Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion
ESAIM: M2AN, 45 3 (2011) 477-504
Published online: 2010-10-11
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions
Leander Claes, Johannes Lankeit and Michael WinklerMathematical Models and Methods in Applied Sciences 35 (11) 2465 (2025)
https://doi.org/10.1142/S0218202525500447
A thermo-visco-elastic model for nonlinear materials of Norton-Hoff type with L1 data
Krzysztof Chełmiński, Sebastian Owczarek and Karolina WielgosJournal of Differential Equations 441 113482 (2025)
https://doi.org/10.1016/j.jde.2025.113482
On a thermo‐visco‐elastic model with nonlinear damping forces and L1 temperature data
Sebastian Owczarek and Karolina WielgosMathematical Methods in the Applied Sciences 46 (9) 9966 (2023)
https://doi.org/10.1002/mma.9098
On renormalized solutions for thermomechanical problems in perfect plasticity with damping forces
Leszek Bartczak and Sebastian OwczarekMathematics and Mechanics of Solids 24 (4) 1030 (2019)
https://doi.org/10.1177/1081286518768673
Rate-Independent Damage in Thermo-Viscoelastic Materials with Inertia
Giuliano Lazzaroni, Riccarda Rossi, Marita Thomas and Rodica ToaderJournal of Dynamics and Differential Equations 30 (3) 1311 (2018)
https://doi.org/10.1007/s10884-018-9666-y
Existence of solution for a nonlinear model of thermo‐visco‐plasticity
Leszek Bartczak and Sebastian OwczarekMathematical Methods in the Applied Sciences 41 (10) 3533 (2018)
https://doi.org/10.1002/mma.4841
On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One
Giuliano Lazzaroni and Lorenzo NardiniJournal of Nonlinear Science 28 (1) 269 (2018)
https://doi.org/10.1007/s00332-017-9407-0
Thermo-visco-elasticity for Norton–Hoff-type models with homogeneous thermal expansion
Piotr Gwiazda, Filip Z. Klawe and Sebastian OwczarekNonlinear Analysis: Real World Applications 40 337 (2018)
https://doi.org/10.1016/j.nonrwa.2017.09.006
From visco to perfect plasticity in thermoviscoelastic materials
Riccarda RossiZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 98 (7) 1123 (2018)
https://doi.org/10.1002/zamm.201700205
Optimal Control of the Thermistor Problem in Three Spatial Dimensions, Part 2: Optimality Conditions
H. Meinlschmidt, C. Meyer and J. RehbergSIAM Journal on Control and Optimization 55 (4) 2368 (2017)
https://doi.org/10.1137/16M1072656
Optimal Control of the Thermistor Problem in Three Spatial Dimensions, Part 1: Existence of Optimal Solutions
H. Meinlschmidt, C. Meyer and J. RehbergSIAM Journal on Control and Optimization 55 (5) 2876 (2017)
https://doi.org/10.1137/16M1072644
Existence of solutions of a thermoviscoplastic model and associated optimal control problems
Roland Herzog, Christian Meyer and Ailyn StötznerNonlinear Analysis: Real World Applications 35 75 (2017)
https://doi.org/10.1016/j.nonrwa.2016.10.008
Existence results for a coupled viscoplastic-damage model in thermoviscoelasticity
Riccarda RossiDiscrete & Continuous Dynamical Systems - S 10 (6) 1413 (2017)
https://doi.org/10.3934/dcdss.2017075
Renormalized solutions in thermo-visco-plasticity for a Norton–Hoff type model. Part I: The truncated case
Krzysztof Chełmiński and Sebastian OwczarekNonlinear Analysis: Real World Applications 28 140 (2016)
https://doi.org/10.1016/j.nonrwa.2015.09.008
Existence and uniqueness of dynamic evolutions for a peeling test in dimension one
Gianni Dal Maso, Giuliano Lazzaroni and Lorenzo NardiniJournal of Differential Equations 261 (9) 4897 (2016)
https://doi.org/10.1016/j.jde.2016.07.012
Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems
Alexander MielkeLecture Notes in Applied and Computational Mechanics, Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems 81 135 (2016)
https://doi.org/10.1007/978-3-319-39022-2_7
Renormalised solutions in thermo-visco-plasticity for a Norton–Hoff type model. Part II: The limit case
Krzysztof Chełmiński and Sebastian OwczarekNonlinear Analysis: Real World Applications 31 643 (2016)
https://doi.org/10.1016/j.nonrwa.2016.03.009
On a non-isothermal diffuse interface model for two-phase flows of incompressible fluids
Michela Eleuteri, Elisabetta Rocca and Giulio SchimpernaDiscrete & Continuous Dynamical Systems - A 35 (6) 2497 (2015)
https://doi.org/10.3934/dcds.2015.35.2497
Rate-Independent Systems
Alexander Mielke and Tomàš RoubíčekApplied Mathematical Sciences, Rate-Independent Systems 193 459 (2015)
https://doi.org/10.1007/978-1-4939-2706-7_5
A priori time regularity estimates and a simplified proof of existence in perfect plasticity
Francesco SolombrinoMathematische Nachrichten 288 (14-15) 1786 (2015)
https://doi.org/10.1002/mana.201300110
Thermo-visco-elasticity for Norton–Hoff-type models
Piotr Gwiazda, Filip Z. Klawe and Agnieszka Świerczewska-GwiazdaNonlinear Analysis: Real World Applications 26 199 (2015)
https://doi.org/10.1016/j.nonrwa.2015.05.009
Thermo-visco-elasticity for the Mróz model in the framework of thermodynamically complete systems
Agnieszka Świerczewska-Gwiazda, Filip Z. Klawe and Piotr GwiazdaDiscrete and Continuous Dynamical Systems - Series S 7 (5) 981 (2014)
https://doi.org/10.3934/dcdss.2014.7.981
Analysis of a thermo‐viscoplastic model with Lipschitz continuous constitutive equations
Leszek BartczakMathematical Methods in the Applied Sciences 37 (17) 2597 (2014)
https://doi.org/10.1002/mma.2999
Thermal control of a rate-independent model for permanent inelastic effects in shape memory materials
Michela Eleuteri and Luca LussardiEvolution Equations & Control Theory 3 (3) 411 (2014)
https://doi.org/10.3934/eect.2014.3.411
Fatigue accumulation in a thermo-visco-elastoplastic plate
Michela Eleuteri, Jana Kopfová and Pavel KrejčíDiscrete & Continuous Dynamical Systems - B 19 (7) 2091 (2014)
https://doi.org/10.3934/dcdsb.2014.19.2091
Quasistatic adhesive contact of visco‐elastic bodies and its numerical treatment for very small viscosity
T. Roubíček, C.G. Panagiotopoulos and V. MantičZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 93 (10-11) 823 (2013)
https://doi.org/10.1002/zamm.201200239
Solvability for a class of generalized standard materials with thermomechanical coupling
Laetitia Paoli and Adrien PetrovNonlinear Analysis: Real World Applications 14 (1) 111 (2013)
https://doi.org/10.1016/j.nonrwa.2012.05.006
Non-isothermal cyclic fatigue in an oscillating elastoplastic beam
Michela Eleuteri, Jana Kopfová and Pavel KrejčíCommunications on Pure & Applied Analysis 12 (6) 2973 (2013)
https://doi.org/10.3934/cpaa.2013.12.2973
Numerical approaches to thermally coupled perfect plasticity
Sören Bartels and Tomáš RoubíčekNumerical Methods for Partial Differential Equations 29 (6) 1837 (2013)
https://doi.org/10.1002/num.21779
Thermodynamics of perfect plasticity
Tomáš RoubíčekDiscrete & Continuous Dynamical Systems - S 6 (1) 193 (2013)
https://doi.org/10.3934/dcdss.2013.6.193
Adhesive Contact of Visco-elastic Bodies and Defect Measures Arising by Vanishing Viscosity
Tomáš RoubíčekSIAM Journal on Mathematical Analysis 45 (1) 101 (2013)
https://doi.org/10.1137/12088286X
Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation
Sören Bartels, Alexander Mielke and Tomáš RoubíčekSIAM Journal on Numerical Analysis 50 (2) 951 (2012)
https://doi.org/10.1137/100819205
Global existence result for thermoviscoelastic problems with hysteresis
Laetitia Paoli and Adrien PetrovNonlinear Analysis: Real World Applications 13 (2) 524 (2012)
https://doi.org/10.1016/j.nonrwa.2011.07.018
Thermodynamics and analysis of rate-independent adhesive contact at small strains
Riccarda Rossi and Tomáš RoubíčekNonlinear Analysis: Theory, Methods & Applications 74 (10) 3159 (2011)
https://doi.org/10.1016/j.na.2011.01.031
Formulation of thermoelastic dissipative material behavior using GENERIC
Alexander MielkeContinuum Mechanics and Thermodynamics 23 (3) 233 (2011)
https://doi.org/10.1007/s00161-010-0179-0
On thermodynamically consistent models and gradient structures for thermoplasticity
Alexander MielkeGAMM-Mitteilungen 34 (1) 51 (2011)
https://doi.org/10.1002/gamm.201110008
Quasistatic delamination models for Kirchhoff‐Love plates
L. Freddi, R. Paroni, T. Roubíček and C. ZaniniZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 91 (11) 845 (2011)
https://doi.org/10.1002/zamm.201000171