Thermal expansion of isotropic multiphase composites and polycrystals

L. V. Gibiansky; S. Torquato

doi:10.1016/S0022-5096(96)00129-9

Thermal expansion of isotropic multiphase composites and polycrystals

L. V. Gibiansky, S. Torquato

Research output: Contribution to journal › Article › peer-review

76 Scopus citations

Abstract

Sharp bounds on the effective thermal expansion coefficients of isotropic multiphase composites and isotropic polycrystals are obtained by using classical variational principles and the translation method. Our bounds are appreciably narrower than the known Schapery-Rosen-Hashin bounds. Conditions are formulated that guarantee a one-to-one correspondence between the bulk modulus and thermal expansion coefficient of a polycrystal. All of our results can be readily applied to the poroelasticity problem. Generalizations of the results to treat anisotropic composites comprised of anisotropic phases are discussed.

Original language	English (US)
Pages (from-to)	1223-1252
Number of pages	30
Journal	Journal of the Mechanics and Physics of Solids
Volume	45
Issue number	7
DOIs	https://doi.org/10.1016/S0022-5096(96)00129-9
State	Published - Jul 1997

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Keywords

A. Thermomechanical processes
B. Inhomogeneous material
B. Polycrystalline material
B. Thermal expansion
C. Variational calculus

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10.1016/S0022-5096(96)00129-9

Cite this

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title = "Thermal expansion of isotropic multiphase composites and polycrystals",

abstract = "Sharp bounds on the effective thermal expansion coefficients of isotropic multiphase composites and isotropic polycrystals are obtained by using classical variational principles and the translation method. Our bounds are appreciably narrower than the known Schapery-Rosen-Hashin bounds. Conditions are formulated that guarantee a one-to-one correspondence between the bulk modulus and thermal expansion coefficient of a polycrystal. All of our results can be readily applied to the poroelasticity problem. Generalizations of the results to treat anisotropic composites comprised of anisotropic phases are discussed.",

keywords = "A. Thermomechanical processes, B. Inhomogeneous material, B. Polycrystalline material, B. Thermal expansion, C. Variational calculus",

author = "Gibiansky, {L. V.} and S. Torquato",

note = "Funding Information: The authors thank Ole Sigmund for very helpful discussions. We are also grateful to the creators of the MAPLE V (1981) program which we used heavily during the work on this project. We gratefully acknowledge the support of the Army Research Office under MURI Grant DAAH04-95-l-01 02.",

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doi = "10.1016/S0022-5096(96)00129-9",

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T1 - Thermal expansion of isotropic multiphase composites and polycrystals

AU - Gibiansky, L. V.

AU - Torquato, S.

N1 - Funding Information: The authors thank Ole Sigmund for very helpful discussions. We are also grateful to the creators of the MAPLE V (1981) program which we used heavily during the work on this project. We gratefully acknowledge the support of the Army Research Office under MURI Grant DAAH04-95-l-01 02.

PY - 1997/7

Y1 - 1997/7

N2 - Sharp bounds on the effective thermal expansion coefficients of isotropic multiphase composites and isotropic polycrystals are obtained by using classical variational principles and the translation method. Our bounds are appreciably narrower than the known Schapery-Rosen-Hashin bounds. Conditions are formulated that guarantee a one-to-one correspondence between the bulk modulus and thermal expansion coefficient of a polycrystal. All of our results can be readily applied to the poroelasticity problem. Generalizations of the results to treat anisotropic composites comprised of anisotropic phases are discussed.

AB - Sharp bounds on the effective thermal expansion coefficients of isotropic multiphase composites and isotropic polycrystals are obtained by using classical variational principles and the translation method. Our bounds are appreciably narrower than the known Schapery-Rosen-Hashin bounds. Conditions are formulated that guarantee a one-to-one correspondence between the bulk modulus and thermal expansion coefficient of a polycrystal. All of our results can be readily applied to the poroelasticity problem. Generalizations of the results to treat anisotropic composites comprised of anisotropic phases are discussed.

KW - A. Thermomechanical processes

KW - B. Inhomogeneous material

KW - B. Polycrystalline material

KW - B. Thermal expansion

KW - C. Variational calculus

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JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

IS - 7

ER -

Thermal expansion of isotropic multiphase composites and polycrystals

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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