Polycrystal thermo-elasticity revisited: theory and applications

Tome, Carlos; Lebensohn, Ricardo A.

doi:10.5802/crmeca.18

Title: Polycrystal thermo-elasticity revisited: theory and applications

Abstract

The self-consistent (SC) theory is the most commonly used mean-field homogenization method to estimate the mechanical response behavior of polycrystals based on the knowledge of the properties and orientation distribution of constituent single-crystal grains. The original elastic SC method can be extended to thermo-elasticity by adding a stress-free strain to an elastic constitutive relation that expresses stress as a linear function of strain. With the addition of this independent term, the problem remains linear. Although the thermo-elastic self-consistent (TESC) model has important theoretical implications for the development of self-consistent homogenization of non-linear polycrystals, in this paper, we focus on TESC applications to actual thermo-elastic problems involving non-cubic (i.e. thermally anisotropic) materials. To achieve this aim, here we provide a thorough description of the TESC theory, which is followed by illustrative examples involving cooling of polycrystalline non-cubic metals. The TESC model allows studying the effect of crystallographic texture and single-crystal elastic and thermal anisotropy on the effective thermo-elastic response of the aggregate and on the internal stresses that develop at the local level.

Authors:

^[1];

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: Wed Nov 18 00:00:00 EST 2020

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1760589

Report Number(s):: LA-UR-20-23936
Journal ID: ISSN 1873-7234

Grant/Contract Number:: 89233218CNA000001

Resource Type:: Accepted Manuscript

Journal Name:: Comptes Rendus. Mecanique

Additional Journal Information:: Journal Volume: 348; Journal Issue: 10-11; Journal ID: ISSN 1873-7234

Publisher:: Academie des Sciences

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Homogenization; Self-consistent methods; Thermo-elasticity; Polycrystals; Anisotropy; Metals

Citation Formats


                    Tome, Carlos, and Lebensohn, Ricardo A. Polycrystal thermo-elasticity revisited: theory and applications.  United States: N. p., 2020. 
Web.  doi:10.5802/crmeca.18.

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                    Tome, Carlos, & Lebensohn, Ricardo A. Polycrystal thermo-elasticity revisited: theory and applications.  United States.  https://doi.org/10.5802/crmeca.18

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                    Tome, Carlos, and Lebensohn, Ricardo A. Wed .  
"Polycrystal thermo-elasticity revisited: theory and applications".  United States.  https://doi.org/10.5802/crmeca.18.  https://www.osti.gov/servlets/purl/1760589.

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@article{osti_1760589,

  title        = {Polycrystal thermo-elasticity revisited: theory and applications},

  author       = {Tome, Carlos and Lebensohn, Ricardo A.},

  abstractNote = {The self-consistent (SC) theory is the most commonly used mean-field homogenization method to estimate the mechanical response behavior of polycrystals based on the knowledge of the properties and orientation distribution of constituent single-crystal grains. The original elastic SC method can be extended to thermo-elasticity by adding a stress-free strain to an elastic constitutive relation that expresses stress as a linear function of strain. With the addition of this independent term, the problem remains linear. Although the thermo-elastic self-consistent (TESC) model has important theoretical implications for the development of self-consistent homogenization of non-linear polycrystals, in this paper, we focus on TESC applications to actual thermo-elastic problems involving non-cubic (i.e. thermally anisotropic) materials. To achieve this aim, here we provide a thorough description of the TESC theory, which is followed by illustrative examples involving cooling of polycrystalline non-cubic metals. The TESC model allows studying the effect of crystallographic texture and single-crystal elastic and thermal anisotropy on the effective thermo-elastic response of the aggregate and on the internal stresses that develop at the local level.},

  doi          = {10.5802/crmeca.18},

  journal      = {Comptes Rendus. Mecanique},

  number       = 10-11,

  volume       = 348,

  place        = {United States},

  year         = {Wed Nov 18 00:00:00 EST 2020},

  month        = {Wed Nov 18 00:00:00 EST 2020}

}

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Works referenced in this record:

The Theory of Composites
book, December 2009

Milton, Graeme W.
DOI: 10.1017/CBO9780511613357

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Title: Polycrystal thermo-elasticity revisited: theory and applications

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