Rate-independent systems

A Mielke, T Roubíček - Applied Mathematical Sciences, 2015 - Springer
Our work on rate-independent systems was stimulated by our search for evolutionary
material models for shape-memory alloys that are flexible enough to encompass nonlinear …

Efficient and flexible MATLAB implementation of 2D and 3D elastoplastic problems

M Čermák, S Sysala, J Valdman - Applied Mathematics and Computation, 2019 - Elsevier
Fully vectorized MATLAB implementation of various elastoplastic problems formulated in
terms of displacement is considered. It is based on implicit time discretization, the finite …

A TFETI domain decomposition solver for elastoplastic problems

M Čermák, T Kozubek, S Sysala, J Valdman - Applied Mathematics and …, 2014 - Elsevier
We propose an algorithm for the efficient parallel implementation of elastoplastic problems
with hardening based on the so-called TFETI (Total Finite Element Tearing and …

Perfect plasticity with damage and healing at small strains, its modeling, analysis, and computer implementation

T Roubicek, J Valdman - SIAM Journal on Applied mathematics, 2016 - SIAM
The quasistatic, Prandtl--Reuss perfect plasticity at small strains is combined with a gradient,
reversible (ie, admitting healing) damage which influences both the elastic moduli and the …

[HTML][HTML] Mixed finite elements of higher-order in elastoplasticity

P Bammer, L Banz, A Schröder - Applied Numerical Mathematics, 2025 - Elsevier
In this paper a higher-order mixed finite element method for elastoplasticity with linear
kinematic hardening is analyzed. Thereby, the non-differentiability of the involved plasticity …

Error estimates in elastoplasticity using a mixed method

A Schröder, S Wiedemann - Applied numerical mathematics, 2011 - Elsevier
In this paper, a mixed formulation and its discretization are introduced for elastoplasticity
with linear kinematic hardening. The mixed formulation relies on the introduction of a …

A convergent adaptive finite element method for the primal problem of elastoplasticity

C Carstensen, A Orlando… - International Journal for …, 2006 - Wiley Online Library
The boundary value problem representing one time step of the primal formulation of
elastoplasticity with positive hardening leads to a variational inequality of the second kind …

Stress-driven solution to rate-independent elasto-plasticity with damage at small strains and its computer implementation

T Roubíček, J Valdman - Mathematics and Mechanics of …, 2017 - journals.sagepub.com
Quasistatic rate-independent damage combined with linearized plasticity with hardening at
small strains is investigated. Fractional-step time discretization is devised with the purpose …

Functional a posteriori error estimates for incremental models in elasto-plasticity

S Repin, J Valdman - Open Mathematics, 2009 - degruyter.com
We consider incremental problem arising in elasto-plastic models with isotropic hardening.
Our goal is to derive computable and guaranteed bounds of the difference between the …

Modeling of process machine interactions in tool grinding

M Deichmueller, B Denkena… - … and Manipulation of …, 2013 - Springer
A systematic modeling approach to predict and manipulate the static and dynamic process
machine interactions in tool grinding is described. The modeling approach is verified by …