Abstract
Parallel program systems for numerical solution of 2D and 3D problems of the dynamics of deformable media with constitutive relationships of rather general form on the basis of universal mathematical model describing small strains of elastic, elastic-plastic and granular materials are worked out. Computational algorithm is based on the splitting methods with respect to physical processes and spatial variables. Some computations of dynamic problems with and without taking into account the moment properties of a material were performed on clusters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Cosserat, E., Cosserat, F.: Théorie des Corps Déformables. In: Chwolson, O.D. (ed.) Traité Physique, Librairie Scientifique, pp. 953–1173. A. Hermann et Fils, Paris (1909)
Kulikovskii, A.G., Pogorelov, N.V., Semenov, A.Y.: Mathematical Aspects of Numerical Solution of Hyperbolic Systems. Monographs and Surveys in Pure and Applied Mathematics, vol. 118. Chapman & Hall/CRC, Boca Raton, London (2001)
Marchuk, G.I.: Splitting Methods. Nauka, Moscow (1988) (in Russian)
Sadovskaya, O., Sadovskii, V.: Mathematical Modeling in Mechanics of Granular Materials. Advanced Structured Materials, vol. 21. Springer, Heidelberg (2012)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Sadovskaya, O.V. (2013). Parallel Program Systems for Problems of the Dynamics of Elastic-Plastic and Granular Media. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2012. Lecture Notes in Computer Science, vol 8236. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41515-9_53
Download citation
DOI: https://doi.org/10.1007/978-3-642-41515-9_53
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41514-2
Online ISBN: 978-3-642-41515-9
eBook Packages: Computer ScienceComputer Science (R0)