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 ScienceD rect Available online at www.sciencedirect.com ScienceDirect

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

Procedia Structural Integrity 28 (2020) 352–357

© 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 Engineering practice demands the solving of the inverse problems of fracture mechanics, with this aim, it is necessary to get an analytical solution of the corresponding direct problem. So, in this paper, research was made considering a twice-truncated elastic cone with a spherical crack inside in steady state torsional oscillation. As a result of the problem solving the eigen frequency values and dynamical stress intensity factor were investigated for different parameters of the cone and crack. The boundary resonance effect was found and analyzed; this gives the opportunity to use the derived results during nondestructive testing of the elastic body. The solution is constructed as the superposition of a continuous solution (the problem for an elastic cone without a crack under dynamical torsion), and a discontinuous one (the problem for a spherical crack). The former solution was derived with a great contribution from the G. Ya. Popov results [G. Ya. Popov, 1982]. The wave field of an elastic twice truncated cone was investigated. The eigen frequencies were calculated for different cone’s and crack’s geometrical parameters. The investigation demonstrated the fact of boundary resonance which is commonly used in the inverse problems of fracture mechanics. © 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: Steady state oscillations; Twice truncated cone; Spherical crack; Eigen frequencies; Boundary resonance Abstract Engineering practice demands the solving of the inverse problems of fracture mechanics, with this aim, it is necessary to et an analyti al solutio of the corresp nding direct . So, in his paper, research was made considering a wic -trunc ted elastic cone with a spherical crack inside in steady state tors on l oscillation. As result of the problem solving the eigen frequency values and dynami al stress i tensit factor were investig ted for diff rent parameters of the cone and crack. The boundary resona ce effect was found and analyz d; thi iv s the opportunity to use the derived results during nondestructive testi g of th elastic body. The solution is constructed as the superposition of a continuou solution (the problem for an elastic con without a crack under dynamical torsion), and a disconti u us one (the problem for a s herical crack). The former solution was derive with gre t c ntribution from the G. Ya. Popov results [G. Ya. Popov, 1982]. The wave field f an elastic twice truncated cone was investigated. The eigen frequencies were calculated for different cone’s and crack’s geometrical parameters. The investigation demonstrat d th fact of boundary resonance which is commonly used in th inv rse proble s of fracture mech nics. © 2020 The A thors. 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 th European Structural Integri y Society (ESIS) ExCo Keywords: Stea y state oscillations; Twice truncated cone; Spherical crack; Eigen frequencies; Boundary resonance 1st Virtual European Conference on Fracture The dynamical stress concentration near a spherical crack in a twice-truncated elastic cone K.Mysov a, *, N. Vaysfeld b a PhD student, Department of Mathematicas, Physics and IT, Odesa Mechnikov University, Dvoryanskaya str., 2, Odessa, 65082, Ukraine b Dr. of Sc., Prof., Department of Mathematics, Physics and IT, Odesa Mechnikov University, Dvoryanskaya str., 2, Odessa, 65082, Ukraine 1st Virtual European Conference on Fracture The dynamical stress concentration near a spherical crack in a twice-truncated elastic cone K.Mysov a, *, N. Vaysfeld b a PhD student, Department of Mathematicas, Physics and IT, Odesa Mechnikov University, Dvoryanskaya str., 2, Odessa, 65082, Ukraine b Dr. of Sc., Prof., Department of Mathematics, Physics and IT, Odesa Mechnikov University, Dvoryanskaya str., 2, Odessa, 65082, Ukraine

* Corresponding author. Tel.: +38 068 274 0227. E-mail address: kmysov2309@gmail.com * Corresponding author. Tel.: +38 068 274 0227. E-mail address: kmysov2309@gmail.com

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.2020.10.041