A5011821648- Contact Mechanics and Variational Inequalities
- Topology Optimization in Engineering
- Advanced Numerical Methods in Computational Mathematics
- Numerical methods in engineering
- Advanced Mathematical Modeling in Engineering
- Mechanical stress and fatigue analysis
- Advanced Numerical Analysis Techniques
- Elasticity and Material Modeling
- Dynamics and Control of Mechanical Systems
- Adhesion, Friction, and Surface Interactions
- Composite Structure Analysis and Optimization
- Optimization and Variational Analysis
- Elasticity and Wave Propagation
- Numerical methods in inverse problems
- Composite Material Mechanics
- Nonlinear Partial Differential Equations
- Brake Systems and Friction Analysis
- Rheology and Fluid Dynamics Studies
- Probabilistic and Robust Engineering Design
- 3D Shape Modeling and Analysis
- Computational Fluid Dynamics and Aerodynamics
- Computational Geometry and Mesh Generation
- Manufacturing Process and Optimization
- Structural Analysis and Optimization
- Metal Forming Simulation Techniques
VSB - Technical University of Ostrava
2012-2024
Palacký University Olomouc
2023
Czech Academy of Sciences, Institute of Geonics
2013-2021
Charles University
2011-2020
Czech Academy of Sciences, Institute of Geophysics
2018
University of Jyväskylä
1986-2017
Ministry of Finance of the Czech Republic
1986-2017
Technical University of Liberec
2017
Software Competence Center Hagenberg (Austria)
2002
Kay Kendall Leukaemia Fund
1993
Preliminaries. Abstract Setting of the Optimal Shape Design Problem and Its Approximation. Systems Governed by a Unilateral Boundary Value State Scalar Case. Approximation Problems Finite Elements Numerical Realization Associated with optimization in Flux Cost Functional. Contact Elastic Optimization Materially Non-linear Bodies Contact. Inner Obstacles. Optimum Composite Material Design. Topology Problems. Appendices. Bibliography. Index.
The purpose of this paper is to present a new fictitious domain approach inspired by the extended finite element method introduced Moës, Dolbow, and Belytschko in [Internat. J. Numer. Methods Engrg., 46 (1999), pp. 131–150]. An optimal obtained thanks an additional stabilization technique. Some priori estimates are established numerical experiments illustrate different aspects method. presentation made on simple Poisson problem with mixed Neumann Dirichlet boundary conditions. extension...
Abstract The approximation of the Signorini problem with friction by mixed finite element method is studied. relation between continuous case and its dimensional discretization analyzed.
We present a mathematical framework for the so-called multidisciplinary free material optimization (MDFMO) problems, branch of structural in which full tensor is considered as design variable. extend original problem statement by class generic constraints depending either on or state variables. Among examples are local stress displacement constraints. show existence optimal solutions this generalized (FMO) and discuss convergent approximation schemes based finite element method.
Synopsis In this paper, a new variational formulation of the Signorini problem with friction is given in terms contact stresses. The method corresponds to direct integral equation approach classical elastostatic problems. First displacement and mixed problems are briefly described together some numerical results. Next displacements eliminated by use Green's function, constrained minimum respect normal tangential tractions on boundary derived. Then resulting approximation procedure studied...
The paper deals with a discretized problem of the shape optimization elastic bodies in unilateral contact. aim is to extend existing results case contact problems following Coulomb friction law. Mathematical modelling leads quasi-variational inequality. It shown that for small coefficients has unique solution and this Lipschitzian as function control variable describing body. belongs class so-called mathematical programs equilibrium constraints (MPECs). uniqueness equilibria fixed controls...
The shape derivative of the cost functional in a Bernoulli-type problem is characterized. calculation does not use state variable and achieved under mild regularity conditions on boundary domain.
The paper deals with numerical realization of discretized, frictionless static contact problems for elastic‐perfectly plastic materials and the computational limit analysis. Two methods based on variational formulation in terms stresses are analyzed: semi‐smooth Newton method damping alternating direction multipliers. These used tracking loadings path to determine discretized loading parameter solving problems.