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http://dx.doi.org/10.12989/csm.2019.8.5.377

On the analysis of delamination in multilayered inhomogeneous rods under torsion  

Rizov, Victor I. (Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy)
Publication Information
Coupled systems mechanics / v.8, no.5, 2019 , pp. 377-391 More about this Journal
Abstract
The present paper is focused on analyzing the delamination of inhomogeneous multilayered rods of circular cross-section loaded in torsion. The rods are made of concentric longitudinal layers of individual thickness and material properties. A delamination crack is located arbitrary between layers. Thus, the internal and external crack arms have circular and ring-shaped cross-sections, respectively. The layers exhibit continuous material inhomogeneity in radial direction. Besides, the material has non-linear elastic behavior. The delamination is analyzed in terms of the strain energy release rate. General solution to the strain energy release rate is derived by considering the energy balance. The solution is applied to analyze the delamination of cantilever rod. For verification, the strain energy release rate is derived also by considering the complementary strain energy.
Keywords
multilayered rod; torsion; delamination; material non-linearity; inhomogeneous material;
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Times Cited By KSCI : 2  (Citation Analysis)
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1 Carpinteri, A. and Pugno, N. (2006), "Cracks in re-entrant corners in functionally graded materials", Eng. Fract. Mech., 73(6), 1279-1291. https://doi.org/10.1016/j.engfracmech.2006.01.008.   DOI
2 Dolgov, N.A. (2005), "Determination of stresses in a two-layer coating", Strength Mater., 37(2), 422-431. https://doi.org/10.1007/s11223-005-0053-7.   DOI
3 Dolgov, N.A. (2016), "Analytical methods to determine the stress state in the substrate-coating system under mechanical loads", Strength Mater., 48(1), 658-667. https://doi.org/10.1007/s11223-016-9809-5.   DOI
4 Erdogan, F. (1995), "Fracture mechanics of functionally graded materials", Comput. Eng., 5(1), 753-770. https://doi.org/10.1016/0961-9526(95)00029-M.
5 Gasik, M.M. (2010), "Functionally graded materials: bulk processing techniques", Int. J. Mater. Prod. Technol., 39(1-2), 20-29. https://doi.org/10.1504/IJMPT.2010.034257.   DOI
6 Han, X., Xu, Y.G. and Lam, K.Y. (2001), "Material characterization of functionally graded material by means of elastic waves and a progressive-learning neural network", Compos. Sci. Technol., 61(10), 1401-1411. https://doi.org/10.1016/S0266-3538(01)00033-1.   DOI
7 Hedia, H.S., Aldousari, S.M., Abdellatif, A.K. and Fouda, N.A. (2014), "New design of cemented stem using functionally graded materials (FGM)", Biomed. Mater. Eng., 24(3), 1575-1588. https://doi.org/10.3233/BME-140962.
8 Markworth, A.J., Ramesh, K.S. and Parks Jr., W.P. (1995), "Review: modeling studies applied to functionally graded materials", J. Mater. Sci., 30(3), 2183-2193. https://doi.org/10.1007/BF01184560.   DOI
9 Kawasaki, A. and Watanabe, R. (1997), "Concept and P/M fabrication of functionally gradient materials", Ceramics Int., 23(1), 73-83. https://doi.org/10.1016/0272-8842(95)00143-3.   DOI
10 Mahamood, R.M. and Akinlabi, E.T. (2017), Functionally Graded Materials, Springer.
11 Miyamoto, Y., Kaysser, W.A., Rabin, B.H., Kawasaki, A. and Ford, R.G. (1999), Functionally Graded Materials: Design, Processing and Applications, Kluwer Academic Publishers.
12 Nemat-Allal, M.M., Ata, M.H., Bayoumi, M.R. and Khair-Eldeen, W. (2011), "Powder metallurgical fabrication and microstructural investigations of Aluminum/Steel functionally graded material", Mater. Sci. Appl., 2(5), 1708-1718. https://doi.org/10.4236/msa.2011.212228.
13 Petrov, V.V. (2014), Non-linear Incremental Structural Mechanics, M.: Infra-Injeneria.
14 Rizov, V. I. (2018a), "Non-linear longitudinal fracture in a functionally graded beam", Coupled Syst. Mech., 7(4), 441-453. https://doi.org/10.12989/csm.2018.7.4.441.   DOI
15 Rizov, V.I. (2018b), "Non-linear fracture in bi-directional graded shafts in torsion", Multidiscip. Model. Mater. Struct., 15(1), 156-169. https://doi.org/10.1108/MMMS-12-2017-0163.   DOI
16 Rizov, V.I. (2019), "Influence of sine material gradients on delamination in multilayered beams", Coupled Syst. Mech., 8(1), 1-17. https://doi.org/10.12989/csm.2019.8.1.001.   DOI
17 Tilbrook, M.T., Moon, R.J. and Hoffman, M. (2005), "Crack propagation in graded composites", Compos. Sci. Technol., 65(2), 201-220. https://doi.org/10.1016/j.compscitech.2004.07.004.   DOI
18 Hirai, T. and Chen, L. (1999), "Recent and prospective development of functionally graded materials in Japan", Mater. Sci. Forum, 308-311(4), 509-514. https://doi.org/10.4028/www.scientific.net/MSF.308-311.509.   DOI
19 Saiyathibrahim, A., Subramaniyan, R. and Dhanapl, P. (2016), "Centrefugally cast functionally graded materials-review", Proceedings of the International Conference on Systems, Science, Control, Communications, Engineering and Technology.
20 Shrikantha Rao, S. and Gangadharan, K.V. (2014), "Functionally graded composite materials: an overview", Procedia Mater. Sci., 5(1), 1291-1299. https://doi.org/10.1016/j.mspro.2014.07.442.   DOI
21 Tokovyy, Y. and Ma, C.C. (2008), "Analysis of 2D non-axisymmetric elasticity and thermoelasticity problems for radially inhomogeneous hollow cylinders", J. Eng. Math., 61(3), 171-184. https://doi.org/10.1007/s10665-007-9154-6.   DOI
22 Tokovyy, Y. and Ma, C.C. (2013), "Three-dimensional temperature and thermal stress analysis of an inhomogeneous layer", J. Therm. Stresses, 36(2), 790-808. https://doi.org/10.1080/01495739.2013.787853.   DOI
23 Tokova, L., Yasinskyy, A. and Ma, C.C. (2017), "Effect of the layer inhomogeneity on the distribution of stresses and displacements in an elastic multilayer cylinder", Acta Mechanica, 228(8), 2856-2877. https://doi.org/10.1007/s00707-015-1519-8.
24 Tokovyy, Y. and Ma, C.C. (2016), "Axisymmetric stresses in an elastic radially inhomogeneous cylinder under length-varying loadings", ASME J. Appl. Mech., 83(11), 111-007-111-007-7. https://doi.org/10.1115/1.4034459.