EPJ Web Conf.
Volume 221, 2019XXVI Conference on Numerical Methods for Solving Problems in the Theory of Elasticity and Plasticity (EPPS-2019)
|Number of page(s)||10|
|Published online||30 October 2019|
The development of the formalism of movable cellular automata for modeling the nonlinear mechanical behavior of viscoelastic materials
Institute of Strength Physics and Materials Science SB RAS, 2/4 pr. Akademicheskii, 634055 Tomsk, Russian Federation
2 National Research Tomsk State University, 36 Lenin ave., 634050 Tomsk, Russian Federation
* Corresponding author: email@example.com
Published online: 30 October 2019
The paper is devoted to the development of the formalism of the computational method of discrete elements (DEM) for describing the mechanical behavior of consolidated viscoelastic materials. We considered an advanced implementation of DEM, namely, the method of movable cellular automata (MCA). A feature of this implementation of DEM is the use of a generalized many-body formulation of the relations for the forces of element-element interaction. 3D numerical models of viscoelastic material with a spectrum of relaxation times (Kelvin and Maxwell models, the standard model of elastomers, and others) were developed within the formalism of MCA. The correctness of the developed discrete element formalism and its applicability for modeling the processes of deformation and fracture of viscoelastic materials under dynamic loading are shown using the standard model of elastomers as an example. The relevance of the results is determined by the prospects for the further development of DEM and its application to study and predict the mechanical response of viscoelastic materials of various nature under dynamic loading including contact problems.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.