Effective Thermomechanical Behavior of Plain-Weave Fabric-Reinforced Composites Using Homogenization Theory

Abstract

A micromechanical analysis is presented to obtain the effective macroscale orthotropic thermomechanical behavior of plain-weave fabric reinforced laminated composites based on a two-scale asymptotic homogenization theory. The model is based on the properties of the constituents and an accurate, three-dimensional simulation of the weave microarchitecture, and is used for predicting the thermomechanical behavior of glass-epoxy (FR-4) woven-fabric laminates typically used by the electronics industry in Multilayered Printed Wiring Boards (MLBs). Parametric studies are conducted to examine the effect of varying fiber volume fractions on constitutive properties. Nonlinear constitutive behavior due to matrix nonlinearity and post-damage behavior due to transverse yarn failure under in-plane uniaxial loads is then investigated. Numerical results obtained from the model show good agreement with experimental values and with data from the literature. This model may be utilized by material designers to design and manufacture fabric reinforced composites with tailored effective properties such as elastic moduli, shear moduli, Poisson’s ratio, and coefficients of thermal expansion.

Progressive Failure Analysis of Plain Weaves Using Damage Mechanics Based Constitutive Laws

“…These results are compared with experimental values [6,8,9]. Figure 3 shows a good agreement between the results of the present analysis and experimental values in the pre-'knee' portion of the stressstrain curve.…”

“…Micromechanics of textile composites has been the focus of study by many investigators [1][2][3][4][5][6][7][8][9][10][11]. The proper description of the internal weave geometry and spatial variation in material properties within the fabric presents a formidable task in the analysis of such composites.…”

“…Most of the analytical studies on such composites have focussed on predicting their elastic properties [1][2][3][4][5][6][7]. Studies relating to prediction of their strength and failure modes are relatively few [8][9][10][11].…”

Application of periodic boundary conditions on multiple part finite element meshes for the meso-scale homogenization of textile fabric composites

“…The larger R, the more nodes will be implemented in the search algorithm and equation (2)(3)(4)(5)(6)(7)(8)(9)(10)(11), the higher the computational time for obtaining the closest point p y . The node p y is associated with cell j (Figure 6(c)) and node p n is implemented in the same cell.…”

“…Work from Kabelka (1984) [5], Woo and Whitcomb (1992) [6], Sankar and Marrey (1997) [7] presented solutions for 2D analyses of plain weave composites using the assumption of plain-strain state, but these models are not suitable for correctly modelling textile composites [3]. Yoshino and Ohtsuka (1982) [8], Whitcomb (1989) [9], Dasgupta et al (1994) [10], Naik and Ganesh (1992) [11], Paumelle et al (1991) [12], Blacketter et al (1993) [13], Glaesgen et al (1996) [14], MCilhagger and Hill et al (1995) [15], [16], Verpoest and Lomov (2005) [17] and Kurashiki et al (2005) [18] developed 3D models in combination with homogenization theories viz. kinematic and periodic boundary conditions for the prediction of the macro homogenized elastic properties of textile reinforced RUC.…”