Skip to main content
Log in

Ultrasonic and laser measurements in structural contact problems

  • Published:
Materials and Structures Aims and scope Submit manuscript

Abstract

This paper deals with two experimental techniques recently set up by the authors which enable the study of contact problems between elastic bodies. The more widely used experimental techniques for determining the response of elastic bodies in unilateral contact include moiré fringes, holography and photoelasticity. The experimental techniques proposed here utilize either the ultrasonic pulse transit time method or the laser beam intensity method. Both techniques are applied to measure the relative displacements and the contact area of beam and plate models in unilateral contact with an elastic half-space model. The experimental results, compared with those obtained by numerical analysis, show the efficiency and validity of the measurement techniques proposed.

Resume

Cet article traite de deux techniques expérimentales récemment mises au point par les auteurs, qui permettent d’étudier les problèmes de contact entre corps élastiques. Les techniques expérimentales les plus largement utilisées pour déterminer la réponse des corps élastiques dans le contact unilatéral sont la méthode du moiré, l’holographie et la photoélasticité. On propose ici deux méthodes expérimentales: l’une par la mesure du temps de réflexion ultrasonique, l’autre par la mesure de l’intensité d’un rayon laser. On applique les deux techniques à la mesure des déplacements relatifs et de la surface de contact entre des modèles de poutre et de plaque en contact unilatéral avec un modèle de semi-espace élastique.

Les résultats experimentaux, quand on les compare avec ceux obtenus par analyse numérique, montrent l’efficacité et la validité des techniques de mesure proposées.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Abbreviations

F :

Force

q :

Distributed load

h p :

Plate thickness

R :

Circular plate radius

L :

Square plate half-size

D :

Plate flexural stiffness

σ:

Pressure

r :

Correlation coefficient

p :

Punch width (square)

d :

Punch diameter (circular)

l :

Beam length

h t :

Beam thickness

h s :

Half-space (model) thickness

b t :

Beam width

w :

Vertical relative displacement

x, x′:

Abscissae

t,t′:

Non-dimensional abscissae

V :

Non-dimensional vertical relative displacement

K :

Plate/half-space relative stiffness

E s,v s :

Half-space elastic moduli

E p,v p :

Plate elastic moduli

References

  1. Gladwell, G. M. L., ‘Contact Problems in the Theory of Elasticity’, Sijthoff and Noordhoff, The Netherlands, 1980).

    Google Scholar 

  2. Panagiatopoulos, P. D., ‘Inequality Problems in Mechanics and Applications’, (Birkhäuser, Basel, 1985).

    Google Scholar 

  3. Ascione, L. and Bruno, D., ‘An analysis of the unilateral contact problem with friction of beams and plates on an elastic half-space’, in Proceedings of 2nd Meeting on Unilateral Problems in Structural Analysis, Preseudin Valley, 1985, No. 304, CISM Courses and Lectures Springer, Berlin, 1986) pp. 1–20.

    Google Scholar 

  4. Ascione, L., Grimaldi, A. and Maceri, F., ‘Modelling and analysis of beams on tensionless foundations’,Int. J. Modelling Simul.,2(3) (1983).

  5. Pindera, J. T. and Sze, Y., ‘Characteristic parameters of repsonse of plates in contact’, in Proceedings of 2nd International Conference on Structural Mechanics in Reactor Technology, Berlin, 1973, Vol. V, part M., pp. 1–12.

  6. Idem, Pindera, J. T. and Sze, Y. ‘Response of elastic plates in flat contact’, in Proceedings of International Symposium on Experimental Mechanics, University of Waterloo, Canada, 1972, pp. 617–35.

  7. Cennamo, F., Lembo, M. and Maceri, F., ‘Materials and structural models computer controlled testing systems; an application to the elastic contact problems’, in Proceedings of MECO 83, Athens, 1984.

  8. Daponte, P., Olivito, R. S. and Spadea, G., ‘Experimental techniques in contact problems’, in Proceedings of 5th Danubia-Adria Symposium on Experimental Methods in Solids Mechanics, Udine, Italy, 1988.

  9. Daponte, P. and Olivito. R. S., ‘Indagine sperimentale su modelli structurali in contatto unilaterale con attrito mediante tecniche ultrasoniche’, Atti del XVII Convegno AIAS, Ancona, Italy, 1989, pp. 465–476.

  10. Krautkramer, J. and Krautkramer, H., ‘Ultrasonic Testing of Materials’, 3rd Edn (Springer, Berlin, 1983).

    Google Scholar 

  11. Burch, J. M., ‘Laser speckle metrology’, in Proceedings Advanced Optical Methods in Experimental Mechanics, Capo Boi Sardinia, Italy, 1980, pp. 27–41.

  12. Von Allmen, M., ‘Laser-beam Interactions with Materials’ (Springer, Berlin, 1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Daponte, P., Olivito, R.S. & Spadea, G. Ultrasonic and laser measurements in structural contact problems. Materials and Structures 25, 42–48 (1992). https://doi.org/10.1007/BF02472212

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02472212

Keywords

Navigation