### Contents of Journal of Mechanical Engineering *53,* 2 (2002)

A. JOHN: Boundary conditions and yield criteria in numerical
analysis of human pelvic bone 65
M. CHMURAWA, A. JOHN: Numerical analysis of forces, stress
and strain in planetary wheel of cycloidal gear using FEM 77
A. J. NOWAK, R. A. BIALECKI, A. FIC, G. WECEL: Numerical solution
of coupled conduction-convection-radiation heat transfer problem
in a continuous casting process 92
J. JANKOWSKI: Applications of the method of Fictitious Heat Sources
to engineering heat conduction problems 109
M. SZENTPETERI, M. ZIGO: Measuring and computing of inertial
properties of human body (in Slovak) 123

# Abstracts

###
Boundary conditions and yield criteria in numerical analysis of human pelvic
bone

ANTONI JOHN

Numerical modeling of the human pelvic bone makes it possible to determine the
stress and strain distribution in bone tissue. Some simplifications of the
numerical model are performed. The stress distribution depends on boundary
conditions and yield criteria. In the paper maximum shear-stress (Tresca)
criterion, shear-strain energy (von Mises) criterion and Burzynski's criterion
are applied and some examples of boundary conditions are presented. The shell
and solid model of the pelvic bone are analyzed using the finite element
method. Some numerical results are presented.

###
Numerical analysis of forces, stress and strain in planetary wheel of
cycloidal gear using FEM

MANFRED CHMURAWA, ANTONI JOHN

The complex construction of planet wheels in cycloidal planetary gear (Cyclo)
practically makes impossible its optimal design. To calculate distribution of
forces, strains and stresses in planet wheels with co-operating elements, FEM
has been implemented. Series of numerical models of planet wheels were
generated to simulate a real gear, and proper values of forces, strains and
stresses were calculated. In the paper forces and strains calculated with FEM
have been used to check assumptions applied only in analytical calculations,
so far. Analysis of displacements enabling to identify constraints in the
contact area between cooperating elements of Cyclo gear were not performed up
to now.

###
Numerical solution of coupled conduction-convection-radiation heat transfer
problem in a continuous casting process

ANDRZEJ J. NOWAK, RYSZARD A. BIALECKI, ADAM FIC,
GABRIEL WECEL

In this paper the enthalpy formulation is applied to analyse a conjugate
conduction-convection-radiation problem resulting from the Czochralski
crystal growth process which can also be considered as a steady-state
continuous solidification of a semitransparent medium. The solidifying
material is treated as a pure substance with material properties dependent
neither on temperature nor wavelength. Solution of the problem is obtained
iteratively using two computer codes: *Fluent* a commercial CFD package
and BEM based in-house code capable of analysing the radiative heat transfer
in the entire computational domain. Numerical algorithms for calculation of
the temperature field are presented with emphasis on coupling of the thermal
radiation with other modes of heat transfer. Results obtained show also the
influence of thermal radiation on the velocity field in the liquid phase as
well as on the resulting temperatures.

###
Applications of the method of Fictitious Heat Sources to engineering heat
conduction problems

JANUSZ JANKOWSKI

The paper presents advantages of the method of Fictitious Heat Sources (FHS).
The FHS method consists in the mathematical abbreviation of the solution of a
certain Cauchy problem in an unbounded region. The main ideas of the method
are shortly described. The way of approximation needed for numerical
applications is presented. Heat conduction problems found in engineering
practice are considered. The examples take into consideration the changes of
the heat fluxes at the boundaries and the volume heat sources within the body.

###
Engineering note

Measuring and computing of inertial properties of human body

MARIO SZENTPETERI, MARIAN ZIGO

The submitted paper deals with measuring and computing of inertial properties
of a human body. The first part describes a method of measuring of its moments
of inertia. The second part deals with computing the position of centre of
gravity and moments of inertia of a human body with respect to the three axes
of cartesian coordinate system with origin in the centre of gravity. All the
computing was performed by a MATHEMATICA program described in the paper. The
results of our measurements and computation are compared with the results
obtained by other investigators.