PSI - Issue 36

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

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Procedia Structural Integrity 36 (2022) 394–400

© 2022 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 conference Guest Editors Abstract The experimental setup developed for investigation of the normal adhesive contact is described. The results of the experiments concerning the indentation of the spherical and cylindrical indenters into the rubber substrate are discussed. Obtained experimental results were compared with theory and simulations for half-space. As it follows from the performed experiments the thickness of the elastomer must exceed several times the size of the contact area in order to use half-space approximation. © 2022 The Autho rs. 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 conference Guest Editors Keywords: adhesion; crack propagation; stick-slip; elastomer; friction force; superplasticity; grain boundary 1. Introduction Most of the physical problems that involve mechanical contact between two bodies with exact analytical solution are solved within elastic half-space approximation. According to (Popov, 2010) if the surface of the elastic body with the size D is affected by the elastic stress, related strain and stress that occur within the body are mostly concentrated within the volume D 3 . Namely if a cylinder with the diameter D indented into the elastic body, the strain in three directions will occur in the body with the average size of every such direction approximately equal D . Strains that occur outside of the volume D 3 are neglectable, therefore volume of the body D 3 gives main contribution in the elastic energy and contact force (Popov, 2010). Thus, if thickness of the elastic plate exceeds the diameter of 1st Virtual International Conference “In service Damage of Materials: Diagnostics and Prediction” The effects of half-space approximation and thickness of the contact bodies on the normal contact force: experiment and simulations Iakov Lyashenko a,b,* , Vadym Borysiuk b a Berlin University of Technology, Berlin 10623, Germany b Sumy State University, Sumy 40007, Ukrain Abstract The experimental setup developed for investigation of the normal adhesive contact is described. The results of the experiments conc rning the indentation f the spherical and cylindrical indent rs int the rubber substrat are discuss d. Obtained experimental r sults were compared with theory and simulations for half-space. As it follows from the performed experime ts the th ck ess of the elastomer must exceed several times the s ze of the contact area in order to use half-space approximation. © 2022 The Aut o rs. 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 responsibility of t conference Guest Editors K ywords: adhesion; crack propagati n; stick-slip; lastomer; friction force; superplasticity; grain boundary 1. Introduction Most of the physical problems that involve mechanical contact between two bodies with exact analytical solution are s lved within elastic half-space appr ximation. A cordi g to (Popov, 2010) if the surface of the el stic body with the size D is ffe ted by th elastic stress, related strain and stress that occur within the body re mostl concentrated within th volume D 3 . Namely if a cy inder with the diameter D indented into elastic body, the strain in three d rections wi l occur in the body with the average size of ev ry such irectio approxima ely equal D . Str i s that occur outside of the volume D 3 are neglectable, therefor volume of t e body D 3 gives main contribution in the elas ic energy an c ntact f rce (Popov, 2010). Thus, if thickness of the elastic plate exc eds the diameter f 1st Virtual International Conference “In service Damage of Materials: Diagnostics and Prediction” The effects of half-space approximation and thickness of the contact bodies on the normal contact force: experiment and simulations Iakov Lyashenko a,b,* , Vadym Borysiuk b a Berlin University of Technology, Berlin 10623, Germany b Sumy State University, Sumy 40007, Ukraine

* Corresponding author. Tel.: +49-159-0848-3459 E-mail address: i.liashenko@tu-berlin.de * Corresponding author. Tel.: +49-159-0848-3459 E-mail address: i.liashenko@tu-berlin.de

2452-3216 © 2022 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 conference Guest Editors 2452-3216 © 2022 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 responsibility of t conference Guest Editors

2452-3216 © 2022 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 conference Guest Editors 10.1016/j.prostr.2022.01.051