Multiscale thermoelastic modelling of composite strands using the “fundamental solutions” method

A. S. Nemov; A. I. Borovkov; B. A. Schrefler

doi:10.1007/s00466-022-02185-8

Multiscale thermoelastic modelling of composite strands using the “fundamental solutions” method

A. S. Nemov, A. I. Borovkov, B. A. Schrefler

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

1 Scopus citations

Abstract

A novel computationally effective approach to multiscale thermoelastic modelling of composite structures and its application to a thermomechanical analysis of two ITER superconducting strands is presented. Homogenisation and recovering problems are solved by means of the “fundamental solutions” method, which was expanded to the case of thermoelastic analysis. We describe a general procedure of multiscale analysis on the basis of this method and apply it to recover stresses at the microscopic scale of a composite strands using a two-level procedure. The recovered micro-stresses are found to be in good correlation with the stresses obtained in the reference problem where the entire composite structure was modelled with a fine mesh.

Original language	English (US)
Pages (from-to)	661-678
Number of pages	18
Journal	Computational Mechanics
Volume	70
Issue number	3
DOIs	https://doi.org/10.1007/s00466-022-02185-8
State	Published - Sep 2022

Keywords

Composite structure
Homogenisation
Multiscale thermoelastic modelling
Stress recovery
Superconducting strands

ASJC Scopus subject areas

Computational Mechanics
Ocean Engineering
Mechanical Engineering
Computational Theory and Mathematics
Computational Mathematics
Applied Mathematics

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10.1007/s00466-022-02185-8

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title = "Multiscale thermoelastic modelling of composite strands using the “fundamental solutions” method",

abstract = "A novel computationally effective approach to multiscale thermoelastic modelling of composite structures and its application to a thermomechanical analysis of two ITER superconducting strands is presented. Homogenisation and recovering problems are solved by means of the “fundamental solutions” method, which was expanded to the case of thermoelastic analysis. We describe a general procedure of multiscale analysis on the basis of this method and apply it to recover stresses at the microscopic scale of a composite strands using a two-level procedure. The recovered micro-stresses are found to be in good correlation with the stresses obtained in the reference problem where the entire composite structure was modelled with a fine mesh.",

keywords = "Composite structure, Homogenisation, Multiscale thermoelastic modelling, Stress recovery, Superconducting strands",

author = "Nemov, {A. S.} and Borovkov, {A. I.} and Schrefler, {B. A.}",

note = "Funding Information: Open access funding provided by Universit{\`a} degli Studi di Padova within the CRUI-CARE Agreement. Funding Information: The research is partially funded by the Ministry of Science and Higher Education of the Russian Federation as part of World-class Research Center program: Advanced Digital Technologies (contract No. 075-15-2020-934 dated 17.11.2020). Publisher Copyright: {\textcopyright} 2022, The Author(s).",

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doi = "10.1007/s00466-022-02185-8",

language = "English (US)",

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AU - Nemov, A. S.

AU - Borovkov, A. I.

AU - Schrefler, B. A.

N1 - Funding Information: Open access funding provided by Università degli Studi di Padova within the CRUI-CARE Agreement. Funding Information: The research is partially funded by the Ministry of Science and Higher Education of the Russian Federation as part of World-class Research Center program: Advanced Digital Technologies (contract No. 075-15-2020-934 dated 17.11.2020). Publisher Copyright: © 2022, The Author(s).

PY - 2022/9

Y1 - 2022/9

N2 - A novel computationally effective approach to multiscale thermoelastic modelling of composite structures and its application to a thermomechanical analysis of two ITER superconducting strands is presented. Homogenisation and recovering problems are solved by means of the “fundamental solutions” method, which was expanded to the case of thermoelastic analysis. We describe a general procedure of multiscale analysis on the basis of this method and apply it to recover stresses at the microscopic scale of a composite strands using a two-level procedure. The recovered micro-stresses are found to be in good correlation with the stresses obtained in the reference problem where the entire composite structure was modelled with a fine mesh.

AB - A novel computationally effective approach to multiscale thermoelastic modelling of composite structures and its application to a thermomechanical analysis of two ITER superconducting strands is presented. Homogenisation and recovering problems are solved by means of the “fundamental solutions” method, which was expanded to the case of thermoelastic analysis. We describe a general procedure of multiscale analysis on the basis of this method and apply it to recover stresses at the microscopic scale of a composite strands using a two-level procedure. The recovered micro-stresses are found to be in good correlation with the stresses obtained in the reference problem where the entire composite structure was modelled with a fine mesh.

KW - Composite structure

KW - Homogenisation

KW - Multiscale thermoelastic modelling

KW - Stress recovery

KW - Superconducting strands

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JO - Computational Mechanics

JF - Computational Mechanics

IS - 3

ER -

Multiscale thermoelastic modelling of composite strands using the “fundamental solutions” method

Abstract

Keywords

ASJC Scopus subject areas

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