Orthotropic Thermal Conductivity of Plain-Weave Fabric Composites Using a Homogenization Technique

Abstract

This article presents a new application of two-scale asymptotic homogeni zation schemes to predict the orthotropic thermal conductivity of plain-weave fabric rein forced composite laminates. A unit-cell, enclosing the characteristic periodic repeat pat tern in the fabric weave, is isolated and modeled. A new three-dimensional series-parallel thermal resistance network is developed to solve a steady-state heat transfer boundary value problem (BVP) for this unit-cell. Laminate effective orthotropic thermal conduc tivities are obtained analytically and numerically as functions of (1) thermal conductivity of the constituent materials, (2) fiber volume fraction, and (3) weave style. The analyti cally predicted thermal conductivity values are compared with numerical finite element predictions, with existing models in the literature and with experimentally obtained values.

Composite Materials from Natural Resources: Recent Trends and Future Potentials

“…The interlacing of fibre bundles in woven fabrics composites prevents the growth of damage and hence provides an increase in impact toughness compared with unidirectional composites. Silk woven fabrics composites are easy to handle and have excellent formability (Dasgupta & Agarwal, 1992). The tensile strength (TS) and bending strength (BS) with varying silk content of the composite.…”

Asymptotic homogenization for modeling of wingbox structures

“…(17) for indices µ = 2, α = 2, and pertains to the in-plane elastic coefficients in y 2 direction; this follows directly from Eq. (17) and is readily determined to be:…”

“…One technique that can meet these objectives is that of asymptotic homogenization and the mathematical details can be found in [7][8][9][10]. Many problems of different length-scale in elasticity, thermoelasticity, piezoelasticity, fracture mechanics, design and optimization as they pertain to composite beams, plates and shells have been analyzed using asymptotic homogenization [11], [12] and can be found in the works of [12][13][14][15][16][17][18][19][20].…”

Thermal conductivities of three-dimensionally woven fabric composites

“…This model is applicable only for a fiber volume fraction up to 50% and provides useful predictions for fiber volume fractions up to 40 %. In 1992, Dasgupta and Agarwal published an extensive paper on thermal conductivities of plain-weave balanced fabric composites, where "balanced" means to identical properties in warp and weft direction of the fabric [23]. Ning and Chou have refined the Dasgupta/Agarwal-model for unbalanced fabrics in 1995 [24].…”