Development of an Elastic Functionally Graded Interphase Model for the Micromechanics Response of Composites
A new micromechanics framework is developed for
long fibre reinforced composites using a single fibre surrounded by
a functionally graded interphase and matrix as a representative unit
cell. The unit cell is formulated to represent any number of aligned
fibres by a single fibre. Using this model the elastic response of long
fibre composites is predicted in all directions. The model is calibrated
to experimental results and shows very good agreement in the elastic
regime. The differences between the proposed model and existing
models are discussed.
[1] A. Esnaola, I. Tena, J. Aurrekoetxea, I. Gallego, and I. Ulacia,
“Effect of fibre volume fraction on energy absorption capabilities
of e-glass/polyester automotive crash structures,” Composites: Part B,
vol. 85, pp. 1–7, 2016.
[2] B. Bussadori, K. Schuffenhauer, and A. Scattina, “Modelling of CFRP
crushing structures in explicit crash analysis,” Composites: Part B,
vol. 60, pp. 725–735, 2014.
[3] R. Talreja, “Assessment of the fundamentals of failure theories for
composite materials,” Composites Science and Technology, vol. 105, pp.
190–201, 2014.
[4] J. Aboudi, S. Arnold, and B. Bednarcyk, Micromechanics of Composite
Materials. Oxford: Butterworth-Heinemann, 2013.
[5] D. O’Dwyer, N. O’Dowd, and C. McCarthy, “Micromechanical
investigation of damage processes at composite-adhesive interfaces,”
Composites Science and Technology, vol. 86, pp. 61–69, 2013.
[6] V. Kushch, S. Shmegera, and L. Mishnaevsky, “Explicit modeling
the progressive interface damage in fibrous composite: Analytical vs.
numerical approach,” Composites Science and Technology, vol. 71, pp.
989–997, 2011.
[7] T. Sabiston, M. Mohammadi, M. Cherkaoui, J. L´evesque, and K. Inal,
“Micromechanics for a long fibre reinforced composite model with
a functionally graded interphase,” Composites Part B: Engineering,
vol. 84, pp. 188–199, 2016.
[8] S. Kyriakides, R. Arseculeratne, E. Perry, and K. Liechti, “On
the compressive failure of fiber reinforced composites,” International
Journal of Solids and Structures, vol. 32, pp. 689–738, 1995.
[9] H. Hsiao and I. Daniel, “Nonlinear elastic behavior of unidirectional
composites with fiber waviness under compressive loading,” Journal of
Engineering Materials and Technology, vol. 118, pp. 561–570, 1996.
[10] C. Chamis, “Simplified composite micromechanics for predicting
microstresses,” National Aeronautics and Space Administration, NASA
Technical Memorandum 87295, 1986. [11] J. Eshelby, “The determination of the elastic field of an ellipsoidal
inclusion, and related problems,” Proceedings of the Royal Society of
London. Series A, Mathematical and Physical Science, vol. 241, no.
1226, pp. 376–396, 1957.
[12] Z. Hashin, “Failure criteria for unidirectional fiber composites,” Journal
of Applied Mechanics, vol. 47, pp. 329–334, 1980.
[1] A. Esnaola, I. Tena, J. Aurrekoetxea, I. Gallego, and I. Ulacia,
“Effect of fibre volume fraction on energy absorption capabilities
of e-glass/polyester automotive crash structures,” Composites: Part B,
vol. 85, pp. 1–7, 2016.
[2] B. Bussadori, K. Schuffenhauer, and A. Scattina, “Modelling of CFRP
crushing structures in explicit crash analysis,” Composites: Part B,
vol. 60, pp. 725–735, 2014.
[3] R. Talreja, “Assessment of the fundamentals of failure theories for
composite materials,” Composites Science and Technology, vol. 105, pp.
190–201, 2014.
[4] J. Aboudi, S. Arnold, and B. Bednarcyk, Micromechanics of Composite
Materials. Oxford: Butterworth-Heinemann, 2013.
[5] D. O’Dwyer, N. O’Dowd, and C. McCarthy, “Micromechanical
investigation of damage processes at composite-adhesive interfaces,”
Composites Science and Technology, vol. 86, pp. 61–69, 2013.
[6] V. Kushch, S. Shmegera, and L. Mishnaevsky, “Explicit modeling
the progressive interface damage in fibrous composite: Analytical vs.
numerical approach,” Composites Science and Technology, vol. 71, pp.
989–997, 2011.
[7] T. Sabiston, M. Mohammadi, M. Cherkaoui, J. L´evesque, and K. Inal,
“Micromechanics for a long fibre reinforced composite model with
a functionally graded interphase,” Composites Part B: Engineering,
vol. 84, pp. 188–199, 2016.
[8] S. Kyriakides, R. Arseculeratne, E. Perry, and K. Liechti, “On
the compressive failure of fiber reinforced composites,” International
Journal of Solids and Structures, vol. 32, pp. 689–738, 1995.
[9] H. Hsiao and I. Daniel, “Nonlinear elastic behavior of unidirectional
composites with fiber waviness under compressive loading,” Journal of
Engineering Materials and Technology, vol. 118, pp. 561–570, 1996.
[10] C. Chamis, “Simplified composite micromechanics for predicting
microstresses,” National Aeronautics and Space Administration, NASA
Technical Memorandum 87295, 1986. [11] J. Eshelby, “The determination of the elastic field of an ellipsoidal
inclusion, and related problems,” Proceedings of the Royal Society of
London. Series A, Mathematical and Physical Science, vol. 241, no.
1226, pp. 376–396, 1957.
[12] Z. Hashin, “Failure criteria for unidirectional fiber composites,” Journal
of Applied Mechanics, vol. 47, pp. 329–334, 1980.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:72734", author = "Trevor Sabiston and Mohsen Mohammadi and Mohammed Cherkaoui and Kaan Inal", title = "Development of an Elastic Functionally Graded Interphase Model for the Micromechanics Response of Composites", abstract = "A new micromechanics framework is developed for
long fibre reinforced composites using a single fibre surrounded by
a functionally graded interphase and matrix as a representative unit
cell. The unit cell is formulated to represent any number of aligned
fibres by a single fibre. Using this model the elastic response of long
fibre composites is predicted in all directions. The model is calibrated
to experimental results and shows very good agreement in the elastic
regime. The differences between the proposed model and existing
models are discussed.", keywords = "Computational mechanics, functionally graded
interphase, long fibre composites, micromechanics.", volume = "10", number = "5", pages = "830-5", }
