### Contents of Journal of Mechanical Engineering *57,* 4 (2006)

SLÁDEK, J., SLÁDEK V.: A meshless method in transient coupled
thermoelasticity for orthotropic solids 189
ATTIA H. A.: Axisymmetric stagnation point flow towards
a stretching surface with heat generation in a porous medium 208
GUŽELA, Š., PECIAR, M.: The calculation of force acting
on the moving object through batch of the particulate
material (*in Slovak*) 220

# Abstracts

### A meshless method in transient coupled
thermoelasticity for orthotropic solids

JÁN SLÁDEK, VLADIMÍR SLÁDEK

The Meshless Local Petrov-Galerkin (MLPG) method for linear transient coupled
thermoelastic analysis in orthotropic solids is presented. To eliminate the time-dependence in
governing equations, the Laplace-transform technique is used. Local integral equations on small
circular subdomains are presented for solving two-dimensional (2-D) problems. Circular
subdomains surround nodal points which are distributed over the analysed domain. The spatial
variation of the displacements and temperature are approximated by the Moving Least-Squares
(MLS) scheme. After performing the spatial integrations, a system of linear algebraic equations
for unknown nodal values is obtained. The Stehfest's inversion method is then applied to obtain
the final time-dependent solutions. Orthotropic properties for heat conduction coefficients and
for mechanical stiffness matrix are considered in numerical examples.

### Axisymmetric stagnation point flow towards a stretching surface with
heat generation in a porous medium

HAZEM A. ATTIA

An analysis is made of the steady laminar three-dimensional stagnation point
flow through a porous medium of an incompressible viscous fluid impinging on
a permeable stretching surface with heat generation or absorption. Numerical
solution for the governing nonlinear momentum and energy equations is
obtained. The effect of the porosity of the medium, the surface stretching
velocity, and the heat generation/absorption coefficient on both the flow
and heat transfer is presented and discussed.

### The calculation of force acting on the moving object
through batch of the particulate material

ŠTEFAN GUŽELA, MARIÁN PECIAR

The paper deals with force effect of the particulate material on
a rectangular shaped blade proceeding with uniform and rectilinear motion in a batch of
the particulate material. The
solution comes out from the tensions yield equilibrium of the particulate material described
by theory of Mohr's circle. Rectangular box was used in the experiments which enables
a uniform rectilinear motion of the object -- the flat blade of the rectangular shape.
Dimensionless dependences of a force on the dimensionless immersion of the blade, which is
necessary for a movement of the flat blade through the
particulate material layer, were acquired by correlation of the experimental data.