For isotropic elastic materials, following Hooke’s law, the strain and stress field below the surface is uniquely determined by the knowledge of the displacement of the surface itself. From the holographically measured surface displacement u and the boundary conditions for the surface-stresses one can determine all 9 components of the vector-gradient grad u, which describes the strains as well as the tilt and the rotation of a volume element adjacent to the surface. It is shown that strain and stress can be uniquely calculated in a cone-shaped zone below the observed part of the surface by stepwise linear extrapolation. The depth of this cone depends on the density of the sample points and on the accuracy of the displacement measurement on the surface, as well as on the required accuracy of the extrapolated strain and stress values. The suggested extrapolation method has been tested numerically for a thick-walled cylindrical tube under internal pressure using simulated input data. The limitations and the accuracy are discussed.
Skip Nav Destination
Article navigation
September 1979
Research Papers
Extrapolation of Strain and Stress From Holographically Measured Surface Displacement Available to Purchase
R. Da¨ndliker
R. Da¨ndliker
Brown Boveri Research Centre, CH-5405 Baden, Switzerland
Search for other works by this author on:
R. Da¨ndliker
Brown Boveri Research Centre, CH-5405 Baden, Switzerland
J. Appl. Mech. Sep 1979, 46(3): 581-586 (6 pages)
Published Online: September 1, 1979
Article history
Received:
October 1, 1978
Revised:
February 1, 1979
Online:
July 12, 2010
Citation
Da¨ndliker, R. (September 1, 1979). "Extrapolation of Strain and Stress From Holographically Measured Surface Displacement." ASME. J. Appl. Mech. September 1979; 46(3): 581–586. https://doi.org/10.1115/1.3424610
Download citation file:
Get Email Alerts
Cited By
Hydrogen-reduced dislocation line tension in fcc nickel
J. Appl. Mech
Straight dislocations in cubic flexoelectric solids
J. Appl. Mech
Related Articles
Flexibility Factors for High Density Polyethylene Elbows
J. Pressure Vessel Technol (April,2012)
On the Steady Motions of a Rotating Elastic Rod
J. Appl. Mech (September,2001)
Correlation of Patellar Tracking Pattern With Trochlear and Retropatellar Surface Topographies
J Biomech Eng (December,2000)
Response Measurement Accuracy for Off-Resonance Excitation in Atomic Force Microscopy
J. Dyn. Sys., Meas., Control (January,2012)
Related Proceedings Papers
Related Chapters
Achievements, Challenges, and Opportunities
Computer Vision for Structural Dynamics and Health Monitoring
Development of a Computer Vision Sensor for Structural Displacement Measurement
Computer Vision for Structural Dynamics and Health Monitoring
Control and Operational Performance
Closed-Cycle Gas Turbines: Operating Experience and Future Potential