>> Links to some recent preprints or publications of Prague's MULTIMAT team (mathematical modelling branch) related to mathematical or computational modelling of SMAs

>> General overview:

1. T.Roubíček: Models of microstructure evolution in shape memory alloys. In: Nonlinear Homogenization and its Appl.to Composites, Polycrystals and Smart Materials. (Eds. P.Ponte Castaneda, J.J.Telega, B.Gambin), NATO Sci. Series II/170, Kluwer, Dordrecht, 2004, pp.269-304. (... and some slides)
2. T.Roubíček, Models of martensitic transformation in shape-memory alloys. In: Proc. 5th Intl. Conf. Nonlinear Mechanics (ICNM V), Shanghai Univ. Press, Shanghai, 2007, 1584-1591.
3. T.Roubíček: Approximation in multiscale modelling of microstructure evolution in shape-memory alloys. Annals of Oper. Res., submitted.

>> Models based on conventional PDEs or inequalities in continuum mechanics (sometimes called microscopical):

1. T.Roubíček, G.Tomassetti: Thermodynamics of shape-memory alloys under electric current. (Preprint No.622 Universita Rome II "Tor Vergata") Zeit. angew. Math. Phys., submitted.
2. T.Roubíček: Modelling of thermodynamics of martensitic transformation in shape-memory alloys. (Preprint no.2007-009, Nečas Center for Math. Modeling, Prague) Discrete and Cont. Dynam. Syst. (2007), 892-902.
3. M.Arndt, M.Griebel, V. Novák, T. Roubíček, P.Šittner: Martensitic transformation in NiMnGa single crystals: numerical simulations and experiments. (Preprint No. 223, SFB 611, Universität Bonn.) Int. J. Plasticity, 10 (2006), 1943-1961.
4. M.Arndt, M.Griebel, T.Roubíček: Modelling and numerical simulation of martensitic transformation in shape memory alloys. (Preprint No.26 SFB 611, Uni. Bonn) Continuum Mech. Thermodyn. 15 (2003), 463-485. ZBL:02034125.
5. P.Plecháč, T.Roubíček: Visco-elasto-plastic model for martensitic phase transformation in shape-memory alloys. Math. Methods in the Applied Sciences 25, (2002), 1281-1298. ZBL:1012.35051
6. K.R.Rajagopal, T.Roubíček: On the effect of dissipation in shape-memory alloys. Nonlinear Anal., Real World Applications, 4 (2003), 581-597. ZBL:01915316

>> Models using Young measures (sometimes called mesoscopical):

1. T.Roubíček, M.Kružík, J.Koutný: A mesoscopical model of shape-memory alloys. (Preprint No.2007-014, Necas center, Prague) Proc. Estonian Acad. Sci. Phys. Math. 56 (2007), 146-154.
2. M.Kružík, A.Mielke, T.Roubíček: Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi. (Preprint No.1047, WIAS, Berlin, 2005) Meccanica, 40 (2005), 389-418.
3. T.Roubíček, M.Kružík: Mesoscopic model of microstructure evolution in shape memory alloys, its numerical analysis and computer implementation. 3rd GAMM Seminar on microstructures. (Ed.C.Miehe), GAMM Mitteilungen 29 (2006), 192-214.
4. M.Kružík, T.Roubíček: Mesoscopic model of microstructure evolution in shape memory alloys with applications to NiMnGa. Preprint IMA No.2003 pdf-file (or ps-file 18Mbite), Univ.of Minnesota, Minneapolis, November 2004.
5. A.Mielke, T.Roubíček: A rate-independent model for inelastic behavior of shape-memory alloys. (Preprint no. 79 DFG Schwerpunktprogramm 1095 - Analysis, Modeling and Simulation of Multiscale Problems, Uni.Stuttgart) Multiscale Modeling and Simulation 1 (2003), 571-597. ZBL:02060010
6. M.Kružík, M.Luskin: The computation of martensitic microstructure with piecewise laminates. J. Sci. Comput. 19 (2003), 293-308. ZBL: 1039.74039
7. T.Roubíček: Evolution model for martensitic phase transformation in shape-memory alloys. (Preprint MATH-MU-2000/2, MFF UK) Interfaces and Free Boundaries 4 (2002), 111-136. ZBL:0998.35058

>> Phenomenological models (sometimes called macroscopical):

1. R.Hassdorf, J. Feydt, S. Thienhaus, L. Buforn, N. Conte, O. Pykhteev, M.Kružík, N. Botkin, M. Moske: Spherical load indetation in submicron NiTiCu shape memory thin films. Proc. of the 2004 Mater. Res. Soc. Fall Meeting: Symp. on Fundamentals of Nanoindentation and Nanotribology III Boston, MA, (Eds. D.F. Bahr, at al.) Vol.841 (2005), pp.R9.7.1-R9.7.6.

>> Links to some recent preprints or publications of Prague's MULTIMAT team (mathematical modelling branch) related to modelling of ferromagnets

>> General overview:

1. M. Kružík, A. Prohl: Recent developments in modeling, analysis and numerics of ferromagnetism. (IMA Preprint no.1998, Minneapolis, 2004) SIAM Review 48 (2006), 439-483.
2. T.Roubíček: Microstructure in ferromagnetics and its steady-state and evolution models. In: Communications of Bexbach Colloquium on Science 2000 Vol.II (M.Robnik, A.Ruffing, eds.) Shaker Verlag, Aachen, 2003, pp.39-52.

>> Models based on conventional PDEs or inequalities in continuum mechanics (sometimes called microscopical):

1. T.Roubíček, G.Tomassetti, C.Zanini: The Gilbert equation with dry-friction-type damping. (Preprint No.623 Universita Rome II "Tor Vergata") J. Math. Anal. Appl., submitted.
2. P.Podio Guidugli, T.Roubíček, G.Tomassetti: A thermodynamically-consistent theory of the ferro/paramagnetic transition. (Preprint No.683 Universita Rome II "Tor Vergata") Arch. Rat. Mech. Anal., submitted.

>> Models using Young measures (sometimes called mesoscopical):

1. T.Roubíček, M.Kružík: Mesoscopic model for ferromagnets with isotropic hardening. (Preprint no. 27/2002, caesar, Bonn) Zeit. für angew. Math. und Physik 56 (2005), 107-135.
2. M.Kružík, T.Roubíček: Specimen shape influence on hysteretic response of bulk ferromagnets. (Preprint No.18/2002, caesar, Bonn) J. Magnetism and Magn. Mater. 256 (2003), 158-167.
3. M.Kružík, T.Roubíček: Interactions between demagnetizing field and minor-loop development in bulk ferromagnets. (Preprint no. 28/2002, caesar, Bonn) J. Magnetism and Magn. Mater. 277 (2004), 192-200.
4. T.Roubíček, M.Kružík: Microstructure evolution model in micromagnetics. (Preprint No.3/2000, caesar, Bonn) Zeit. für angew. Math. und Physik, 55 (2004), 159-182.
5. M.Kružík: A model for hysteresis in bulk ferromagnets. (a presentation during the Workshop on Analysis of Rate-Independent Processes Organized by G. Francfort and A.Mielke, Aug.30-Sept.1, 2004, Université Paris-Nord.
6. M. Kruzík, A.Prohl: Recent developments in modeling, analysis and numerics of ferromagnetism. Preprint IMA No.1998, Univ.of Minnesota, Minneapolis, Oct. 2004.
7. M. Kočvara, M. Kružík, J.V. Outrata: On the control of an evolutionary equilibrium in micromagnetics. Preprint IMA No.2026, Univ.of Minnesota, Minneapolis, Feb. 2005.
8. T.Roubíček, M.Kružík: Mathematical and computational modelling of bulk ferromagnets, a presentation on MULTIMAT Workshop, March 14-16, 2005, Paris.

>> Other active materials, or activated processes, or interactions, etc.:

1. F.Maršík at al: a vibrating elastic vesel with a blood exhibiting self-induced oscillations (click for movie) will later be re-inforced by a NiTi stent.
2. A.Mielke, T.Roubíček: Rate-independent damage processes in nonlinear inelasticity. (Preprint No.1020, WIAS, Berlin, 2005) M3AS 16 (2006), 177-209.
3. G. Bouchitté, A.Mielke, T.Roubíček: A complete damage problem at small strains. (Preprint No.1228, WIAS, Berlin, 2007), Zeitschift angew. Math. Phys., accepted.
4. A.Mielke, T.Roubíček, J.Zeman: Complete damage in elastic and viscoelastic media and its energetics. (Preprint No.1285, WIAS, Berlin, 2007), Computer Methods Appl. Mech. Engr., submitted.
5. A.Mielke, T.Roubíček: Numerical approaches to rate-independent processes and applications in inelasticity. (Preprint No.1169, WIAS, Berlin, 2006), Math. Modelling Numer. Anal., submitted.
6. J.Koutný, M.Kružík, A.Kurdila, T.Roubíček: Identification of Preisach-type hysteresis operators. (Preprint No.2008-005, Necas center, Prague) Numer. Funct. Anal. Optim. 29 (2008), 149-160.
7. T.Roubíček: Rate independent processes in viscous solids at small strains. (Preprint no.2008-008, Nečas Center, Prague.) Math. Methods Appl. Sci., in print.
8. J.Kratochvíl, M.Kružík, R.Sedláček: Energetic formulation of nonlocal crystal plasticity. Submitted.
9. T.Roubíček, L.Scardia, C.Zanini: Quasistatic delamination problem. Cont. Mech. Thermodynam., submitted.

>> Collaborations out of MULTIMAT network related to smart materials:

1. prof.RNDr. Roman Kotecký, DrSc., Charles University, Prague.
2. Prof.Dr. Alexander Mielke, WIAS, Berlin
3. Dr. Marcel Arndt, Rheinische Friedrich-Wilhelms-Universität Bonn; now U of Minnesota
4. caesar = Center of Advanced European Studies And Research, Bonn.
5. ELLA-CS: a NiTi-stent-producing company at Hradec Králové (East Bohemia).