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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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