Keywords:
- activated processes
- adhesive contact
- aseismic slip
- Brittle delamination
- convergence
- damage
- Dieterich-Ruina model
- dimension reduction
- dissipation due to eddy currents
- domain-wall pinning
- effective temperature
- Frictional contact
- Γ-convergence
- Gilbert equation
- Kirchhoff-Love plates.
- Mathematics - Analysis of PDEs
- plasticity.
- rate-independent processes
- seismic fault rupture
- stable time discretisation
- tectonic earthquakes
- thermodynamics
- weak solution
Publications of Roubíček, Tomáš
2016
2015
2014
| , A note about the rate-and-state-dependent friction model in a thermodynamical framework of the Biot-type equation (2014), in: Geophysical Journal International, 199:1(286--295) |
[DOI] |
| , and , A simple and efficient BEM implementation of quasistatic linear visco-elasticity (2014), in: International Journal of Solids and Structures |
[DOI] |
| , and , Energetic versus maximally-dissipative local solutions of a quasi-static rate-independent mixed-mode delamination model (2014), in: Meccanica |
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2013
| , and , A model of rupturing lithospheric faults with re-occurring earthquakes (2013), in: SIAM J. Appl. Math., 73:4(1460--1488) |
[DOI] |
2012
| , and , Delamination and adhesive contact models and their mathematical analysis and numerical treatment, in: Math. Methods and Models in Composites, Imperial College Press, 2012 |
[URL] |
| , and , From damage to delamination in nonlinearly elastic materials at small strains (2012), in: Journal of Elasticity |
| and , Micro-to-meso scale limit for shape-memory-alloy models with thermal coupling (2012), in: Multiscale Modeling and Simulation |
| and , Phase transformations in electrically conductive ferromagnetic shape-memory alloys, their thermodynamics and analysis (2012), in: Archive for Rational Mechanics and Analysis |
| , and , Quasistatic small-strain plasticity in the limit of vanishing hardening and its numerical approximation (2012), in: SIAM J. Numer. Anal. |
| , and , Thermodynamically-consistent mesoscopic model of the ferro/paramagnetic transition (2012), in: ZAMP - Zeitschrift für Angewandte Mathematik und Physik |
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2011
| , and , A quasistatic mixed-mode delamination model (2011), in: Discrete and Continuous Dynamical Systems - Series S |
[URL] |
| , Approximation in multiscale modelling of microstructure evolution in shape-memory alloys (2011), in: Continuum Mechanics and Thermodynamics, 23(491--507) |
[DOI] [URL] |
| and , Ferromagnets with eddy currents and pinning effects: their thermodynamics and analysis (2011), in: Mathematical Models and Methods in Applied Sciences, 21:1(29-55) |
[URL] |
| , On certain convex compactifications for relaxation in evolution problems (2011), in: Discrete and Continuous Dynamical Systems - Series S, 4:2(467-482) |
[DOI] [URL] |
| , , and , Quasistatic delamination models for Kirchhoff-Love plates (2011), in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 91:11(845--865) |
[DOI] |
| and , Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion (2011), in: ESAIM: Mathematical Modelling and Numerical Analysis, 45:03(477-504) |
[DOI] [URL] |
| and , Thermodynamics and analysis of rate-independent adhesive contact at small strains (2011), in: Nonlinear Analysis: Theory, Methods & Applications, 74(3159-3190) |
[DOI] |
| , Thermodynamics of perfect plasticity (2011), in: Discrete and Continuous Dynamical Systems - Series S |
[URL] |
2010
| , and , A thermodynamically-consistent theory of the ferro/paramagnetic transition (2010), in: Archive for Rational Mechanics and Analysis, 198:3(1057-1094) |
[DOI] |
| , Across multiscales in solid mechanics via Gamma-convergence in the context of quasistatic evolution, in: Microstructures in Solids: From Quantum Models to Continua, pages 785-787, Mathematisches Forschungsinstitut, 2010 |
[DOI] [URL] |
| , and , Coarse-convex-compactification approach to numerical solution of nonconvex variational problems (2010), in: Numerical Functional Analysis and Optimization, 31:4-6(460--488) |
[DOI] [URL] |
| , and , Complete damage in elastic and viscoelastic media and its energetics (2010), in: Computer Methods in Applied Mechanics and Engineering, 199:21-22(1242--1253) |
[DOI] |
| and , Optimal control of planar flow of incompressible non-Newtonian fluids (2010), in: Journal for Analysis and its Applications, 29:3(351--376) |
[DOI] |
| , Rate Independent processes in viscous solids, in: Rate-Independent Evolution and Material Modeling (Special Section of EQUADIFF 2007), Pavia, pages 45-50, Pubblicazione IMATI-CNR, 2010 |
| , Thermodynamics of rate-independent processes in viscous solids at small strains (2010), in: SIAM J. Math. Anal., 42:1(256--297) |
[DOI] [URL] |
| and , Thermodynamics of shape-memory alloys under electric current (2010), in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 61:1(1--20) |
[DOI] |
2009
| , and , A complete-damage problem at small strains (2009), in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 60:2(205--236) |
| and , Matematické a počítačové modelování aktivních materiálů (2009), in: Vesmír, 88(21--23) |
| and , Numerical approaches to rate-independent processes and applications in inelasticity (2009), in: ESAIM: Mathematical Modelling and Numerical Analysis, 43:3(399--428) |
[DOI] |
| , On non-Newtonian fluids with energy transfer (2009), in: J. Math. Fluid Mech., 11:1(110--125) |
[DOI] |
| , and , Quasistatic delamination problem (2009), in: Continuum Mechanics and Thermodynamics, 21:3(223-235) |
[DOI] |
| , Rate-independent processes in viscous solids at small strains (2009), in: Mathematical Methods in the Applied Sciences, 32:7(825--862) |
[DOI] [URL] |
| , and , The Gilbert equation with dry-friction-type damping (2009), in: Journal of Mathematical Analysis and Applications, 355:2(453--468) |
[DOI] |
2008
| , , and , Identification of Preisach-type hysteresis operators (2008), in: Numer. Funct. Anal. Optim., 29:1-2(149--160) |
[DOI] [URL] |
| and , Thermoviscoplasticity at small strains (2008), in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 88:9(735--754) |
[DOI] |
| , and , {$\Gamma$}-limits and relaxations for rate-independent evolutionary problems (2008), in: Calc. Var. Partial Differential Equations, 31:3(387--416) |
2007
| , and , A mesoscopical model of shape memory alloys (2007), in: Proc. Estonian Acad. Sci. Phys. Math., 56:2(146--154) |
[URL] |
| , Incompressible ionized non-Newtonian fluid mixtures (2007), in: SIAM J. Math. Anal., 39:3(863--890 (electronic)) |
[URL] |
| , Modelling of thermodynamics of martensitic transformation in shape-memory alloys (2007), in: Discrete Contin. Dyn. Syst.:Dynamical Systems and Differential Equations. Proceedings of the 6th AIMS International Conference, suppl.(892--902) |
[URL] |
| and , Optimal control of Navier-Stokes equations by Oseen approximation (2007), in: Comput. Math. Appl., 53:3-4(569--581) |
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