Nonlinear delamination analysis of mulyilayered functionally graded circular shafts in torsion. (English. Russian original) Zbl 1458.74131

J. Appl. Mech. Tech. Phys. 59, No. 6, 1104-1110 (2018); translation from Prikl. Mekh. Tekh. Fiz. 59, No. 6, 165-173 (2018).
Summary: Cylindrical delamination in a multilayered functionally graded circular shaft loaded in torsion is analyzed assuming a nonlinear mechanical behaviour of the material by using the Ramberg-Osgood equation. The shaft is made of an arbitrary number of adhesively bonded concentric layers of different thicknesses and material properties. In each layer, the material is functionally graded in both radial and longitudinal directions. A solution for the strain energy release rate is derived by analyzing the energy balance. The solution is used to perform parametric investigations of the delamination behaviour.


74R99 Fracture and damage
74E30 Composite and mixture properties
74E05 Inhomogeneity in solid mechanics
Full Text: DOI


[1] Nemat-Allal, M. M.; Ata, M. H.; Bayoumi, M. R.; Khair-Eldeen, W., Powder Metallurgical Fabrication and Microstructural Investigations of Aluminum/Steel Functionally Graded Material, Materials Sci. Appl., 2, 1708-1718, (2011)
[2] Bohidar, S. K.; Sharma, R.; Mishra, P. R., Functionally Graded Materials: A Critical Review, Int. J. Res., 1, 289-301, (2014)
[3] Uslu Uysal, M., Buckling Behaviors of Functionally Graded Polymeric Thin-Walled Hemispherical Shells, Steel Composite Structures. Int. J., 21, 849-862, (2016)
[4] Guadette, F. G.; Giannapoulos, A. E.; Suresh, S., Interfacial Cracks in Layered Materials Subjected to a Uniform Temperature Change, Int. J. Fracture, 28, 5620-5629, (2001)
[5] Narin, J. A., On the Calculation of Energy Release Rates for Cracked Laminates with Residual Stresses, Int. J. Fracture, 139, 267-293, (2006) · Zbl 1197.74119
[6] Hsueh, C. H.; Tuan, W. H.; Wei, W. C. J., Analyses of Steady-State Interface Fracture of Elastic Multilayered Beams under Four-Point Bending, Scripta Materialia, 60, 721-724, (2009)
[7] Szekrenyes, A., Fracture Analysis in the Modified Split-Cantilever Beam using the Classical Theories of Strength of Materials, J. Phys.: Conf. Ser., 240, 012030, (2010)
[8] Rizov, V. I., Elastic-Plastic Fracture of Functionally Graded Circular Shafts in Torsion, Adv. Materials Res., 5, 299-318, (2016)
[9] Rizov, V. I., Delamination Analysis of a Layered Elastic-Plastic Beam, Int. J. Structur. Integrity, 4, 516-529, (2017)
[10] Rizov, V. I., Delamination in a Two-Dimensional Functionally Graded Beam, Prikl. Mekh. Tekh. Fiz., 59, 171-177, (2018)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.