PSI - Issue 32

ScienceDirect Available online at www.sciencedirect.com Sci nceDirect Structural Integrity Procedia 00 (2021) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2021) 000 – 000 Available online at www.sciencedirect.com

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 32 (2021) 313–320

© 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics” Abstract The buckling problem for a nonlinearly elastic circular rod with a coating is studied in the case of axial compression under external hydrostatic pressure. It is assumed that the coating was pre-deformed and contains initial (residual) stresses. Both the rod and the coating areassumed to be made of materials with a complex microstructure such as, for example, metal or polymer foams. To take into account the microstructure influence, the Cosserat continuum model is used for describing the behavior of the considered composite structure. The linearized equilibrium equations are derived in the case of a physically linear micropolar material. By solving them the stability regions are constructed in the plane of loading parameters for rods of different sizes and coatings of various thicknesses. Extensive analysis has been carried out for the influence of initial deformations of the coating on the buckling of circular micropolar rods subjected to combined loading. © 2021 The Authors.Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license ( https://creativecommons.org/licenses/by-nc-nd/4.0 ) Peer- review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics” Keywords: nonlinear elasticity; Cosserat continuum; deformation stability; composite structure; internal stresses; circular rod; combined loading 1. Introduction When analyzing the stability of modern composite rods with a complex structure, it is important, among other things, to take into account the influence of internal stresses. Prestressed inclusions can form during composite assembly due to the plastic strains, heating, phase transitions, etc., or can be created artificially. In this paper, we study the buckling of a common structural element – a circular rod with a prestressed coating. A distinctive feature XXIIth Winter School on Continuous Media Mechanics Influence of initial (residual) stresses in the coating on the stability of a circular micropolar rod Denis N. Sheydakov a, *, Irina B. Mikhailova a a Southern Scientific Centre of Russian Academy of Sciences (SSC RAS), Chekhov Ave. 41, Rostov-on-Don 344006, Russia Abstract The buckling problem for a nonlinearly elastic circular rod with a coating is studied in the case of axial compression under ext rnal hydrostatic pressure. It is assumed that the oating was pre-def rmed and contains initial (residual) stresses. Both the rod and the coating reassumed to be made of materials wi h a complex microstructure such a , for example, metal or polymer foams. To ake in o account th microstructure influence, the Cosserat continuum model is u ed for describing the behavio f the c nsid red comp site structure. The lin arized equilibrium equations are derive in the case of a physically lin ar micr polar material. By solving them the stability r gions are construct d in the plane of load g param ters for rods of d ff rent sizes and coatings of various thickness s. Extensive analysis has been carried out for the influence of ini ial defo mati ns o the coating on the buckling of circular micropolar rods subjected to combi ed loa ing. © 2021 The Authors.Publ shed by ELSEVIER B.V. This is an open access art cle under the CC BY-NC-ND license ( https://creativecommons.org/licenses/by-nc-nd/4.0 ) Peer- review u der re ponsibility of scientific committe of the XXIIth Winter School on Continuous Media Mechanics” K ywords: nonlinear elasticity; Cosserat continuum; defor ation stability; composite structure; internal stresses; circular rod; combined loading 1. Introduction When analyzing the stability of modern composite rods with a complex structure, it is important, among other things, to take to account the influence of internal stresses. Prestress d inclusions can form during composite assembly due to he plastic s rains, h ating, phas tran itions, etc., o can be reated artificially. In this paper, w study the b ckling of a common structural element – a circular rod with a pr st ss coat ng. A distinctive f atur XXIIth Winter School on Continuous Media Mechanics Influence of initial (residual) stresses in the coating on the stability of a circular micropolar rod Denis N. Sheydakov a, *, Irina B. Mikhailova a a Southern Scientific Centre of Russian Academy of Sciences (SSC RAS), Chekhov Ave. 41, Rostov-on-Don 344006, Russia

* Corresponding author. Tel.: +7-863-250-9810; fax: +7-863-266-5677. E-mail address: sheidakov@mail.ru * Corresponding author. Tel.: +7-863-250-9810; fax: +7-863-266-5677. E-mail ad ress: sheidakov@mail.ru

2452-3216 © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license ( https://creativecommons.org/licenses/by-nc-nd/4.0 ) Peer-review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics” 2452-3216 © 2021 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license ( https://creativecommons.org/licenses/by-nc-nd/4.0 ) Peer-review u der re ponsibility of t scientific committe of the XXIIth Winter School on Continuous Media Mechanics”

2452-3216 © 2021 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the scientific committee of the XXIIth Winter School on Continuous Media Mechanics” 10.1016/j.prostr.2021.09.045