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Tomáš Roubíček

Tomáš Roubíček

D-Index & Metrics

Mathematics

D-Index
31
Citations
5483
World Ranking
3296
National Ranking
12

Overview

Tomáš Roubíček is affiliated with Charles University in Czech Republic and has a research focus spanning engineering and materials science. Their scholarly work emphasizes areas such as elasticity and material modeling, nonlocal and gradient elasticity in micro/nano structures, and high-pressure geophysics and materials. Additional research topics include thermoelastic and magnetoelastic phenomena, rheology and fluid dynamics studies, composite material mechanics, and earthquake and tectonic studies.

Roubíček's notable recent papers include:

  • "Viscoelastodynamics of Swelling Porous Solids at Large Strains by an Eulerian Approach," 2023, SIAM Journal on Mathematical Analysis
  • "Quasistatic Hypoplasticity at Large Strains Eulerian," 2022, Journal of Nonlinear Science
  • "Some gradient theories in linear visco-elastodynamics towards dispersion and attenuation of waves in relation to large-strain models," 2024, Acta Mechanica
  • "A thermodynamical model for paleomagnetism in Earth's crust," 2022, Mathematics and Mechanics of Solids
  • "Thermodynamically consistent model for poroelastic rocks towards tectonic and volcanic processes and earthquakes," 2021, arXiv (Cornell University)

Their frequent co-authors include Ulisse Stefanelli, Alexander Mielke, Giuseppe Tomassetti, Chrysoula Tsogka, and Elisa Davoli. Collaboration with these researchers reflects interdisciplinary work within related fields of mechanics and applied mathematics.

Tomáš Roubíček has published extensively in several key academic venues. The most frequent publication outlets include:

  • arXiv (Cornell University)
  • Discrete and Continuous Dynamical Systems - S
  • Mathematics and Mechanics of Solids
  • Zeitschrift für angewandte Mathematik und Physik
  • SIAM Journal on Mathematical Analysis

Main fields of study covered in Roubíček's research are:

  • Engineering
  • Materials Science

Subfields prominently represented include:

  • Mechanics of Materials
  • Biomedical Engineering
  • Materials Chemistry
  • Geophysics
  • Fluid Flow and Transfer Processes

Primary research themes addressed in their work are:

  • Elasticity and Material Modeling
  • Nonlocal and gradient elasticity in micro/nano structures
  • High-pressure geophysics and materials
  • Thermoelastic and Magnetoelastic Phenomena
  • Rheology and Fluid Dynamics Studies
  • Composite Material Mechanics
  • Earthquake and tectonic studies

Best Publications

  • Nonlinear partial differential equations with applications

    Tomáš Roubíček

  • Relaxation in Optimization Theory and Variational Calculus

    Tomáš Roubíček

  • Rate-Independent Systems

    Alexander Mielke;Tomáš Roubíček

  • Rate-Independent Systems: Theory and Application

    Alexander Mielke;Tomáš Roubíček

  • Γ-limits and relaxations for rate-independent evolutionary problems

    Alexander Mielke;Tomáš Roubíček;Ulisse Stefanelli

  • RATE-INDEPENDENT DAMAGE PROCESSES IN NONLINEAR ELASTICITY

    Alexander Mielke;Tomáš Roubíček;Tomáš Roubíček

  • A Rate-Independent Model for Inelastic Behavior of Shape-Memory Alloys

    Alexander Mielke;Tomás Roubícek

  • Mathematical Methods in Continuum Mechanics of Solids

    Martin Kruzik;Tomas Roubicek

  • Modelling of Microstructure and its Evolution in Shape-Memory-Alloy Single-Crystals, in Particular in CuAlNi

    Martin Kružík;Alexander Mielke;Tomáš Roubíček

  • A Rate-Independent Approach to the Delamination Problem:

    Michal Kocvara;Alexander Mielke;Tomäs Roubicek

  • Thermodynamics of rate independent processes in viscous solids at small strains

    Tomáš Roubíček

  • Complete damage in elastic and viscoelastic media and its energetics

    Alexander Mielke;Tomáš Roubíček;Jan Zeman

  • Rate independent processes in viscous solids at small strains

    Tomáš Roubíček

  • Numerical approximation of Young measures in non-convex variational problems

    Carsten Carstensen;Tomáš Roubíček

  • A complete-damage problem at small strains

    Guy Bouchitté;Alexander Mielke;Tomáš Roubíček

  • Quasistatic delamination problem

    Tomáš Roubíček;Lucia Scardia;Chiara Zanini

  • Numerical approaches to rate-independent processes and applications in inelasticity

    Alexander Mielke;Tomáš Roubíček

  • Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion

    Sören Bartels;Tomáš Roubíček

  • Martensitic transformation in NiMnGa single crystals: Numerical simulation and experiments

    M. Arndt;M. Griebel;V. Novák;T. Roubíček;T. Roubíček

  • Adhesive Contact of Visco-elastic Bodies and Defect Measures Arising by Vanishing Viscosity

    Tomáš Roubíček

Frequent Co-Authors

Alexander Mielke
Alexander Mielke Weierstrass Institute for Applied Analysis and Stochastics
Michael Griebel
Michael Griebel University of Bonn
Fredi Tröltzsch
Fredi Tröltzsch Technical University of Berlin
Carsten Carstensen
Carsten Carstensen Humboldt-Universität zu Berlin
Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Vladimír Šverák
Vladimír Šverák University of Minnesota
Jaroslav Haslinger
Jaroslav Haslinger Charles University

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