Prediction of Elastic Properties for Unidirectional Carbon Composites: Periodic Boundary Condition Approach

Abstract:

A three-dimensional finite element model of unidirectional fibre reinforced composites has been investigated numerically using periodic boundary condition method. This method was used to predict the elastic mechanical behaviour of a unit cell of such composites. Periodic boundary condition was used due to its capability to represent a single unit cell similar to the neighbouring unit cells with continuous physical elements. It is assumed that the paired nodes displaced continuously without separating or interrupting other nodes during the deformation step. From the study, it was revealed that the elastic modulus agreed well with the experimental results, indicating that the present model could be used effectively.

• Periodical: Applied Mechanics and Materials (Volumes 773-774)
• Pages: 262-266
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.773-774.262
• Online since: July 2015
• Authors: K.A. Kamarudin*, Al Emran Ismail
• Keywords: Composite, Mechanical Property, Periodic Boundary Conditions, Unit Cell

References

[1] Hashin Z and Rosen BW (1964), The elastic moduli of fiber-reinforced materials. ASME J Appl Mech. 31: 223-32.

[2] Whitney JM and Riley MB (1966), Elastic properties of fiber reinforced composite materials. AIAA J, 4: 1537-42.

[3] Sun CT and Chen JL (1990), A micromechanical model for plastic behaviour of fibrous composites, Comp Sci Technol. 40 : 115-29.

[4] Li S (2001), General unit cells for micromechanical analyses of unidirectional composites. Composites Part A: Applied Science and Manufacturing 32(6): 815-826.

DOI: 10.1016/s1359-835x(00)00182-2

[5] Z, Zhou C, Yong Q and Wang X (2006), On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites, Int. Journal of Solids and Structures, 43(2): 266-278.

DOI: 10.1016/j.ijsolstr.2005.03.055

[6] Tyrus JM, Gosz M and DeSantiago E (2007), A local finite element implementation for imposing periodic boundary conditions on composite micromechanical models. Int. Journal of Solids and Structures 44(9): 2972-2989.

DOI: 10.1016/j.ijsolstr.2006.08.040

[7] Li S and Wongsto A (2004), Unit cells for micromechanical analyses of particle-reinforced composites, Mechanics of Materials, 36(7): 543-572.

DOI: 10.1016/s0167-6636(03)00062-0

[8] Abolfathi N, Naik A, Karami G and Ulven C (2008), A micromechanical characterisation of angular bidirectional fibrous composites. Computational Material Science 43: 1193-1206.

DOI: 10.1016/j.commatsci.2008.03.017

[9] Drago A and Pindera M, (2007), Micro-macromechanical analysis of heterogeneous materials: Macroscopically homogeneous vs periodic microstructures, Composites Science and Technology, 67(6): 1243-1263.

DOI: 10.1016/j.compscitech.2006.02.031

[10] Ohno N, Wu X and Matsuda T (2000), Homogenized properties of elastic–viscoplastic composites with periodic internal structures, International Journal of Mechanical Sciences, 42(8): 1519-1536.

DOI: 10.1016/s0020-7403(99)00088-0

[11] King TR, Blackketter DM, Walrath DE and Adams DF (1992), Micromechanics Prediction of the Shear Strength of Carbon Fiber/Epoxy Matrix Composites: The Influence of the Matrix and Interface Strengths, Journal of Composite Materials, 26: 558-573.

DOI: 10.1177/002199839202600406

[12] Sun CT and Vaidya RS (1996), Prediction of composite properties from a representative volume element. Composites Science and Technology, 56(2): 171-179.

DOI: 10.1016/0266-3538(95)00141-7

[13] Lee JW and Daniel IM (1990), Progressive transverse cracking of cross ply composite laminates, Journal of Composite Material, 24: 1225-43.

DOI: 10.1177/002199839002401108

[14] Sun CT and Zhou SG (1988), Failure of quasi-isotropic composite laminates with free edges, Journal of Reinfastructure Plastic Composite, 7: 515-57.

[15] Kim BC, Park DC, Kim BJ and Lee DG (2010), Through-thickness compressive strength of a carbon/epoxy composite laminate, Composite Structure, 92(2): 480-487.

DOI: 10.1016/j.compstruct.2009.08.032