1970
DOI: 10.1063/1.1658619
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Thermal-Expansion Behavior of Two-Phase Solids

Abstract: The thermal expansion behavior of the two duplex systems, lead-fused silica and aluminum-silicon, has been investigated experimentally above and below room temperature. The microstructure in the first case consisted of fused silica particles in a lead matrix, while silicon constituted the dispersed phase in the second. The expansion coefficients always fell below those predicted by the simple rule of mixtures. A model is proposed and a new formula for the calculation of the thermal expansion coefficient of dup… Show more

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Cited by 137 publications
(52 citation statements)
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“…If (49) which corresponds with the relations obtained by Wang and Kwei [56] and Fahmy and Ragai [57] from a consideration of the displacements and stresses in a composite sphere.…”
Section: Thermal Expansion Coefficientsmentioning
confidence: 71%
“…If (49) which corresponds with the relations obtained by Wang and Kwei [56] and Fahmy and Ragai [57] from a consideration of the displacements and stresses in a composite sphere.…”
Section: Thermal Expansion Coefficientsmentioning
confidence: 71%
“…which corresponds with the relations obtained by Fahmy and Ragai [6]. These two authors derived equation ( 1.8) from ' a consideration the difference between linear strains at interfaces in a composite sphere.…”
Section: Introductionmentioning
confidence: 99%
“…In general, Turner's equation yields lower CTE values compared to the simple rule of mixtures method because the phases with low expansion coefficients are likely to have high elastic moduli [26]. Hermosilla et al [27] calculate the CTE of a phase aggregate using a modified version of an expression derived by Wakashima et al [28] given by…”
Section: Mixtures Of Phasesmentioning
confidence: 99%
“…The method can be used to recognise the micro-stresses, termed tessellated stresses, which are known to develop between differentially expanding phases. The most recognised formula which accounts for the elastic stresses is given by the Turner's equation [25,26] a ¼…”
Section: Mixtures Of Phasesmentioning
confidence: 99%