Coupled systems mechanics

  • 제6권1호
  • /
  • Pages.97-111
  • /
  • 2017
  • /
  • 2234-2184(pISSN)
  • /
  • 2234-2192(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Non-linear analysis of dealamination fracture in functionally graded beams

  • Rizov, Victor I. (Department of Technical Mechanics, University of Architecture, Civil Engineering and Geodesy)
  • 투고 : 2016.08.28
  • 심사 : 2016.11.11
  • 발행 : 2017.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

The present paper reports an analytical study of delamination fracture in the Mixed Mode Flexure (MMF) functionally graded beam with considering the material non-linearity. The mechanical behavior of MMF beam is modeled by using a non-linear stress-strain relation. It is assumed that the material is functionally graded along the beam height. Fracture behavior is analyzed by the J-integral approach. Non-linear analytical solution is derived of the J-integral for a delamination located arbitrary along the beam height. The J-integral solution derived is verified by analyzing the strain energy release rate with considering the non-linear material behavior. The effects of material gradient, crack location along the beam height and material non-linearity on the fracture are evaluated. It is found that the J-integral value decreases with increasing the upper crack arm thickness. Concerning the influence of material gradient on the non-linear fracture, the analysis reveals that the J-integral value decreases with increasing the ratio of modulus of elasticity in the lower and upper edge of the beam. It is found also that non-linear material behavior leads to increase of the J-integral value. The present study contributes for the understanding of fracture in functionally graded beams that exhibit material non-linearity.

키워드

과제정보

연구 과제 주관 기관 : Research and Design Centre (CNIP)

참고문헌

  1. Anlas, G., Santare, M.H. and Lambros, J. (2000), "Numerical calculation of stress intensity factors in functionally graded materialsˮ, Int. J. Fract., 104(1), 131-143. https://doi.org/10.1023/A:1007652711735
  2. Bohidar, S.K., Sharma, R. and Mishra, P.R. (2014), "Functionally graded materials: a critical reviewˮ, Int. J. Res., 1(7), 289-301.
  3. Carpinteri, A. and Pugno, N. (2006), "Cracks in re-entrant corners in functionally graded materialsˮ, Eng. Fract. Mech., 73(6), 1279-1291. https://doi.org/10.1016/j.engfracmech.2006.01.008
  4. Chakrabarty, J. (2006), Theory of Plasticity, Elsevier Butterworth-Heinemann, Oxford.
  5. Gasik, M.M. (2010), "Functionally graded materials: Bulk processing techniquesˮ, Int. J. Mater. Prod. Technol., 39(1-2), 20-29. https://doi.org/10.1504/IJMPT.2010.034257
  6. Hirai, T. and Chen, L. (1999), "Recent and prospective development of functionally graded materials in Japanˮ, Mater. Sci. Forum, 308-311(4), 509-514. https://doi.org/10.4028/www.scientific.net/MSF.308-311.509
  7. Ivanov, I. and Draganov, I. (2014), "Influence and simulation of laminated glass subjected to low-velocity impactˮ, Mech. Mach., 110, 89-94.
  8. Ivanov, V., Velchev, D.S., Georgiev, N.G., Ivanov, I.D. and Sadowski, T. (2016), "A plate finite element for modelling of triplex laminated glass and comparison with other computational modelsˮ, Meccan., 51(2), 341-358. https://doi.org/10.1007/s11012-015-0275-0
  9. Ivanov, Y. and Stoyanov, V. (2012), "High technologies and new construction materials in civil engineeringˮ, Proceedings of the 1st International Conference of the European Polytechnical University, Pernik, Bulgaria, June.
  10. Koizumi, M. (1993), "The concept of FGM ceramic transˮ, Function. Grad. Mater., 34(1), 3-10.
  11. Lubliner, J. (2006), Plasticity Theory, Revised Edition, University of California, Berkeley, U.S.A.
  12. Lu, C.F., Lim, C.W. and Chen, W.Q. (2009), "Semi-analytical analysis for multi-dimensional functionally graded plates: 3-D elasticity solutionsˮ, Int. J. Num. Meth. Eng., 79(3), 25-44. https://doi.org/10.1002/nme.2555
  13. Markworth, A.J., Ramesh, K.S. and Parks, J.W.P. (1995), "Review: Modeling studies applied to functionally graded materialsˮ, J. Mater. Sci., 30(3), 2183-2193. https://doi.org/10.1007/BF01184560
  14. 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 materialˮ, Mater. Sci. Appl., 2(5), 1708-1718.
  15. Pei, G. and Asaro, R.J. (1997), "Cracks in functionally graded materialsˮ, Int. J. Sol. Struct., 34(1), 1-17. https://doi.org/10.1016/0020-7683(95)00289-8
  16. Petrov, V.V. (2014), Non-Linear Incremental Structural Mechanics, M.: Infra-Injeneria.
  17. Suresh, S. and Mortensen, A. (1998), Fundamentals of Functionally Graded Materials, IOM Communications Ltd., London, U.K.
  18. Szekrenyes, A. (2012), "J-integral for delaminated beam and plate modelsˮ, Period. Polytech. Mech. Eng., 56(1), 63-71. https://doi.org/10.3311/pp.me.2012-1.10
  19. Tilbrook, M.T., Moon, R.J. and Hoffman, M. (2005), "Crack propagation in graded compositesˮ, Compos. Sci. Technol., 65(2), 201-220. https://doi.org/10.1016/j.compscitech.2004.07.004
  20. Upadhyay, A.K. and Simha, K.R.Y. (2007), "Equivalent homogeneous variable depth beams for cracked FGM beams; compliance approachˮ, Int. J. Fract., 144(2), 209-213. https://doi.org/10.1007/s10704-007-9089-y
  21. Zhang, H., Li, X.F., Tang, G.J. and Shen, Z.B. (2013), "Stress intensity factors of double cantilever nanobeams via gradient elasticity theoryˮ, Eng. Fract. Mech., 105(1), 58-64. https://doi.org/10.1016/j.engfracmech.2013.03.005

피인용 문헌

  1. Non-linear longitudinal fracture in a functionally graded beam vol.7, pp.4, 2017, https://doi.org/10.12989/csm.2018.7.4.441
  2. Non-linear elastic analysis of delamination in two-dimensional functionally graded multilayered beams vol.11, pp.4, 2017, https://doi.org/10.3233/sfc-180233