1974
DOI: 10.1177/002199837400800407
|View full text |Cite
|
Sign up to set email alerts
|

Thermal Expansions of Heterogeneous Solids Containing Aligned Ellipsoidal Inclusions

Abstract: A theoretical study has been made to predict overall thermal expansion characteristics of a two-phase material consisting of a matrix and aligned ellipsoidal inclusions. The calculation is based on Eshelby's theory on the transformation problem; an approximate method is Introduced to account for the effect of finite concentrations of the inclusions. The following two cases are treated: elastic matrix-elastic inclusions and elastoplastic matrix- elastic inclusions. The results are explicitly obtained when shape… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

1
18
0

Year Published

1976
1976
2021
2021

Publication Types

Select...
6
2

Relationship

0
8

Authors

Journals

citations
Cited by 111 publications
(19 citation statements)
references
References 7 publications
1
18
0
Order By: Relevance
“…A considerable amount of work has been done to predict the thermal expansion coefficients of composites. [37][38][39] The rule of mixtures serves as the first order approximation to the overall calculation of the coefficient of thermal expansion of the composite. 40 This can be expressed as…”
Section: Coefficient Of Thermal Expansion (Cte)mentioning
confidence: 99%
“…A considerable amount of work has been done to predict the thermal expansion coefficients of composites. [37][38][39] The rule of mixtures serves as the first order approximation to the overall calculation of the coefficient of thermal expansion of the composite. 40 This can be expressed as…”
Section: Coefficient Of Thermal Expansion (Cte)mentioning
confidence: 99%
“…Research carried out using Eshelby's [9] inclusion technique to obtain homogenization relations applicable for both the calculation of elastic constants [10] and for the modelling of inelastic behaviours [11] such as creep will be presented along the paper. A self-consistent model used to calculate 75 the thermal expansion of a multiphase aggregate based on some of the results obtained by Wakashima et al [12] will also be presented.…”
mentioning
confidence: 99%
“…The coefficient of thermal expansion, α, is calculated using an expression derived upon the same hypotheses used by Wakashima et al [12], modified to make use of the self-consistency approach and generalised to take into account the presence of several phases, yielding…”
mentioning
confidence: 99%
“…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%