Contact problem for punch of complex shape and preliminary stressed semi-space
Journal Title: Вісник Тернопільського національного технічного університету - Year 2015, Vol 77, Issue 1
Abstract
Determination of contact stresses and deformations in the interaction of rigid and elastic bodies stamps with existing permanent deformations is one of the most actual tasks of modern construction and engineering. As it is known [2], residual deformation is almost always available in the structural elements and machine parts. The nature of their appearance can be very different: irreversible deformation (plasticity, creep), structural changes in the material, changes of the aggregate state in some areas, mechanical, chemical and technological processes, etc. Resultant stress can cause fracture and accelerate some phase transitions, corrosion in particular. To improve the accuracy of calculations the residual must be takeninto account, which directly affect the state of bodies. Taking into account all the factors that affect the interaction of the body is one of the key problems to determine the stability, reliability and other characteristics. Therefore, consideration of residual stress in the study of contact interaction of elastic bodies is an important task. Research problems investigations of the contact interaction of the preliminary stressed bodies in our country and abroad had appeared in the sufficient quantity only by the end of the last century. First of all it is due to the fact that the linear elasticity theory does not consider the residual stresses in bodies. In general, strict proper statement of such problems requires the use of system of the nonlinear elasticity theory, however, for the sufficiently large values of the initial stresses its linearized version can be referred to. In the article the solution of axisymmetric contact problem of pressure a punch of complex shape for an elastic isotropic half-space, taking into account preliminary stresses is described. Besides distribution function of contact stresses and displacements for the plane boundary of semi-space was created. Influence of residual stress on the distribution of contact stresses under the punch was investigated. With basic relations of the linearized elasticity theory, the problem is treated as the construction of the solution of the double integral equations. The authors have developed a method of approximate solutions of this type. The main idea of this method is to represent the unknown distribution function of the contact stresses in the form of the Fourier series with unknown coefficients and to construct a system of the linear equations for finding them. To demonstrate the proposed methods the numerical example of the construction of the contact stresses distribution function is presented in the paper. Besides, the residual deformation field characteristics effect on the amount and nature of the contact stresses under punch has been analyzed.
Authors and Affiliations
Oleh Panchuk, Hryhorii Habrusiev, Borys Shelestovskyi
Keywords
Related Articles
- EP ID EP571879
- DOI -
- Views 49
- Downloads 0
Providing the coherence of biosignal system in information analytical biomedical
For controlling and diagnosing of functional state, for correction functions of biological object the method of electrophysiological active research of this object often use. In particularly the use of low level light in...
Analysis of risks while connecting to the power supply system of the administrative building of the kinetic energy storage unit for the purpose of load regulation
On the basis of the analysis of the risks arising from the power supply of the building's power supply system from the kinetic electronics to the time of maximum load, according to the network analysis method developed b...
Spline collocation method for free vibration analysis of laminated shallow shells
The presented study deals with free vibration of cross-ply symmetrically laminated composite doubly-curved panels with constant thickness. Based on the first-order shear deformation theory (FSDT) the equations of motion...
The generalized model of interaction of ultrasonic sh-polarization wave with 2d strain field in a plane layer
Within the framework of previously developed mathematical model of small elastic perturbations propagation in homogeneously strained elastic continuum a stationary problem for interaction of a narrow ultrasonic beam of S...
Method of analysis errors of measuring conversion of impedance spectroscopy with activation nonharmonic signals
In this paper, we examine the peculiarities of SPICE simulation measuring transducers impedance spectroscopy. Based on results of modeling research proposed the method of analysis errors measured values of active and rea...