Analysis of delamination in two-dimensional functionally graded multilayered beam with non-linear behaviour of material

• Autorzy: Rizov V. I.
• Języki publikacji: EN

Abstrakty

EN

An analytical study of delamination fracture in a two-dimensional functionally graded multilayered beam exhibiting material non-linearity is carried-out. The beam is made of adhesively bonded horizontal layers. The material is two-dimensional functionally graded in the cross-section of each layer. A delamination crack is located symmetrically with respect to the beam mid-span. The delamination is studied in terms of the strain energy release rate. The solution derived is compared with the J-integral for verification. The effects of material gradients, the crack location along the beam height and the material non-linearity on the delamination fracture are investigated. The distribution of the J-integral value along the crack front is analysed too.

Słowa kluczowe

EN

two-dimensional functionally graded material; multi-layered beam; delamination; material non-linearity; analytical solution

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2018
• Tom: Vol. 66, iss. 1
• Strony: 61--78
• Opis fizyczny: Bibliogr. 12 poz., rys., wykr.

Twórcy

autor

Rizov V. I.

• Department of Technical Mechanics University of Architecture, Civil Engineering and Geodesy 1 Chr. Smirnensky blvd., 1046 – Sofia, Bulgaria

Bibliografia

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• 3. Upadhyay A.K., Simha K.R.Y., Equivalent homogeneous variable depth beams for cracked FGM beams; compliance approach, International Journal of Fracture, 144(3): 209– 213, 2007.
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• 5. Rizov V.I., Analytical study of elastic-plastic longitudinal fracture in a functionally graded beam, Strength, Fracture and Complexity, 10(1): 11–22, 2017.
• 6. Rizov V.I., Delamination fracture in a functionally graded multilayered beam with material nonlinearity, Archive of Applied Mechanics, 87(6): 1037–1048, 2017.
• 7. Szekrenyes A., Nonsingular crack modelling in orthotropic plates by four equivalent single layers, European Journal of Mechanics – A/Solids, 55: 73–99, 2016.
• 8. 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(8): 721–724, 2009.
• 9. Lubliner J., Plasticity theory (Rev. Ed.), University of California, Berkeley, CA, 2006.
• 10. Petrov V.V., Non-linear incremental structural mechanics, Infra-Injeneria, M., 2014.
• 11. Hutchinson J.W., Suo Z., Mixed mode cracking in layered materials, Advances in Applied Mechanics, 29: 63–191, 1991.
• 12. Broek D., Elementary engineering fracture mechanics, Springer, 1986.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).