Photoelastic And Numerical Stress Analysis Of A
2D Contact Problem And 3D Numerical Solution
For The Case Of A Rigid Body On A Deformable One
Author(s)
A. Bilek & F. Djeddi
Abstract
A finite element analysis and a photoelastic stress analysis are conducted in
order to determine the stress field developed in the pin on plan contact problem.
Although this problem is relatively easy to study experimentally, the purpose
here is to show the possibilities of the finite element method; after validation of
the numerical procedure, problems with complicated geometry and boundary
conditions can then be solved numerically. Isochromatic and isoclinic fringes,
similar to the ones obtained experimentally by the photoelastic method, are
obtained numerically over the whole model. The details of the finite element
solution are fully given in the paper. Many studies have been achieved in order
to separate the principal stresses and obtain their orientations (integration of the
equilibrium equations …) in order to compare them with the simulated results.
However, this requires a high precision of measurement. Here, a whole field
comparison of the experimental and numerical photoelastic fringes and a local
analysis using the principal stresses difference, allowed us to validate the
numerical approach. Relatively good agreements were obtained. A numerical
solution for a three dimensional contact problem is also developed for a rigid
parallelepiped on a deformable cylinder. The mesh was refined in the
neighborhood of the contact zone in order to achieve better approximation of
stresses. The loading is given by the limit conditions that are simply the imposed
displacement. The calculated photoelastic fringes are obtained for various
sections inside the model. These simulated fringes can be compared to the
experimental ones which can be obtained by slicing the model and analyzing it in
a plan polariscope. The program developed allows us to calculate stresses on any
Keywords
birefringent, isoclinic, isochromatic, fringe, photoelasticity, contact, stress field, stress freezing, slicing
Related Book
Other papers in this volume
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