<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The influence of impulse load applied for different duration on the distribution of normalised dynamic radial stresses in positive and negative Poisson’s ratio medium was investigated in this study. For solving the non-stationary problem in the case of plane deformation for structurally inhomogeneous materials, the model of Cosserat continuum was applied. This model enables accounting for the influence of shear-rotation deformation of micro-particles of the medium. In the framework of Cosserat elasticity, on applying the Fourier transforms for time variable and developing the boundary integral equation method, solving of the non-stationary problem reduces to the system of singular integral equations, where the components that determine the influence of shear-rotation deformations are selected. The numerical calculations were performed for the foam medium with positive and negative Poisson’s ratio for different values of time duration of impulse. Developed approach can be used to predict the mechanical behaviour of foam auxetic materials obtained at different values of a volumetric compression ratio under the action of time variable load based on analysis of the distribution of radial stresses in foam medium.</p></abstract>

The influence of impulse load applied for different duration on the distribution of normalised dynamic radial stresses in positive and negative Poisson’s ratio medium was investigated in this study. For solving the non-stationary problem in the case of plane deformation for structurally inhomogeneous materials, the model of Cosserat continuum was applied. This model enables accounting for the influence of shear-rotation deformation of micro-particles of the medium. In the framework of Cosserat elasticity, on applying the Fourier transforms for time variable and developing the boundary integral equation method, solving of the non-stationary problem reduces to the system of singular integral equations, where the components that determine the influence of shear-rotation deformations are selected. The numerical calculations were performed for the foam medium with positive and negative Poisson’s ratio for different values of time duration of impulse. Developed approach can be used to predict the mechanical behaviour of foam auxetic materials obtained at different values of a volumetric compression ratio under the action of time variable load based on analysis of the distribution of radial stresses in foam medium.

Modelling of Impulse Load Influence on the Stress State of Foam Materials with Positive and Negative Poisson’s Ratio

Faculty of Mechanical Engineering, Department of Mechanics and Applied Computer Science

Faculty of Architecture, Construction and Design, Department of Applied Mathematics and Mechanics

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The influence of impulse load applied for different duration on the distribution of normalised dynamic radial stresses in positive and negative Poisson’s ratio...

Modelling of Impulse Load Influence on the Stress State of Foam Materials with Positive and Negative Poisson’s Ratio

Published Online: Jul 24, 2020

Page range: 79 - 83

Received: Dec 03, 2019

Accepted: May 26, 2020

DOI: https://doi.org/10.2478/ama-2020-0011

Keywords
Stress state, Foam, Poisson’s ratio, Cosserat elasticity

© 2020 Heorhiy Sulym et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Modelling of Impulse Load Influence on the Stress State of Foam Materials with Positive and Negative Poisson’s Ratio

Published Online: Jul 24, 2020

Page range: 79 - 83

Received: Dec 03, 2019

Accepted: May 26, 2020

DOI: https://doi.org/10.2478/ama-2020-0011

KeywordsStress state, Foam, Poisson’s ratio, Cosserat elasticity

© 2020 Heorhiy Sulym et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Stress state, Foam, Poisson’s ratio, Cosserat elasticity