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### A finite element analysis for the Signorini problem in plane elastostatics

Aplikace matematiky

### A fixed point method in dynamic processes for a class of elastic-viscoplastic materials

Annales Polonici Mathematici

Two problems are considered describing dynamic processes for a class of rate-type elastic-viscoplastic materials with or without internal state variable. The existence and uniqueness of the solution is proved using classical results of linear elasticity theory together with a fixed point method.

### A hypercomplex method of calculating stresses in three-dimensional bodies

Proceedings of the 12th Winter School on Abstract Analysis

### A mixed finite element method close to the equilibrium model applied to plane elastostatics

Aplikace matematiky

### A monotonicity method for solving hyperbolic problems with hysteresis

Aplikace matematiky

### A New Mixed Formulation for Elasticity.

Numerische Mathematik

### A Taylor Series Method for the Numerical Solution of Two-Point Boundary Value Problems.

Numerische Mathematik

### About the Lamé system in a polygonal or a polyhedral domain and a coupled problem between the Lamé system and the plate equation. I : regularity of the solutions

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

### An analysis of a contact problem for a cylindrical shell: A primary and dual formulation

Aplikace matematiky

In this paper the contact problem for a cylindrical shell and a stiff punch is studied. The existence and uniqueness of a solution is verified. The finite element method is discussed.

### An equilibrium finite element method in three-dimensional elasticity

Aplikace matematiky

The tetrahedral stress element is introduced and two different types of a finite piecewise linear approximation of the dual elasticity problem are investigated on a polyhedral domain. Fot both types a priori error estimates $O\left({h}^{2}\right)$ in ${L}_{2}$-norm and $O\left({h}^{1/2}\right)$ in ${L}_{\infty }$-norm are established, provided the solution is smooth enough. These estimates are based on the fact that for any polyhedron there exists a strongly regular family of decomprositions into tetrahedra, which is proved in the paper, too.

### An inverse eigenvalue problem for an arbitrary multiply connected bounded region in ${R}^{2}$.

International Journal of Mathematics and Mathematical Sciences

### Analysis of Finite Element Methods for the Nonlinear Dynamic Analysis of Shells.

Numerische Mathematik

### Application of Papkovitch functions to three-dimensional thermoelastic problems.

Journal für die reine und angewandte Mathematik

### Asymptotic behaviour of an elastic body with a surface having small stuck regions

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

### Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and ${H}^{1}$ regularity

Commentationes Mathematicae Universitatis Carolinae

We prove ${H}_{loc}^{1}$-regularity for the stresses in the Prandtl-Reuss-law. The proof runs via uniform estimates for the Norton-Hoff-approximation.

### Boundary value problems of electroelasticity with concentrated singularities.

Georgian Mathematical Journal

### Contact problems for two anisotropic half-planes with slits.

Georgian Mathematical Journal

### Continuity of hysteresis operators in Sobolev spaces

Aplikace matematiky

We prove that the classical Prandtl, Ishlinskii and Preisach hysteresis operators are continuous in Sobolev spaces ${W}^{1,p}\left(0,T\right)$ for $1\le p<+\infty$, (localy) Lipschitz continuous in ${W}^{1,1}\left(0,T\right)$ and discontinuous in ${W}^{1,\infty }\left(0,T\right)$ for arbitrary $T>0$. Examples show that this result is optimal.

### Deformazioni finite di blocchi elastici incomprimibili: una soluzione esatta per appoggi in gomma semplicemente compressi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In questo articolo si studia un problema misto al contorno associato con le deformazioni finite di un parallelepipedo elastico incomprimibile, omogeneo ed isotropo. L'analisi è rivolta allo studio degli appoggi in gomma nelle costruzioni. In particolare, usando il metodo semi-inverso, viene fornita una soluzione esatta del problema di equilibrio degli appoggi semplicemente compressi. Inoltre, per ragioni di interesse tecnico, viene proposta una nuova relazione globale «carico-schiacciamento », che...

### Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity.

Journal of Applied Mathematics

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