhou University, Fujian 350116, China

DOI:

https://doi.org/10.15377/2409-9821.2019.06.3

Keywords:

FGM, creep damage, creep crack initiation, functionally graded material.level.

Abstract

 With the advances in material synthesis technologies, functionally graded materials (FGMs) are developed to use in high temperature structurals due to the excellent high temperature mechanical properties. To facilitate wide use of FGMs in high temperature structures, finite element method (FEM) was used in this paper to investigate effects of creep resistant properties gradients on creep crack initiation (CCI) in FGMs, with crack parallel to the gradient. Results indicated that when creep resistant properties increased in the crack growth direction, CCI was retarded by creep properties gradients. However, CCI was accelerated by creep properties gradients when creep resistant properties decreased in the crack growth direction. CCI position occurred in the two symmetric slanted planes of the initial crack, regardless of the gradient variation of creep resistant properties.

Author Biographies

Huan Sheng Lai, Sun Yat-sen University, Zhuhai 519082, China

Sino-French Institute of Nuclear Engineering and Technology

Chunmei Bai, Sun Yat-sen University, Zhuhai 519082, China

School of Civil Engineering

Kang Lin Liu, Fuzhou University, Fujian 350116, China

School of Chemical Engineering

References

D.K. Jha, T. Kant, R.K. Sing, A critical review of recent research on functionally graded plates, Compos. Struct. 96 (2013) 833-849. https://doi.org/10.1016/j.compstruct.2012.09.001

J. Li, B.L. Zheng, Q. Yang, X.J. Hu, Analysis on timedependent behavior of laminated functionally graded beams with viscoelastic interlayer, Compos. Struct. 107 (2014) 30-35. https://doi.org/10.1016/j.compstruct.2013.07.047

Gottron J, Harries KA, Xu Q. Creep behavior of bamboo, Constr. Build Mater. 66 (2014): 79-88. https://doi.org/10.1016/j.conbuildmat.2014.05.024

S.B. Singh, S. Ray, Creep analysis in an isotropic FGM rotating disc of Al-Sic composite, J. Mater. Process. Tech. 143-144 (2003) 616-622. https://doi.org/10.1016/S0924-0136(03)00445-X

V.K. Gupta, S.B. Singh, H.N. Chandrawat, S. Ray, Creep behavior of a rotating functionally graded composite disc operating under thermal gradient, Metall. Mater. Trans. A 35(4) (2004) 1381-1391. https://doi.org/10.1007/s11661-004-0313-3

D. Deepak, V.K. Gupta, A.K. Dham, Creep modeling in functionally graded rotating disc of variable thickness, J. Mech. Sci. Technol. 24(11) (2010) 2221-2232. https://doi.org/10.1007/s12206-010-0817-2

S.K. Mangal, N. Kapoor, T. Singh, Steady-state creep analysis of functionally graded rotating cylinder, Strain 49 (2013) 457-466. https://doi.org/10.1111/str.12052

T. Singh, V.K. Gupta, Modeling steady state creep in functionally graded thick cylinder subjected internal pressure, J. Compos. Mater. 44(11) (2010) 1317-1333. https://doi.org/10.1177/0021998309353214

Y.Y. Yang, Time-dependent stress analysis in functionally graded materials, Int. J. Solids Struct. 37 (2007) 7593-7608. https://doi.org/10.1016/S0020-7683(99)00310-8

L.H. You, H. Ou, Z.Y. Zheng, Creep deformations and stresses in thick-walled cylindrical vessels of functionally graded materials subjected to internal pressure, Compos. Struct. 78 (2007) 285-291. https://doi.org/10.1016/j.compstruct.2005.10.002

S.M.A. Aleayoub, A. Loghman, Creep stress redistribution analysis of thick-walled FGM spheres, J. Solid. Mech. 2(2) (2010) 115-128.

J.J. Chen, S.T. Tu, F.Z. Xuan, Z.D. Wang, Creep analysis for a functionally graded cylinder subjected to internal and external pressure, J. Strain. Anal. Eng. 42 (2007) 69-77. https://doi.org/10.1243/03093247JSA237

A. Loghman, S.A.M. Aleayoub, S.M. Hasani, Timedependent magnetothermoelastic creep Modeling of FGM spheres using method of successive elastic solution, Appl. Math. Model. 36 (2012) 836-845. https://doi.org/10.1016/j.apm.2011.07.038

M.D. Kashkoli, M.Z. Nejad, Time-dependent thermos-elastic creep analysis of thick-walled spherical pressure vessels made of functionally graded materials, J. Theor. App. Mechpol. 53(4) (2015) 1053-1065. https://doi.org/10.15632/jtam-pl.53.4.1053

H.L. Dai, H.J. Jiang, L. Yang, Time-dependent behaviors of a FGPM hollow sphere under the coupling of multi-fields, Solid State Sci. 14 (2012) 587-597. https://doi.org/10.1016/j.solidstatesciences.2012.02.011

J.J. Chen, S.T. Tu, Creep fracture parameters of functionally graded coating, J. Chin. Inst. Eng. 27(6) (2004) 805-812. https://doi.org/10.1080/02533839.2004.9670931

F.Z. Xuan, Z.F. Wang, S.T. Tu, Creep finite element simulation of multilayered system with interfacial cracks, Mater. Design. 30 (2009) 563-569. https://doi.org/10.1016/j.matdes.2008.05.067

H.S. Lai, Estimation of Ct of functionally graded materials under small scale creep stage, Compos. Struct. 138 (2016) 352-360. https://doi.org/10.1016/j.compstruct.2015.11.070

H.S. Lai, K.B. Yoon, Estimation of C(t) and the creep crack tip stress field of functionally graded materials and verification via finite element analysis, Compos. Struct. 153 (2016) 728-737. https://doi.org/10.1016/j.compstruct.2016.07.004

S. Yu, W. Dong, F.M. Xu, M.B. Fu, Y. Tan, Effects of heat treatment on the creep crack growth behavior in Al/Al- 4wt%Cu functionally graded material, Adv. Mater. Res. 711 (2013) 81-86. https://doi.org/10.4028/www.scientific.net/AMR.711.81

P. Gu, M. Dao, R.J. Asaro, A simplified method for calculating the crack-tip field of functionally graded materials using the domain integral, J. Appl. Mech-T. ASME 68 (1999) 101-108. https://doi.org/10.1115/1.2789135

Z.H. Jin, N. Noda, Crack-tip singular fields in nonhomogeneous materials, J. Appl. Mech-T. ASME 61 (1994) 738-740. https://doi.org/10.1115/1.2901529

Z.H. Jin, R.C. Batra, Some basic fracture mechanics concepts in functionally graded materials, J. Mech. Phys. Solids 44(8) (1996) 1221-1235. https://doi.org/10.1016/0022-5096(96)00041-5

P. Shanmugavel, G.B. Bhaskar, M. Chandrasekaran, An overview of fracture analysis in functionally graded materials, Eur. J. Sci. Res. 68(3) (2012) 412-439.

C.E. Rousseau, H.V. Tippur, Influence of elastic variations on crack initiation in functionally graded glass-filled epoxy, Eng. Fract. Mech. 69 (2002) 1679-1693. https://doi.org/10.1016/S0013-7944(02)00056-5

C. Comi, S. Mariani, Extended finite element simulation of quasi-brittle fracture in functionally graded materials, Comput. Method. Appl. M. 196 (2007) 4013-4026. https://doi.org/10.1016/j.cma.2007.02.014

M. Fulland, M. Steigemann, H.A. Richard, M. Specovius- Neugebauer, Development of stress intensities for crack in FGMs with orientation perpendicular and parallel to the gradation, Eng. Fract. Mech. 95 (2012) 37-44. https://doi.org/10.1016/j.engfracmech.2011.12.005

M. Yatomi, K.M. Nikbin, N.P. O’Dowd, Creep crack growth prediction using a damage based approach, Int. J. Pres. Ves. Pip. 80 (2003) 573-583. https://doi.org/10.1016/S0308-0161(03)00110-8

A.C.F. Cocks, M.F. Ashby, Intergranular fracture during power-law creep under multiaxial stress, Metal. Sci. 14 (1980) 395-402. https://doi.org/10.1179/030634580790441187

M. Yatomi, Factors affecting the failure of cracked components at elevated temperature [PhD thesis

L. Zhao, H. Jing, Y. Han, J. Xiu, L. Xu, Prediction of creep crack growth behavior in ASME P92 steel welded joint, Comp. Mater. Sci. 61 (2012) 185-193. https://doi.org/10.1016/j.commatsci.2012.04.028

Z.Q. Wang, T. Nakamura, Simulations of crack propagation in elastic-plastic graded materials, Mech. Mater. 36 (2004) 601-622. https://doi.org/10.1016/S0167-6636(03)00079-6

Z.Y. Zhang, G.H. Paulino, Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials, Int. J. Plasticity. 21 (2005) 1195-1254. https://doi.org/10.1016/j.ijplas.2004.06.009

C.S. Oh, N.H. Kin, Y.J. Kim, C. Davies, K. Nikbin, D. Dean, Creep failure simulations of 316H at 550 °C: Part I – A method and validation, Eng. Fract. Eech. 78 (2011) 2966-2977. https://doi.org/10.1016/j.engfracmech.2011.08.015

N.H. Kim, C.S. Oh, Y.J. Kim, C. Davies, K. Nikbin, D. Dean, Creep failure simulations of 316H at 550 °C: Part II – Effects of specimen geometry and loading mode, Eng. Fract. Mech. 105 (2013) 169-81. https://doi.org/10.1016/j.engfracmech.2013.04.001

M. Tabuchi, H. Hongo, T. Watanabe, A.T. Yokobori Jr, Creep crack growth analysis of welded joints for high Cr heat resisting steel, ASTM STP1480 1480 (2008) 93-101.

K.J. Hsia, A.S. Argon, D.M. Parks, Modeling of creep damage evolution around blunt notches and sharp cracks, Mech. Mater. 11 (1991) 19-42. https://doi.org/10.1016/0167-6636(91)90037-Z

J.R. Rice, M.A. Johnson, The role of large crack tip geometry changes in plane strain fracture, In: Inelastic behavior of Solids, New York; (1970) 641-672.

B. Ozmat, A.S. Argon, D.M. Parks, Growth modes of cracks in creeping type 304 stainless steel, Mech. Mater. 11 (1991) 1-17. https://doi.org/10.1016/0167-6636(91)90036-Y

Y. Luo, W.C. Jiang, Z.Y. Zhang, Y.C. Zhang, W. Woo, S.T. Tu, Notch effect on creep damage for Hastelloy C276-BNi2 brazing joint, Mater. Design. 84 (2015) 212-222. https://doi.org/10.1016/j.matdes.2015.06.111

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Published

2019-10-18

How to Cite

1.
Huan Sheng Lai, Chunmei Bai, Kang Lin Liu. Finite Element Analysis of Creep Crack Initiation in Functionally Graded Materials with Crack Parallel to the Gradient. Int. J. Archit. Eng. Technol. [Internet]. 2019Oct.18 [cited 2021Sep.25];6(1):17-23. Available from: https://www.avantipublishers.com/jms/index.php/ijaet/article/view/801

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