In this study, an X-ray computer tomography-based finite element method was developed to predict the elastic modulus of a 2D plane woven carbon fiber-reinforced carborundum matrix composite. Micro-X-ray computer tomography was used to construct a geometrical model of the material. Then, the elastic parameters of each element were determined by the grey level of pixels in the images captured. A standard finite element model process was performed to calculate all of the elastic moduli of the material. In addition, a volume average method for determining the proper representative volume element size was developed to reduce the computational time without losing accuracy.
BensoussanALionsLJPapanicolaouG. Asymptotic methods in periodic media, North Holland: Kluwer Academic, 1978.
2.
BendsoeMPKikuchiN. Generating optimal topologies in structural design using a homogenization method. Comput Meth Appl Mech Eng1988; 71: 197–224.
3.
KikuchiN. Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Comput Meth Appl Mech Eng1990; 83: 143–198.
4.
NishiwakiSFreckerMMinSJ. Topology optimization of compliant mechanisms using the homogenization method. Int J Numerical Meth Eng1998; 42: 535–559.
5.
GhoshSKyunghoonLRaghavanP. A multi-level computational model for multi-scale damage analysis in composite and porous materials. Int J Solid Struct2001; 38: 2335–2385.
6.
RaghavanPGhoshS. A continuum damage mechanics model for unidirectional composites undergoing interfacial debonding. Mech Mater2005; 37: 955–979.
7.
LuZXiaBYangZ. Investigation on the tensile properties of three-dimensional full five-directional braided composites. Computat Mater Sci2013; 77: 445–455.
XuYJZhangWHDomaszewskiM. Microstructure modelling and prediction of effective elastic properties of 3D multiphase and multilayer braided composite. Mater Sci Technol2011; 27: 1213–1221.
10.
XuYJZhangWHWangHB. Prediction of effective elastic modulus of plain weave multiphase and multilayer silicon carbide ceramic matrix composite. Mater Sci Technol2008; 24: 435–442.
11.
WangHB. Numerical computing and experimental validation of effective elastic properties of 2D multilayered C/SiC composites. Mater Sci Technol2008; 24: 1385–1398.
12.
KuhnJLCharalambidesPG. Elastic response of porous matrix plain weave fabric composites: Part I—modeling. J Compos Mater1998; 32: 1426–1471.
13.
CavalcanteMAAMarquesSPCPinderaM-J. Parametric formulation of the finite-volume theory for functionally graded materials. Part I: analysis. ASME J Appl Mech2007; 74: 935–945.
14.
CavalcanteMAAMarquesSPCPinderaM-J. Parametric formulation of the finite-volume theory for functionally graded materials. Part II: numerical results. ASME J Appl Mech2007; 74: 946–957.
15.
GaoXSongYSunZ. Quadrilateral subcell based finite volume micromechanics theory for multiscale analysis of elastic periodic materials. J Appl Mech-TRANS ASME2009; 76: 011013–011013.
16.
Rajneesh Sharma, Puneet Mahajan and Ramesh Kumar Mittal. Image based finite element analysis of 3D-orthogonal carbon-carbon (C/C) composite. In: Proceedings of the world congress on engineering 2010 Vol II, WCE 2010, June 30–July 2, 2010, London, UK.
