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https://doi.org/10.21256/zhaw-27579| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | Finite extension of accreting nonlinear elastic solid circular cylinders |
| Authors: | Yavari, Arash Safa, Yasser Soleiman Fallah, Arash |
| et. al: | No |
| DOI: | 10.1007/s00161-023-01208-w 10.21256/zhaw-27579 |
| Published in: | Continuum Mechanics and Thermodynamics |
| Issue Date: | 20-Mar-2023 |
| Publisher / Ed. Institution: | Springer |
| ISSN: | 0935-1175 1432-0959 |
| Language: | English |
| Subjects: | Additive manufacturing; Aerospace; Nonlinear elasticity; Metallurgy |
| Subject (DDC): | 660: Chemical engineering 670: Manufacturing |
| Abstract: | In this paper we formulate and solve the initial-boundary value problem of accreting circular cylindrical bars under finite extension. We assume that the bar grows by printing stress-free cylindrical layers on its boundary cylinder while it is undergoing a time-dependent finite extension. Accretion induces eigenstrains, and consequently residual stresses. We formulate the anelasticity problem by first constructing the natural Riemannian metric of the growing bar. This metric explicitly depends on the history of deformation during the accretion process. For a displacement-control loading during the accretion process we find the exact distribution of stresses. For a force-control loading, a nonlinear integral equation governs the kinematics. After unloading there are, in general, a residual stretch and residual stresses. For different examples of loadings we numerically find the axial stretch during loading, the residual stretch, and the residual stresses. We also calculate the stress distribution, residual stretch, and residual stresses in the setting of linear accretion mechanics. The linear and nonlinear solutions are numerically compared in a few accretion examples. |
| URI: | https://imechanica.org/files/AccretingCylindersYa2022.pdf https://digitalcollection.zhaw.ch/handle/11475/27579 |
| Fulltext version: | Accepted version |
| License (according to publishing contract): | Licence according to publishing contract |
| Restricted until: | 2024-03-20 |
| Departement: | School of Engineering |
| Organisational Unit: | Institute of Computational Physics (ICP) |
| Published as part of the ZHAW project: | Nonlinear Thermo-Mechanics of Surface Growth for Additive Manufacturing Applications |
| Appears in collections: | Publikationen School of Engineering |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2023_Yavari-etal_Finite-extension-of-accreting-nonlinear-elastic-solid-circular-cylinders.pdf | Accepted Version | 916.54 kB | Adobe PDF |  View/Open |
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Yavari, A., Safa, Y., & Soleiman Fallah, A. (2023). Finite extension of accreting nonlinear elastic solid circular cylinders. Continuum Mechanics and Thermodynamics. https://doi.org/10.1007/s00161-023-01208-w
Yavari, A., Safa, Y. and Soleiman Fallah, A. (2023) ‘Finite extension of accreting nonlinear elastic solid circular cylinders’, Continuum Mechanics and Thermodynamics [Preprint]. Available at: https://doi.org/10.1007/s00161-023-01208-w.
A. Yavari, Y. Safa, and A. Soleiman Fallah, “Finite extension of accreting nonlinear elastic solid circular cylinders,” Continuum Mechanics and Thermodynamics, Mar. 2023, doi: 10.1007/s00161-023-01208-w.
YAVARI, Arash, Yasser SAFA und Arash SOLEIMAN FALLAH, 2023. Finite extension of accreting nonlinear elastic solid circular cylinders. Continuum Mechanics and Thermodynamics [online]. 20 März 2023. DOI 10.1007/s00161-023-01208-w. Verfügbar unter: https://imechanica.org/files/AccretingCylindersYa2022.pdf
Yavari, Arash, Yasser Safa, and Arash Soleiman Fallah. 2023. “Finite Extension of Accreting Nonlinear Elastic Solid Circular Cylinders.” Continuum Mechanics and Thermodynamics, March. https://doi.org/10.1007/s00161-023-01208-w.
Yavari, Arash, et al. “Finite Extension of Accreting Nonlinear Elastic Solid Circular Cylinders.” Continuum Mechanics and Thermodynamics, Mar. 2023, https://doi.org/10.1007/s00161-023-01208-w.
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