Cite

K.J. Bathe. Finite Element Procedures. Prentice Hall, 2006 Search in Google Scholar

J. Necas, I. Hlavacek, Mathematical Theory of Elastic and Elasto-Plastic Bodies. An Introduction, Elsevier, 1981. Search in Google Scholar

E.A. de Souza Neto, D. Peric ì, D.R.J. Owen, Computational Methods for Plasticity: Theory and Application, Wiley, 2008. Search in Google Scholar

J.N. Reddy, An Introduction to the Finite Element Method; McGraw-Hill Education: New York, NY, USA, 1993. Search in Google Scholar

Y. Fragakis, M. Papadrakakis, The mosaic of high performance do-main decomposition methods for structural mechanics: formula-tion, interrelation and numerical efficiency of primal and dual methods. Comput. Methods Appl. Mech. Eng. 192, pp. 3799-3830, 2003. Search in Google Scholar

A. Popp, M. Gitterle, M.W. Gee and W.A. Wall. A dual mortar approach for 3D finite deformation contact with consistent linearization. Int. J. Numer. Meth. Eng 83, pp. 1428-1465, 2010. Search in Google Scholar

C. Farhat, F.-X. Roux, A method of finite element tearing and inter-connecting and its parallel solution algorithm, Int. J. Numer. Methods Eng. 32, 1205–1227, 1991. Search in Google Scholar

V. Hapla, D. Horák, L. Pospíšil, M. Čermák, A. Vašatová, R. Sojka, Solving Contact Mechanics Problems with PERMON. In High Per-formance Computing in Science and Engineering; Kozubek, T., Blaheta, R., Šístek, J., Rozložník, M. Čermák, M., Eds.; Springer In-ernational Publishing: Zurich, Switzerland, pp. 101-115, 2016. Search in Google Scholar

Z. Dostál, D. Horák, R. Kucera, V. Vondrák, J. Haslinger, J. Dobiáš, S. Pták. FETI based algorithms for contact problems: Scalability, large displacements and 3D coulomb friction. Comput. Methods Appl. Mech. Eng., 194, pp. 395-409, 2005. Search in Google Scholar

Z. Dostál, T. Kozubek, A. Markopoulos, T. Brzobohaty, V. Vondrák, P. Horyl. Theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction, Comput. Methods Appl. Mech. Eng. 205, pp. 110-120, 2012. Search in Google Scholar

MA. Puso. A 3D mortar method for solid mechanics. International Journal for Numerical Methods in Engineering 59, pp. 315-336, 2004. Search in Google Scholar

A. Popp, M.W. Gee, and W.A. Wall. A primal-dual active set strategy for finite deformation dual mortar contact. In Recent Advances in Contact Mechanics. Springer Berlin Heidelberg, 2013. Search in Google Scholar

T. Krenicky, L. Hrebenyk, V. Chernobrovchenko. Application of Concepts of the Analytic Hierarchy Process in Decision-Making Management Systems in Production Engineering. 2022, Volume 30, Issue 4. pp. 304-310. doi: 10.2478/mspe-2022-0039. Search in Google Scholar

The MathWorks, Inc. MATLAB R2021b [software], official webpage. http://www.mathworks.com, 2022. Accessed: 2022-07-22 Search in Google Scholar

ANSYS, Inc. ANSYS mechanical [software], official webpage. http://www.ANSYS.com, 2022. Accessed: 2022-07-22. Search in Google Scholar

Z. Dostál, Optimal Quadratic Programming Algorithms, with Applications to Variational Inequalities, volume 23. SOIA, Springer, New York, US, 2009. Search in Google Scholar

J. Hlaváček, J. Haslinger, J. Nečas, and J. Lovíšek. Solution of Variational Inequalities in Mechanics. Springer Verlag, Berlin, 1988. Search in Google Scholar

Z. Dostál, D. Horák, R. Kučera. Total FETI-an easier implementable variant of the FETI method for numerical solution of elliptic PDE. Communications in Numerical Methods in Engineering, 22(12), June 2006. Search in Google Scholar

J.A. Bondy U.S.R. Murty. Graph Theory with Applications. American Elsevier Pub. Co., New York, 1976. Search in Google Scholar

T. Světlík, R. Varga, L. Pospíšil, M. Čermák. Interface between ANSYS and MATLAB for solving elastic problems with non-conforming meshes. Conference ICNAAM 2022, accepted for publication. Search in Google Scholar

M. Čermák, S. Sysala, J. Valdman. Efficient and flexible MATLAB implementation of 2D and 3D elastoplastic problems. Appl. Math. Comput, 355, pp. 595-614, 2019. Search in Google Scholar