The effects of heterogeneous mechanical properties on the response of a ductile material
File(s)
Published version
Author(s)
Song, Yichi
Schiffer, andreas
Tagarielli, Vito
Type
Journal Article
Abstract
We investigate numerically the small-strain, elastic-plastic response of statistically isotropic materials with non-uniform spatial distributions of mechanical properties.The numerical predictions are compared to simple bounds derived analytically. We explore systematically the effects of heterogeneity on the macroscopic stiffness, strength, asymmetry, stabilityand size dependence. Monte Carlo analyses of the response of statistical volume elements are conducted at different strain triaxiality using computational homogenisation, and allow exploring the macroscopic yield behaviour of the heterogeneous material. We illustrate quantitatively how the pressure-sensitivity of the yield surface of the solid increases with heterogeneity in the elastic response. We use the simple analytical models developed here to derive an approximate scaling law linking the fatigue endurance threshold of metallic alloys to their stiffness, yield strength and tensile strength.
Date Issued
2021-09-13
Date Acceptance
2021-08-25
Citation
Scientific Reports, 2021, 11, pp.1-17
ISSN
2045-2322
Publisher
Nature Publishing Group
Start Page
1
End Page
17
Journal / Book Title
Scientific Reports
Volume
11
Copyright Statement
© The Author(s) 2021. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Identifier
https://www.nature.com/articles/s41598-021-97495-x
Subjects
Science & Technology
Multidisciplinary Sciences
Science & Technology - Other Topics
REPRESENTATIVE VOLUME ELEMENT
SIZE
MICROMECHANICS
RANDOMNESS
Publication Status
Published
Date Publish Online
2021-09-13