PSI - Issue 65

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2024) 000–000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2024) 000–000

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Procedia Structural Integrity 65 (2024) 56–65

The 17th International Conference on MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS 2023) Determination of the elastic state and structure of an initially anisotropic medium based on displacement measurements on the surface Anvar Chanyshev a,b, * a Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, 54 Krasniy prospect, Novosibirsk, Russia b Novosibirsk State University of Economics and Management, 52 Kamenskayastreet, Novosibirsk, Russia Abstract This paper addresses the problem of strain of an initially anisotropic elastic half-space with a priori unknown loading conditions at infinite points and unknown internal structure. It is assumed, that no loads act on the surface from above, while the laterally loaded half-space may contain certain cavities (loaded or unloaded) and rigid inclusions, the geometry and applied loads of which need to be reconstructed. Displacements at the boundary and physical - mechanical properties of the half-space material are assumed to be known in the form of the generalized Hooke's law. The problem is considered under the conditions of plane strain. The solution utilizes the potentials developed by S.G. Lekhnitsky. An illustration of the solution is provided for the case of a cylindrical cavity within the half-space, subjected to constant pressure. The position of the cavity and the value of the internal pressure are determined. © 2024 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 MRDMS 2023 organizers Keywords: stress; strain; displacement; half-space; elasticity; initial anisotropy; complex potentials; predictions; structure; state The 17th International Conference on MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS 2023) Determination of the elastic state and structure of an initially anisotropic medium based on displacement measurements on the surface Anvar Chanyshev a,b, * a Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, 54 Krasniy prospect, Novosibirsk, Russia b Novosibirsk State University of Economics and Management, 52 Kamenskayastreet, Novosibirsk, Russia Abstract This paper addresses the problem of strain of an initially anisotropic elastic half-space with a priori unknown loading conditions at infinite points and unknown internal structure. It is assumed, that no loads act on the surface from above, while the laterally loaded half-space may contain certain cavities (loaded or unloaded) and rigid inclusions, the geometry and applied loads of which need to be reconstructed. Displacements at the boundary and physical - mechanical properties of the half-space material are assumed to be known in the form of the generalized Hooke's law. The problem is considered under the conditions of plane strain. The solution utilizes the potentials developed by S.G. Lekhnitsky. An illustration of the solution is provided for the case of a cylindrical cavity within the half-space, subjected to constant pressure. The position of the cavity and the value of the internal pressure are determined. © 2024 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 MRDMS 2023 organizers Keywords: stress; strain; displacement; half-space; elasticity; initial anisotropy; complex potentials; predictions; structure; state © 2024 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 MRDMS 2023 organizers

1. Introduction 1. Introduction

The problem of determining the stress-strain state of loaded rock masses with holes (workings) and inclusions is urgent in mining due to the development of mineral resources (Kozyrev et al. 2019, Saik et al. 2024), where the The problem of determining the stress-strain state of loaded rock masses with holes (workings) and inclusions is urgent in mining due to the development of mineral resources (Kozyrev et al. 2019, Saik et al. 2024), where the

Corresponding author. Tel.: +7-383-205-3030 (716); fax: +7-383-205-3030. E-mail address: a.i.chanyshev@gmail.com Corresponding author. Tel.: +7-383-205-3030 (716); fax: +7-383-205-3030. E-mail address: a.i.chanyshev@gmail.com

2452-3216 © 2024 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 MRDMS 2023 organizers 2452-3216 © 2024 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 MRDMS 2023 organizers

2452-3216 © 2024 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 MRDMS 2023 organizers 10.1016/j.prostr.2024.11.010