Journal of Theoretical and Applied Mechanics

Volume 38, Number 4, 2008




Fakher Chaari, Mohamed Riadh Letaief, Mohamed Haddar


Dynamics of Mechanical Systems Research Unit,

National School of Engineers of Sfax,

BP 1173 - 3038 – Sfax, Tunisia,



Dynamic behaviour of thin rimmed internal gear system


Abstract. In this paper, a dynamic model of a gear system composed of an external and an internal gear is developed. The finite elements method is used to calculate the gearmesh stiffness which is time varying and considered to be the main source of excitation source of the system. This stiffness is computed for various cases of the internal gear design. The rim thickness, the shape and the fixing mode are varied. It is shown that this design affects considerably the evolution of the gearmesh stiffness and the dynamic response of the system. Lower vibration levels are observed for certain design cases.


Key words: internal gear, thin rim shape, gearmesh stiffness, dynamic behaviour, rim fixing.


Angel Baltov

Institute of Mechanics, Bulgarian Academy of Sciences,

Akad. G. Bonchev Str., Bl. 4, 1113 Sofia, Bulgaria,



Zemon Mroz

Institute of Fundamental Technological Research,

Polish Academy of Sciences,

21, Swietokrzyska, Str., 00-049 Warsaw, Poland,



Hydrogen Embrittlement in Fe,Al intermetallics


Abstract. The one-dimensional model for plastic behaviour of the Fe,Al intermetallics is proposed. Two cases are investigated: hydrogen attacks by moisture and hydrogen attacks by pressure. Experimental verification is presented. Some discussion about the possible three-dimensional generalization of the model is done.


Key words: Fe,Al – intermetallics, modelling, hydrogen embrittlement.




Laboratoire LPQ3M BP 763,

Université de Mascara, Algerie,



Z. Semari, A. Amrouche, G. Mesmacque


Laboratoire de Mécanique de Lille, Université de Lille1, UMR CNRS 8107,

Villeneuve d’ASCQ 59650, France,



M. Benguediab


Département de génie mécanique, Université de Dj. Liabes,

Sidi Bel Abbes, 22000, Algérie,



Nonlinear damage cumulative model in blocks loading conditions. Application for GS61 spheroïdal graphite cast-iron loaded by torsion and plane bending.


Abstract. The mechanical components generally work under cyclic stresses with varying amplitudes during the lifetime. It is important in predicting fatigue life and how to deal with the problem of fatigue damage accumulation. On the basis of the data for material taken by Stress-Number of cycles at failure (S-N) curves and mechanical properties of material studied, a new nonlinear fatigue damage cumulative model is proposed, ultimate strength, loading parameters and the effect of the loading sequence are considered. This model is connected to S-N curve cycle by cycle to determine the lifetime of the material and to calculate the damage indicator. The cycles extracted are counted by one of counting cycles methods.

The recurrence formula of fatigue damage was tested for four various spectra of block loading.

The obtained results by this model are compared with the experimental results and those calculated by the most fatigue damage model used in fatigue (Miner’s model).

Such model is in agreement with experimental results. Moreover, the error is minimized in comparison to Miner’s model.


Key words: damage indicator, random loading, block loading, random block loading.


M. Elajrami, M. Benguediab


Laboratory of Material and Reactive Systems,

Department of Mechanical Engineering, University of Sidi bel Abbes,



G. Ronald


Research Center and Transfer of Technology – GeM (EMM),

University of Nantes


Residual stress and reduction of the stress concentration factor in rivet holes of 2024 –T3 aluminium alloy


Abstract. This paper presents a numerical study whose main objective is to analyze the effects of the cold expansion on the variation of the stress field and the influence of the residual stress on the reduction of the stress concentration factor in rivet holes of 2024-T3 aluminium alloy sheet by means of the 2D finite element method

This analysis is done according to the plate ligament and the hole edges by using an uniaxial tensile load, the obtained results verified the phenomena of the retardment of crack initiation and propagation experimentally observed.


Key words: cold expansion, residual stress, rivet hole, stress concentration factor.


A. S. Bouchikhi, A. Megueni


Department of Mechanics Engineering, University of Sidi Bel Abbes,

BP 89, Cité Ben M’hidi- Sidi Bel Abbes (22000), Algeria,



Evaluation axisymmetric analysis of thermal stress residual near Fiber/Epoxy interface


Abstract. The finite element method is used to compute and analyze the residual stresses particularly near the fiber/epoxy interface, and these stresses need to be taken into account. An axisymmetric model has been used for stress computation and analysis, in this work two cases are considered by using an epoxy matrix with respectively glass and carbon fibers with a different volume of fiber. Numerical calculation results show that the stresses are important. The interface is affected by thermal stresses particularly in the free edge. The normal and shear stresses values have an influence on the behaviour of the composite during service.


Key words: fiber/epoxy, thermal residual stresses, axisymmetric model, energy release, Finite element method.


M. Khlif, N. Masmoudi, C. Bradai


National School of Engineers of Sfax,

Analysis Laboratory of Electro Mechanical Systems,

BP.1173. W. 3038 Sfax, Tunisia,



V. Grolleau,  G. Rio


University of Southern Bretagne, France,

Mechanical laboratory of Engineering and Materials


Development of a new testing method for polymer materials at high strain rate


Abstract. The increasing use of polymeric materials in transport fields requires knowledge of their mechanical behaviour at high strain rate to optimize the structures. The particular behaviour of polymers, compared to metals, is characterized by low Young modulus, weak density and viscoplastic behaviour, which make conventional experimental test inoperative. The objective of this work is the development of a dynamic tensile test reaching from 100 to 500 s-1 (strain rate) based on the Charpy testing machine. The proposed test device is composed of an instrumented bar and a sensing block for wave strain measurement to determine the stress and strain on the tested material. The main objective consists in studying mechanical behaviour of polymer material at high strain rate.


Key words: high strain rate, dynamic behaviour, shock, Hopkinson bar, sensing block.


K. Kazakov


VSU L. Karavelov”, 175, Suhodolska Str., 1373 Sofia,





Abstract. In this paper the restriction of the rigid body motion of the Elastodynamic Infinite Element with United Shape Functions (EIEUSF) in local coordinate directions, given as ξ and η, is investigated. First, the concept of the construction of the so-called EIEUSF united shape functions is given in brief. The mathematical and mechanical aspects of the rigid body motion is demonstrated and discussed in some details. Such a motion is impossible form mechanical point of view and assures the EIEUSF element to be used as a special form of elastic boundary condition. The conclusions can be treated as a part of the application of the element.


Key words: Soil-Structure Interaction (SSI), elastodynamic infinite elements, rigid body motion, wave propagation.