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T. Hirai, Leng Chen (1999)
Recent and Prospective Development of Functionally Graded Materials in JapanMaterials Science Forum, 308-311
C. Tang, C. Tsui, L. Wei, Wang Zewu (2011)
Damage analysis on a graded porous biocomposite structure under flexural load using FEMStrength, fracture and complexity, 7
S. Bohidar, Ritesh Sharma, P. Mishra (2014)
Functionally Graded Materials: A Critical ReviewInternational Journal of Research, 1
Neubrand (1997)
Gradient materials: An overview of a novel conceptZeit f Met, 88
S. Pan, Jicai Feng, Zhou Zhengong, Lin-zhi Wu (2009)
Four parallel non-symmetric Mode-III cracks with different lengths in a functionally graded material planeStrength, fracture and complexity, 5
H. Zhang, Xian‐Fang Li, G. Tang, Zhibin Shen (2013)
Stress intensity factors of double cantilever nanobeams via gradient elasticity theoryEngineering Fracture Mechanics, 105
A. Upadhyay, K. Simha (2007)
Equivalent Homogeneous Variable Depth Beams for Cracked FGM Beams; Compliance ApproachInternational Journal of Fracture, 144
J. Hutchinson, Z. Suo (1991)
Mixed mode cracking in layered materialsAdvances in Applied Mechanics, 29
M. Tilbrook, R. Moon, M. Hoffman (2005)
Crack propagation in graded compositesComposites Science and Technology, 65
Jun (2006)
The effect of the lattice parameter of functionally graded materials on the stress field near crack tipStrength, Fracture and Complexity: An International Journal, 4
M. Gasik (2010)
Functionally Graded Materials: bulk processing techniquesInternational Journal of Materials & Product Technology, 39
Jun Liang, Zhengong Zhou (2005)
The effect of the lattice parameter of functionally graded materials on the dynamic stress field near crack tipsInternational Journal of Mechanics and Materials in Design, 2
Koizumi (1993)
The concept of FGM ceramic transFunctionally Gradient Materials, 34
G. Paulino (2002)
Fracture of functionally graded materialsEngineering Fracture Mechanics, 69
A. Szekrényes (2016)
Nonsingular crack modelling in orthotropic plates by four equivalent single layersEuropean Journal of Mechanics A-solids, 55
M. Nemat-Alla, Moataz Ata, M. Bayoumi, Wael Khair-Eldeen (2011)
Powder Metallurgical Fabrication and Microstructural Investigations of Aluminum/Steel Functionally Graded MaterialMaterials Sciences and Applications, 02
A. Neubrand, J. Rödel (1997)
Gradient Materials: An Overview of a Novel ConceptInternational Journal of Materials Research, 88
C. Lü, C. Lim, Wei-qiu Chen (2009)
Semi‐analytical analysis for multi‐directional functionally graded plates: 3‐D elasticity solutionsInternational Journal for Numerical Methods in Engineering, 79
The longitudinal fracture in a functionally graded beam configuration was investigated analytically with considering the non-linear material behaviour. It was assumed that the material is functionally graded along the beam width. The mechanical behaviour of beam was modelled by a power-law stress–strain relation. The fracture was analyzed in terms of the strain energy release rate. An analytical solution for the strain energy release rate was derived by considering the beam complimentary strain energy. In order to verify the solution, the strain energy release rate was analyzed also by considering the complimentary strain energy in the beam cross-sections ahead and behind the crack front. The influence of material gradient, beam height and crack location along the beam width on the non-linear longitudinal fracture was investigated. The results obtained may be used for optimization of elastic-plastic functionally graded beams with respect to their fracture behaviour. The present paper contributes for the understanding of longitudinal fracture in functionally graded structures with non-linear material behaviour.
Strength, Fracture and Complexity – IOS Press
Published: Jan 1, 2017
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