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

Author:

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

Abstract

AbstractA 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.

Funder

Ministry of Science and Higher Education of the Russian Federation

Università degli Studi di Padova

Publisher

Springer Science and Business Media LLC

Subject

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

Reference27 articles.

1. Engquist B, Li X, Ren W, Vanden-Eijnden E (2007) Heterogeneous multiscale methods: a review. Commun Comput Phys 2(3):367–450

2. Kanouté P, Boso DP, Chaboche JL, Schrefler BA (2009) Multiscale methods for composites: a review. Archiv Comput Methods Eng 16(1):31–75

3. Voigt W (1887) Theoretische Studien über die Elasticitätsverhältnisse der Krystalle. Abh Kgl Ges Wiss Göttingen Math Kl 34:3–51

4. Reuss A (1929) Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle. J Appl Math Mech 9:49–58

5. Bensoussan A, Lions JL, Papanicolaou G (1978) Asymptotic analysis for periodic structures. North-Holland Publ. Comp, Amsterdam

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