<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This article deals with the model of the locally heterogeneous elastic body. The model accounts for long-range interaction and describes near-surface non-homogeneity and related size effects. The key systems of model equations are presented. From the viewpoint of the representative volume element, the boundary condition for density and the limits of applicability of the model are discussed. The difference of mass density in the near-surface body region from the reference value (near-surface mass defect) causes a non-zero stressed state. It is indicated on the strong dependence of the surface value of density from the curvature of the surface of thin fibres. The effect of the near-surface mass defect on the stressed state and the size effect of surface stresses have been investigated on an example of a hollow cylinder. Size effect of its strength has been studied as well.</p></abstract>

This article deals with the model of the locally heterogeneous elastic body. The model accounts for long-range interaction and describes near-surface non-homogeneity and related size effects. The key systems of model equations are presented. From the viewpoint of the representative volume element, the boundary condition for density and the limits of applicability of the model are discussed. The difference of mass density in the near-surface body region from the reference value (near-surface mass defect) causes a non-zero stressed state. It is indicated on the strong dependence of the surface value of density from the curvature of the surface of thin fibres. The effect of the near-surface mass defect on the stressed state and the size effect of surface stresses have been investigated on an example of a hollow cylinder. Size effect of its strength has been studied as well.

Near-Surface Mass Defect in Models of Locally Heterogeneous Solid Mechanics

Faculty of Mechanical Engineering, Institute of Computer Science and Production Management

Mathematical Modeling Department, Mechanical and Mathematical Faculty

Centre of Mathematical Modeling of Ukrainian National Academy of Sciences

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Near-Surface Mass Defect in Models of Locally Heterogeneous Solid Mechanics"}

This article deals with the model of the locally heterogeneous elastic body. The model accounts for long-range interaction and describes near-surface...

Near-Surface Mass Defect in Models of Locally Heterogeneous Solid Mechanics

Published Online: Nov 05, 2019

Page range: 205 - 210

Received: Jul 01, 2019

Accepted: Oct 24, 2019

DOI: https://doi.org/10.2478/ama-2019-0027

Keywords
locally heterogeneous mechanics, RVE, mass defect, size effects, thin fibres

© 2019 Taras Nahirnyj et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Near-Surface Mass Defect in Models of Locally Heterogeneous Solid Mechanics

Published Online: Nov 05, 2019

Page range: 205 - 210

Received: Jul 01, 2019

Accepted: Oct 24, 2019

DOI: https://doi.org/10.2478/ama-2019-0027

Keywordslocally heterogeneous mechanics, RVE, mass defect, size effects, thin fibres

© 2019 Taras Nahirnyj et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
locally heterogeneous mechanics, RVE, mass defect, size effects, thin fibres