OKROUHLIK, M., HOSCHL, C.: Numerical methods in mechanics of solids. Part II. Tasks, procedures, and templates 217

TONDL, A.: Method of extreme values mapping (in Czech) 248

KAMINSKI, H., STEFANIAK, J.: The method of potential used for identification of boundary conditions in heat conduction 259

MAUNDER, E. A. W.: Recovery of equilibrium in finite element models of stiffened structures 271

LABAS, V., TRNOVCOVA, V.: Residual stresses and toughness of oriented eutectic composites (in Slovak) 284

Numerical methods in mechanics of solids Part II. Tasks, procedures, and templates

M. OKROUHLIK, C. HOSCHL

A review of numerical methods based on matrix algebra is presented, especially of methods of solution of algebraic equations, generalized eigenvalue problems, solution of differential equations describing transient phenomena, and methods for the solution of nonlinear problems.

A. TONDL

The aim of this contribution is to show advantage of the method for the analysis of non-linear oscillatory systems. The principles and different possibilities of using this method are presented. Some illustrative examples confirm its suitability for the analysis of non-linear oscillations, especially of the non-periodic ones. The method enables to investigate the vibration character, to follow the influence of different parameters of the quenching effectiveness of different means on the vibration of a certain coordinate of the system.

H. KAMINSKI, J. STEFANIAK

In this paper an application of the method of potential is
considered for solution of the following inverse
problem: On a closed curve
\partial\Omega^{*} \subset \Omega, where \Omega is
the region
under consideration, temperature T(x^{*},t) is prescribed.
Assuming that the boundary
condition is of the first kind, the temperature at the boundary is to be
found. After
discretisation in time one obtains a recurrent set of Helmholtz equations
instead of
parabolic equations with nonhomogeneous initial conditions. Introduction
of integral
potentials leads to a set of integral equations for the potential density.
In the next step, a linear change of temperature on
triangular
elements is assumed. Then, one obtains a set of algebraic equations instead
of integral ones.
The solution of a direct and an inverse boundary-value problem
for a
rectangle is presented as an example.

E. A. W. MAUNDER

A methodology is proposed for recovering strong equilibrium from finite element models of stiffened structures which are based on conforming displacement elements or hybrid elements. A procedure is described as an extension of one established for models of continua, and it considers the balancing of stiffener forces and plate tractions separately. A simple 2-D example, the Peery problem, is used for illustration.

V. LABAS, V. TRNOVCOVA

A model for prediction of residual strain and stress arising
after fabrication of eutectic composites is
presented in this paper. The influence of the microstructure, composition,
and crystallographical
orientation on the distribution of the residual stresses in the composites
LiF-TbF_{3} is determined by the
Finite Element Method. The anisotropy of both elastic properties and thermal
expansion coefficients is
assumed. The result of the computing shows that the anisotropy of the
physical properties can cause a higher
toughness in these systems. The effect of the microcracking and deflection of
the crack is correlated with
the result of the simulation.