| Issue |
E3S Web Conf.
Volume 376, 2023
International Scientific and Practical Conference “Environmental Risks and Safety in Mechanical Engineering” (ERSME-2023)
|
|
|---|---|---|
| Article Number | 01036 | |
| Number of page(s) | 12 | |
| Section | I Environmental Risks and Safety in Mechanical Engineering | |
| DOI | https://doi.org/10.1051/e3sconf/202337601036 | |
| Published online | 31 March 2023 | |
Modeling of effective elastic-plastic properties of layered composites with a periodic structure in the framework of the anisotropic flow theory
Bauman Moscow State Technical University 5, 2-ya Baumanskaya str., 105005 Moscow, Russian Federation
* Corresponding author: dimit.bmstu@gmail.com
The article is devoted to the development of a method for constructing theoretical strain diagrams. The method is based on the use of a model of effective constitutive relations for approximating the deformation diagrams of layered composites obtained using the asymptotic averaging method. To find the elastic constants of the model of a transversally isotropic composite, the method of minimizing the deviation of the approximation deformation diagrams from the diagrams obtained by the asymptotic homogenization (AH) method is used for a series of standard problems of deformation at small deformations. Minimization problems were solved using the Hooke-Jeeves method. The results of numerical simulation by the proposed method for layered composites are presented, which showed good approximation accuracy, which is achieved due to the proposed method for separating the coupled problems of micro- and macroscopic deformation.
Key words: layered composites / transversally isotropic / asymptotic homogenization / numerical simulation / elastic constants
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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