Polycrystal thermo-elasticity revisited: theory and applications

Carlos N. Tomé; Ricardo A. Lebensohn

doi:10.5802/crmeca.18

Polycrystal thermo-elasticity revisited: theory and applications

Carlos N. Tomé ¹ ; Ricardo A. Lebensohn ¹

¹ Los Alamos National Laboratory, Los Alamos, NM 87544, USA

Comptes Rendus. Mécanique, Volume 348 (2020) no. 10-11, pp. 877-891.

Résumé

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, 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.

Reçu le : 2020-05-07
Révisé le : 2020-07-06
Accepté le : 2020-07-06
Première publication : 2020-11-18
Publié le : 2021-01-13

DOI : 10.5802/crmeca.18

Mots clés : Homogenization, Self-consistent methods, Thermo-elasticity, Polycrystals, Anisotropy, Metals

Affiliations des auteurs :

Carlos N. Tomé ¹ ; Ricardo A. Lebensohn ¹

¹ Los Alamos National Laboratory, Los Alamos, NM 87544, USA

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Carlos N. Tom\'e and Ricardo A. Lebensohn},
     title = {Polycrystal thermo-elasticity revisited: theory and applications},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {877--891},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {348},
     number = {10-11},
     year = {2020},
     doi = {10.5802/crmeca.18},
     language = {en},
}

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Carlos N. Tomé; Ricardo A. Lebensohn. Polycrystal thermo-elasticity revisited: theory and applications. Comptes Rendus. Mécanique, Volume 348 (2020) no. 10-11, pp. 877-891. doi : 10.5802/crmeca.18. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.18/

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