Back to Search
Start Over
The development of the formalism of movable cellular automata for modeling the nonlinear mechanical behavior of viscoelastic materials
- Source :
- EPJ Web of Conferences, Vol 221, p 01052 (2019)
- Publication Year :
- 2019
- Publisher :
- EDP Sciences, 2019.
-
Abstract
- 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.
- Subjects :
- Correctness
Computer science
Physics
QC1-999
0211 other engineering and technologies
02 engineering and technology
Numerical models
Mechanics
Cellular automaton
Viscoelasticity
Nonlinear system
Formalism (philosophy of mathematics)
020303 mechanical engineering & transports
0203 mechanical engineering
Dynamic loading
021101 geological & geomatics engineering
Subjects
Details
- Language :
- English
- Volume :
- 221
- Database :
- OpenAIRE
- Journal :
- EPJ Web of Conferences
- Accession number :
- edsair.doi.dedup.....389c44eb8f009f5c107aec67550496dd