Abstract
In the previous part of the book, we have presented the scalable algorithms for the solution of some contact problem which comprised elastic bodies, however, these algorithms are also useful for the solution of more general problems.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Han, W., Reddy, B.D.: Plasticity: Mathematical Theory and Numerical Analysis. Springer, New York (1999)
de Souza Neto, E.A., Perić, D., Owen, D.R.J.: Computational Methods for Plasticity, Theory and Applications. Wiley, West Sussex (2008)
Čermák, M., Sysala, S.: Total-FETI method for solving contact elasto-plastic problems. LNCSE 98, 955–965 (2014)
Čermák, M.: Scalable algorithms for solving elasto-plastic problems. Ph.D. thesis, VŠB-TU Ostrava (2012)
Qi, L., Sun, J.: A nonsmooth version of Newton’s method. Math. Program. 58, 353–367 (1993)
Čermák, M., Kozubek, T., Sysala, S., Valdman, J.: A TFETI domain decomposition solver for elastoplastic problems. Appl. Math. Comput. 231, 634–653 (2014)
Kienesberger, J., Langer, U., Valdman, J.: On a robust multigrid-preconditioned solver for incremental plasticity. In: Blaheta, R., Starý, J.(eds.) Proceedings of IMET 2004 – Iterative Methods, Preconditioning & Nummerical PDE, pp. 84–87. Institute of Geonics AS CR (2004)
Kozubek, T., Markopoulos, A., Brzobohatý, T., Kučera, R., Vondrák, V., Dostál, Z.: MatSol–MATLAB efficient solvers for problems in engineering (2015). http://industry.it4i.cz/en/products/matsol/
Yagawa, G., Soneda, N., Yoshimura, S.: A large scale finite element analysis using domain decomposition method on a parallel computer. Comput. Struct. 38(5–6), 615–625 (1991)
Carstensen, C.: Domain decomposition for a non-smooth convex minimization problem and its application to plasticity. Numer. Linear Algebr. Appl. 4(3), 177–190 (1997)
Čermák, M., Haslinger, J., Kozubek, T., Sysala, S.: Discretization and numerical realization of contact problems for elastic-perfectly plastic bodies. PART II - numerical realization, limit analysis. ZAMM -. J. Appl. Math. Mech. 95(12), 1348–1371 (2015)
Sysala, S., Haslinger, J., Hlaváček, I., Čermák, M.: Discretization and numerical realization of contact problems for elastic-perfectly plastic bodies. PART I - discretization, limit analysis. ZAMM -. J. Appl. Math. Mech. 95(4), 333–353 (2015)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media LLC
About this chapter
Cite this chapter
Kozubek, T. (2016). Contact with Plasticity. In: Scalable Algorithms for Contact Problems. Advances in Mechanics and Mathematics, vol 36. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-6834-3_17
Download citation
DOI: https://doi.org/10.1007/978-1-4939-6834-3_17
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-6832-9
Online ISBN: 978-1-4939-6834-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)