Version 1
: Received: 11 September 2024 / Approved: 12 September 2024 / Online: 12 September 2024 (09:23:08 CEST)
How to cite:
Słupska, M.; Stopa, R. 3D FEM Modeling of Polish Apple ‘Chopin’: Elastic vs. Elastoplastic Behavior Across Maturity Stages. Preprints2024, 2024090987. https://doi.org/10.20944/preprints202409.0987.v1
Słupska, M.; Stopa, R. 3D FEM Modeling of Polish Apple ‘Chopin’: Elastic vs. Elastoplastic Behavior Across Maturity Stages. Preprints 2024, 2024090987. https://doi.org/10.20944/preprints202409.0987.v1
Słupska, M.; Stopa, R. 3D FEM Modeling of Polish Apple ‘Chopin’: Elastic vs. Elastoplastic Behavior Across Maturity Stages. Preprints2024, 2024090987. https://doi.org/10.20944/preprints202409.0987.v1
APA Style
Słupska, M., & Stopa, R. (2024). 3D FEM Modeling of Polish Apple ‘Chopin’: Elastic vs. Elastoplastic Behavior Across Maturity Stages. Preprints. https://doi.org/10.20944/preprints202409.0987.v1
Chicago/Turabian Style
Słupska, M. and Roman Stopa. 2024 "3D FEM Modeling of Polish Apple ‘Chopin’: Elastic vs. Elastoplastic Behavior Across Maturity Stages" Preprints. https://doi.org/10.20944/preprints202409.0987.v1
Abstract
The paper presents two procedures for creating 3D discrete models of apple using the finite element method (FEM). The study focused on a new Polish apple variety, Chopin at development, ripening, and senescence maturity stages. The analysis of the results allowed for the determination that, depending on the desired outcomes, the parenchymal tissue can be considered as a material with either elastic or elastoplastic properties. Model validation was performed using displacement-force relationships and changes in contact area as a function of loading force obtained from compression tests. Elastoplastic models reflect empirical studies much better. The fit of the elastic models, based on force vs. displacement curves, ranged from 79% to 83%, while the fit of the elastoplastic models to empirical data ranged from 91% to 96%. Elastic models, on the other hand, are well-suited to the modified force vs. displacement curves, which reflect the elastic behavior of apples under compression test. Contour plots of pressures for elastoplastic models align much better with the test results than those for elastic models. 4. Similarly, in the case of contact area values, the elastoplastic models outperformed the elastic models, achieving a fit between 92% and 96%, while the elastic models reached only 82% to 83% compliance.
Keywords
discrete model; FEM; apple; fruit; stage of ripening
Subject
Biology and Life Sciences, Food Science and Technology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.