Engineering Transactions, 65, 3, pp. 483–498, 2017
10.24423/engtrans.768.2017

Delamination Fracture Analyses of Linear-Elastic Functionally Graded Beams

Victor Iliev RIZOV
University of Architecture, Civil Engineering and Geodesy
Bulgaria

An analytical approach for investigation of delamination cracks in three-dimensional functionally graded linear-elastic beams was developed. Beams which are functionally graded along their width, height and length were analyzed. The fracture was studied in terms of the strain energy release rate. Beams loaded by a combination of bending moments and an axial force were considered. The approach was applied to determine the strain energy release rate for a delamination crack in a functionally graded beam of rectangular cross-section loaded in eccentric tension. An additional analysis was performed by using the beam strain energy for verification. The effects of material gradient and crack length on the delamination were evaluated.
Keywords: functionally graded beam; fracture; analytical approach
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

Szekrenyes A., Semi-layerwise analysis of laminated plates with nonsingular delamination – The theorem of autocontinuity, Applied Mathematical Modelling, 40(2): 1344–1371, 2016.

Szekrenyes A., Nonsingular crack modelling in orthotropic plates by four equivalent single layers, European Journal of Mechanics – A/Solids, 55(2): 73–99, 2016.

Tkacheva L.A., Unsteady crack propagation in the beam approximation, Applied Mechanics and Technical Physics, 49(4): 177–189, 2008.

Bohidar S.K., Sharma R., Mishra P.R., Functionally graded materials: A critical review, International Journal of Research, 1(4): 289–301, 2014.

Erdogan F., Fracture mechanics of functionally graded materials, Comp. Eng., 5(2): 753–770, 1995.

Paulino G.C., Fracture in functionally graded materials, Engng. Fract. Mech., 69(3): 1519–1530, 2002.

Tilbrook M.T., Moon R.J., Hoffman M., Crack propagation in graded composites, Composite Science and Technology, 65(1): 201–220, 2005.

Carpinteri A., Pugno N., Cracks in re-entrant corners in functionally graded materials, Engineering Fracture Mechanics, 73(1): 1279–1291, 2006.

Upadhyay A.K., Simha K.R.Y., Equivalent homogeneous variable depth beams for cracked FGM beams; compliance approach, Int. J. Fract., 144(4): 209–213, 2007.

Shi-Dong Pan, Ji-Cai Feng, Zhen-Gong Zhou, Wu-Lin-Zhi, Four parallel nonsymetric Mode – III cracks with different lengths in a functionally graded material plane, Strength, Fracture and Complexity: an International Journal, 5(3): 143–166, 2009.

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(2): 721–724, 2009.

Korn G., Korn T., Mathematical handbook for scientists and engineers [in Russian], Nauka, Moscow, 1970.

Hutchinson J.W., Suo Z., Mixed mode cracking in layered materials, Advances in Applied Mechanic, 64(2): 804–810, 1992.

Dowling N., Mechanical Behavior of Materials, Pearson, 2007.

Parton V.Z., Fracture mechanics: from theory towards practice [in Russian], Nauka, Moscow, 1990.




DOI: 10.24423/engtrans.768.2017