Title:
Invariant properties of contrast parameters of plane elastic composites
Authors:
- Vladimir Mityushev
Published in:
(2024). ECMS 2024, 38th Proceedings
Edited by: Daniel Grzonka, Natalia Rylko, Grazyna Suchacka, Vladimir Mityushev, European Council for Modelling and Simulation.
DOI: http://doi.org/10.7148/2024
ISSN: 2522-2422 (ONLINE)
ISSN: 2522-2414 (PRINT)
ISSN: 2522-2430 (CD-ROM)
ISBN: 978-3-937436-84-5
ISBN: 978-3-937436-83-8 (CD) Communications of the ECMS Volume 38, Issue 1, June 2024, Cracow, Poland June 4th – June 7th, 2024
DOI:
https://doi.org/10.7148/2024-0275
Citation format:
Vladimir mityushev (2024). Invariant properties of contrast parameters of plane elastic composites, ECMS 2024, Proceedings Edited by: Daniel Grzonka, Natalia Rylko, Grazyna Suchacka, Vladimir Mityushev, European Council for Modelling and Simulation. doi:10.7148/2024-0275
Abstract:
Contrast dimensionless parameters of two-phase fibrous composites are investigated. The local stress and strain fields in composites and the effective constants can be described by means of two contrast parameters. The importance of the contrast parameters resides in their role in representing complex potentials and correspondingly local fields through power series expansions. A set of transformations under which the contrast parameters are invariant is described. This set extends the shift transformations introduced by Cherkaev, Lurie, and Milton (CLM transformation). The relation between contrast parameters and Dundurs' constant is established.
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