PSI - Issue 28

ScienceDirect Structural Integrity Procedia 00 (2019) 000–000 Structural Integrity Procedia 00 (2019) 000–000 Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Available online at www.sciencedirect.com ScienceDirect

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

Procedia Structural Integrity 28 (2020) 1303–1309

1st Virtual European Conference on Fracture Effects of dynamic deformation and fracture in the Klein – Gordon stress field 1st Virtual European Conference on Fracture Effects of dynamic deformation and fracture in the Klein – Gordon stress field

Liudmila Igusheva a, *, Yuri Petrov a,b a St.-Petersburg State University, St.-Petersburg 198504, Russia b Institute of Problems of Mechanical Engineering, St.-Petersburg 199178, Russia Liudmila Igusheva a, *, Yuri Petrov a,b a St.-Petersburg State University, St.-Petersburg 198504, Russia b Institute of Problems of Mechanical Engineering, St.-Petersburg 199178, Russia

© 2020 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 European Structural Integrity Society (ESIS) ExCo Abstract The interaction of a constant cross-section rod with an elastic environment under dynamic loading is considered. The directly proportional to the displacement resistance forces impacted on the rod. Elastic and viscoelastic one-dimensional models describing longitudinal vibrations occurring in a rod located in the environment are developed. Numerical analysis of deformations and stresses in the rod in an elastic environment is performed, and deformation profiles in specific sections of the rod are calculated. The wave propagation and reflection from the free boundary of a finite-length rod are considered. The obtained results are compared with the experimental data and classical models of longitudinal vibrations of rods. A good correspondence of the calculation results with experimental data was revealed. Calculations describing the fracture of the rod are performed, and the possibility of spall fracture is shown. Fracture phenomenon is predicted by the incubation time criterion. In several special cases, the dependence of the threshold value of the load amplitude on the duration of the load is found. © 2020 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 European Structural Integrity Society (ESIS) ExCo Keywords: dynamic fracture; rods in the media; longitudinal vibrations; one-dimensional problem. 1. Introduction Often, the environment has a significant impact on the properties of bodies in contact with the environment, so it is important to predict the behavior of bodies interacting with different environments, and to study the results of this interaction. Abstract The interaction of a constant cross-section rod with an elastic environment under dynamic loading is considered. The directly propor ional to the displacement re i tance forces imp cted on th rod. Elastic a viscoelastic ne-dimensional mo els d scribing longitudi l vibrations o curring in a rod l ated in th environment re developed. Numerical analy is of deformations a d stresses the rod n an elastic environment is p rformed, a d deformation profi es in specific sections of the rod a e calculated. Th wave propagat on and reflection fro the fre b undary of a finite-length rod are con idered. The btained results are compared with the xperimental data and lassical odels of l ngitudinal vibrations of rods. A g od co respondence of th calculation results exp rimental data was reve led. Calculati ns describing the fracture of the rod are performed, and the possibility of pall fracture is shown. Fracture ph nomenon is predicte by the incubation time crit rion. In several speci l cases, the dependence of the th shold value of the load amplitude on the duration of the load is found. © 2020 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 European Structural Integri y So i ty (ESIS) ExCo Keywords: dynamic fracture; rods in the media; longitudinal vibrations; one-dimensional problem. 1. Introduction Often, the environment has a significant impact on the properties of bodies in contact with the environment, so it is importa t to predict th be avior of bodies interacting with diff rent env ronments, and o study the results of th nteraction.

* Corresponding author. Tel.: +7-911-294-5258. E-mail address: igusheva15@gmail.com (L. Igusheva) * Corresponding author. Tel.: +7-911-294-5258. E-mail address: igusheva15@gmail.com (L. Igusheva)

2452-3216 © 2020 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 European Structural Integrity Society (ESIS) ExCo 2452-3216 © 2020 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 European Structural Integrity Society (ESIS) ExCo

2452-3216 © 2020 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 European Structural Integrity Society (ESIS) ExCo 10.1016/j.prostr.2020.10.100