PSI - Issue 52

J.C. Wen et al. / Procedia Structural Integrity 52 (2024) 625–646

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Author name / Structural Integrity Procedia 00 (2019) 000 – 000

Dolbow, J.E., Gosz, M., 2002. On the computation of mixed-mode stress intensity factors in functionally graded materials[J]. International Journal of Solids and Structures, 39(9), 2557-2574. Kim, J.H., Paulino G.H., 2002. Finite element evaluation of mixed mode stress intensity factors in functionally graded materials[J]. International Journal for Numerical Methods in Engineering, 53(8), 1903-1935. Erdogan, F., 1995. Fracture mechanics of functionally graded materials. Composites Engineering, 5(7), 753-70. Lal, A., Markad, K., 2019. Stochastic mixed mode stress intensity factor of center cracks FGM plates using XFEM[J]. International Journal of Computational Materials Science and Engineering, 8(03), 1950009. Guo, L.C., Noda, N., 2008. Fracture mechanics analysis of functionally graded layered structures with a crack crossing the interface. Mechanics of Materials, 40(3), 81-99. Aliabadi, M.H., Rooke, D. P., 1991. Numerical fracture mechanics. Computational Mechanics Publications, Southampton. Walters, M.C., Paulino, G.H., Dodds Jr, R.H., 2004. Stress-intensity factors for surface cracks in functionally graded materials under mode-I thermomechanical loading[J]. International Journal of Solids and Structures, 41(3-4), 1081-1118. Li, J., Liu, J.Z., Korakianitis, T., Wen, P.H., 2017. Finite block method in fracture analysis with functionally graded materials[J]. Engineering Analysis with Boundary Elements, 82, 57-67. Zheng, H., Xiong, J.G, Yuan, Y., Wen, P.H., 2019. Mixed-mode dynamic stress intensity factors by variation technique with finite block method[J]. Engineering Analysis with Boundary Elements, 106, 27-33. Rooke, D.P., Cartwright, D.J., 1976. A Compendium of Stress Intensity Factors. HMSO, London. Zienkiewicz, O.C., 1971. The Finite Element Method. McGraw-Hill, New York. Aliabadi, M.H., 2002. The Boundary Element Method Vol2: Applications in Solids and Structures. John Wiley and Sons. Han, J.C., Wang, B.L., 2006. Thermal shock resistance enhancement of functionally graded materials by multiple cracking. Acta Materialia, 54(4), 963-973. Song, S.H., Paulino, G.H., 2006. Dynamic stress intensity factors for homogeneous and smoothly heterogeneous materials using the interaction integral method [J]. International Journal of Solids and Structures, 43, 4830-4866. Ayhan, A.O., 2009. Three-dimensional mixed-mode stress intensity factors for cracks in functionally graded materials using enriched finite elements. International Journal of Solids and Structures, 46(3 – 4), 796 – 810. Sladek, J., Sladek, V., Zhang, C., Wünsche, M., 2010. Crack analysis in piezoelectric solids with energetically consistent boundary conditions by the MLPG [J]. Computer Modeling in Engineering & Sciences, 68(2),185-219. Zhang, C., Cui, M., Wang, J., Gao, X.W., Sladek, J., Sladek,V., 2011. 3D crack analysis in functionally graded materials. Engineering Fracture Mechanics, 78(3), 585 – 604. Li, J., Sladek, J., Sladek, V., Wen, P.H., 2020. Hybrid meshless displacement discontinuity method (MDDM) in fracture mechanics: static and dynamic[J]. European Journal of Mechanics-A/Solids, 83, 104023. Zheng, H., Sladek, J., Sladek, V., Wang, S.K., Wen, P.H., 2021. Hybrid meshless/displacement discontinuity method for FGM Reissner's plate with cracks[J]. Applied Mathematical Modelling, 90, 1226-1244. Zheng, H., Sladek, J., Sladek, V., Wang, S.K., Wen, P.H., 2021. Fracture analysis of functionally graded material by hybrid meshless displacement discontinuity method[J]. Engineering Fracture Mechanics, 247, 107591. Tanaka, S., Nakatsuji, K., Wang, H., 2023. Extended wavelet Galerkin method for mixed-mode cracked FGM plate under static and dynamic loads. Theoretical and Applied Fracture Mechanics, 125, 103909. Wen, P.H., Cao, P., Korakianitis, T., 2014. Finite Block Method in elasticity. Engineering Analysis with Boundary Elements 2014; 46: 116-125. Li, M., Wen, PH., 2014. Finite block method for transient heat conduction analysis in functionally graded media. International Journal for Numerical Methods in Engineering, 99(5), 372-390. Li, M., Lei, M., Munjiza, A., Wen, P.H., 2015. Frictional contact analysis of functionally graded materials with Lagrange finite block method. International Journal for Numerical Methods in Engineering, 103(6), 391-412. Li, M., Meng, L.X., Hinneh, P., Wen, P.H., 2016. Finite block method for interface cracks. Engineering Fracture Mechanics, 156, 25-40. Durbin, F., 1975. Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate's method. The Computer Journal, 17, 371-376. Rivlin, J., Theodore, 1974. The Chebyshev Polynomials. Pure and Applied Mathematics (1st ed.). New York-London-Sydney: John Wiley & Sons. Chen, Y.M., 1975. Numerical computation of dynamic stress intensity factors by a Lagrangian finite-difference method (the HEMP CODE). Engineering Fracture Mechanics, 7, 653-660.