PSI - Issue 28

Victor Rizov et al. / Procedia Structural Integrity 28 (2020) 1226–1236 Author name / Structural Integrity Procedia 00 (2019) 000–000

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fracture behaviour of the rod with internal crack is compared with that of a rod with circular notch in the external crack arm. It is found that the strain energy release rate in the rod without notch is lower than that in the rod with notch. It should be mentioned that the solution to the strain energy release rate for inhomogeneous non-linear elastic rod with internal longitudinal circular cylindrical crack obtained in the present paper can be developed further by incorporating various non-linear stress-strain relations and laws for distribution of material properties in radial direction. References Chikh, A., 2019. Investigations in static response and free vibration of a functionally graded beam resting on elastic foundations. Frattura ed Integrità Strutturale 14, 115-126. Erdogan, F., 1995. Fracture mechanics of functionally graded materials. Computational Engineering, 5, 753-770. Gasik, M.M., 2010. Functionally graded materials: bulk processing techniques. International Journal of Materials and Product Technology 39, 20 29. Hirai, T., Chen, L., 1999. Recent and prospective development of functionally graded materials in Japan. Mater Sci. Forum 308-311, 509-514. Kou, X.Y., Parks, G.T., Tan, S.T., 2012. Optimal design of functionally graded materials, using a procedural model and particle swarm optimization, Computer Aided Design 44, 300-310. Levashov, E.A., Larikin, D.V., Shtansky, D.V., Rogachev, A.S., Grigorian, H.E., Moore, J.J., 2002. Self-propagating high-temperature synthesis of functionally graded PVD targets with a ceramic working layer of TiB-TiN or TiSi-Tin. Journal of Materials Synthesis and Processing 10, 319-325. Lukash, P.A., 1998. Fundamentals of non-linear structural mechanics, M. Mahamood, R.M., Akinlabi, E.T., 2017. Functionally Graded Materials. Springer. Marae Djouda, J., Gallittelli , D., Zouaoui, M., Makke, A., Gardan , J., Recho, N., Crépin, J., 2019. Local scale fracture characterization of an advanced structured material manufactured by fused deposition modeling in 3D printing, Frattura ed Integrità Strutturale, 14, 534-540. Nagaral, M., Nayak, P. H., Srinivas, H. K., Auradi, V., 2019. Characterization and Tensile Fractography of Nano ZrO2 Reinforced Copper-Zinc Alloy Composites. Frattura ed Integrità Strutturale 13, 370-376. Nemat-Allal, M.M., Ata, M.H., Bayoumi, M.R,, Khair-Eldeen, W., 2011. Powder metallurgical fabrication and microstructural investigations of Aluminum/Steel functionally graded material. Materials Sciences and Applications, 2, 1708-1718. Rizov, V.I., 2017. Analysis of longitudinal cracked two-dimensional functionally graded beams exhibiting material non-linearity. Frattura ed Integrità Strutturale 41, 498-510. Rizov, V.I., 2018. Non-linear elastic analysis of delamination in two-dimensional functionally graded multilayered beams. Strength, Fracture and Complexity: an International Journal 11, 319-335. Rizov, V.I., 2019. Influence of material inhomogeneity and non-linear mechanical behaviour of the material on delamination in multilayered beams. Frattura ed Integrità Strutturale 47, 468-481. Saidi, H., Sahla, M., 2019. Vibration analysis of functionally graded plates with porosity composed of a mixture of Aluminum (Al) and Alumina (Al2O3) embedded in an elastic medium. Frattura ed Integrità Strutturale 13, 286-299. Saiyathibrahim, A., Subramaniyan, R., Dhanapl, P., 2016. Centrefugally cast functionally graded materials – review. International Conference on Systems, Science, Control, Communications, Engineering and Technology, 68-73. Shrikantha Rao, S., Gangadharan, K. V., 2014. Functionally graded composite materials: an overview. Procedia Materials Science 5, 1291-1299. Tilbrook, M. T,. Moon, R. J., Hoffman, M., 2005. Crack propagation in graded composites. Composite Science and Technology 65, 201-220.