PSI - Issue 41

Victor Rizov et al. / Procedia Structural Integrity 41 (2022) 103–114 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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release rate is verified by analyzing the strain energy in the beam. The effects of temperature, mechanical loading and material inhomogeneity on the strain energy release rate are investigated. It is found that when the temperature increases, the strain energy release rate increases too. Special attention is paid to the effect of the parameters, m and n , which describe the periodic variation of the temperature with time on the strain energy release rate. The analysis indicates that increase of m and n generates decrease of the strain energy release rate. The reason for this behaviour is the decrease of the time in which the temperature is equal to its maximum value. The influence of parameters,  and  , which govern the change of the external loading with time on the strain energy release rate is also studied. It is found the increase of  and  causes increase of the strain energy release rate. The calculations reveal also that the strain energy release rate reduces with increasing of   E E / and     1 1 / ratios. By Xiao Kuang, Jiangtao Wu, Kaijuan Chen, Zeang Zhao, Zhen Ding, Fengjingyang Hu, Daining Fang, H. Jerry Qi, 2019. Gray scale digital processing 3D printing for highly functionally graded materials. Science Advances, 5, 5790. Chikh, A., 2019. Investigations in static response and free vibration of a functionally graded beam resting on elastic founda tions. Frattura ed Integrità Strutturale 14, 115-126. 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. 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. Mehrali, M., Shirazi, F.S., Mehrali, M., Metselaar, H.S.C., Kadri, N.A.B., Osman, N.A.A., 2013. Dental implants fromfunctionally graded materials. J Biomed Mater Res Part 101A, 3046 – 305. Nagaral, M., Nayak, P. H., Srinivas, H. K., Auradi, V., 2019. Characterization and Tensile Fract ography of Nano ZrO2 Reinforced Copper-Zinc Alloy Composites. Frattura ed Integrità Strutturale 13, 370-376. Narisawa, I., 1987. Strength of Polymer Materials. Chemistry. 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. Analysis of cylindrical delamination cracks in multilayered functionally graded non-linear elastic circular shafts under combined loads, Frattura ed Integrità Strutturale 46, 158-17. 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. Rizov, V., Altenbach, H., 2020. Longitudinal fracture analysis of inhomogeneous beams with continuously varying sizes of the cross -section along the beam length, Frattura ed Integrità Strutturale 53, 38-50. Rizov, V., 2020. Inhomogeneous beam of linearly varying height under three-point bending: a longitudinal fracture analysis, Structural Integrity and Life 20, 137-142. Rizov, V.I, 2020. Longitudinal fracture analysis of continuously inhomogeneous beam in torsion with stress relaxation, Procedia Structural Integrity 28, 1212 – 1225. 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. Zhou, M.Y., Xi, J.T., Yan, J.Q., 2002. Modelling and processing for rapid prototyping. Journal of Materials Processing Technology 146, 396 402. References