Issue |
E3S Web Conf.
Volume 273, 2021
XIV International Scientific and Practical Conference “State and Prospects for the Development of Agribusiness - INTERAGROMASH 2021”
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Article Number | 07019 | |
Number of page(s) | 8 | |
Section | Agricultural Machinery | |
DOI | https://doi.org/10.1051/e3sconf/202127307019 | |
Published online | 22 June 2021 |
Stretching of the mechanical-geometric model and two common nonlinear elastic solids
Don State Technical University, 1, Gagarina sq., 344003, Rostov-on-Don, Russia
* Corresponding author: danila_az@mail.ru
The variety of hyperelastic materials and the design of new modifications and technical applications requires the development of a description of nonlinear deformation properties. The most commonly used constitutive relations of the Mooney-Rivlin and Yeoh models are based on polynomial decompositions. Mechanical-geometric modeling (hereinafter - MGM) is a new way of constructing constitutive relations and strain energy densities within the nonlinear theory of elasticity. In this paper, a comparison of the deformation behavior of MGM with the traditional Mooney-Rivlin and Yeoh models was carried out. Comparative analysis is accompanied by diagrams for uniaxial and biaxial stretching. The effectiveness of the new model was proved.
© The Authors, published by EDP Sciences, 2021
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