1968
DOI: 10.1177/002199836800200308
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Thermal Expansion Coefficients of Composite Materials Based on Energy Principles

Abstract: Bounds on effective thermal expansion coefficients of isotropic and anisotropic composite materials consisting of isotropic phases are derived by employing extremum principles of thermoelasticity. Inequalities between certain approximate and exact forms of the potential and complementary energy functionals are first estab lished. These inequalities are then used in conjunction with a new method for minimizing the difference between upper and lower bounds in order to derive volumetric and linear thermal expansi… Show more

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Cited by 1,062 publications
(366 citation statements)
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“…This model completely accords with a linear correlation between the CTE of the components and volume fraction of each component [6]. Schapery [7] further developed the prediction model and studied bounds on effective CTE of composite materials made up of isotropic phases based onthermo-elastic principles. Upper and lower bounds can be obtained based on the Hashin-Shtrikman [8] model.…”
Section: Introductionmentioning
confidence: 67%
“…This model completely accords with a linear correlation between the CTE of the components and volume fraction of each component [6]. Schapery [7] further developed the prediction model and studied bounds on effective CTE of composite materials made up of isotropic phases based onthermo-elastic principles. Upper and lower bounds can be obtained based on the Hashin-Shtrikman [8] model.…”
Section: Introductionmentioning
confidence: 67%
“…Parameters ξ 1 and ξ 2 are the parameters of the model which reflect information of the geometry of the reinforcement and the degree of inhomogeneity in the composite material. Schaperys model An analytical model to calculate longitudinal and transverse coefficients of thermal expansion is Schaperys model [22]. Schapery's based his approach on an iso-strain behaviour of fibres and matrix.…”
Section: Comparison Of the Results With Analytical Modelsmentioning
confidence: 99%
“…In a similar manner to the analysis of the composite and fibre modulus, the coefficient of thermal expansion of the composites determined by TMA can be used to establish the coefficient of thermal expansion of the fibre using micromechanical models. The longitudinal coefficient of thermal expansion of the fibre (α f1 ) can be obtained using a rearrangement of the well-established Schapery [23] equation:…”
Section: Composite and Fibre Thermal Expansionmentioning
confidence: 99%