Abstract: The dynamical problem of linear thermoelasticity for a body with incorporated thin rectilinear inclusions is studied. It is assumed that the inclusions (i.e. filaments and threads) are parallel to each other and the problem contains a small parameter >0, which characterizes the distance between two neighbouring inclusions. Using the two-scale convergence approach, we find the limiting problem as →0. As a result, we get a well-posed homogenized model of an anisotropic inhomogeneous body with effective characteristics inheriting thermomechanical properties of inclusions. This article is part of the theme issue ‘Non-smooth variational problems with applications in mechanics’.

Cite: Rudoy E.M. , Sazhenkov S.A.
The homogenized dynamical model of a thermoelastic composite stitched with reinforcing filaments
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2024. V.382. N20230304. 20230304 :1-15. DOI: 10.1098/rsta.2023.0304 WOS Scopus РИНЦ OpenAlex

Dates:

Submitted:	Feb 17, 204
Accepted:	Mar 14, 2024
Published print:	Jul 15, 2024

Identifiers:

Web of science:	WOS:001279586200012
Scopus:	2-s2.0-85199015023
Elibrary:	68843310
OpenAlex:	W4400662354

Citing:

DB	Citing
OpenAlex	1
Scopus	1
Web of science	1

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