PSI - Issue 40

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2022) 000 – 000

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ScienceDirect

Procedia Structural Integrity 40 (2022) 426–432

© 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 scientific committee of the15th International Conference on Mechanics, Resources and Diagnostics of Materials and Structures. Abstract Since the origination of solid mechanics as a scientific discipline, full-scale experiments on loading (deformation) of macro samples of shape and size corresponding to accepted standards have been used as the main tool to establish the laws of material behavior and determine certain physical and mechanical properties of materials. With the development of technologies and widespread miniaturization, experiments begin to be carried out on samples of meso- and micro scales. This leads to the question: below what sample sizes does a significant deviation of the average response of the samples begin? Therefore, authors introduce the definition of a sample representative volume as the minimum volume, when exceeding which the possible deviation of the mean response of the sample to the same load does not exceed the predetermined value. In order to determine representative volume of polycrystalline specimen numerical experiments on compression of polycrystalline specimens were carried out. The initial grain structure of the sample was formed by cutting cube into set of equal cubes, where each represented a grain. Then the grains were approximated by a set of finite elements using the Gmsh software package. In order to directly solve the boundary value problem, a software package was used to implement an algorithm for solving the crystal elastoviscoplastic problem formulated in the rate-form by the finite element method. The resulting curve of the relative (relative to the mean values) standard deviation of stresses monotonously decreases with an increase in the number of grains, and the curve of the mean value has a complex shape with a rapid damping of fluctuations and also seem to reach a constant value. © 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 scientific committee of the15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. P 15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures Multi-level direct crystal plasticity model of polycrystalline specimen: representative volume determination Artyom A. Tokarev*, Anton Yu. Yants Perm National Research Polytechnic University, Perm, Russia, Komsomolsky prospect, 29

* Corresponding author. Tel.: +7-912-487-3238. E-mail address: tokarev28.art@gmail.com

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 scientific committee of the15th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures.

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 scientific committee of the15th International Conference on Mechanics, Resources and Diagnostics

of Materials and Structures. 10.1016/j.prostr.2022.04.057