A new approach to physically based interpretation of experimental data in 2D problems in mechanics
Abstract
The concept of experimental data interpretation in mechanics using Dirac function is presented. The objective is to find general differential equation, which may be used to approximate the stress field sought. Application of this method may convert problem from general spline to variational one. Basic idea has been presented earlier in [6] where both theoretical data and results of experiments have been taken into account. Here, the method has been used to solve a 2D problem. Numerical tests performed for both generated and experimental data proved its usefulness.
References
[1] P.M. Anselone, P.J. Laurent. A general method for the construction of interpolating or smoothing splinefunctions. Numer. Math., 12(1): 66-82, 1968.
[2] T . Belytschko, Y. Krongauz, D. Organ, M. Fleming, P. Krysl. Meshless methods: An overview and recent developments. Comput. Methods Appl. Mech. Engrg., 139: 3-47, 1996.
[3] J .J . Groom. Determination of residual stresses in rails. Final report to the US DOT No. DOT/FRA/ORD-83/05, Columbus, OH, 1983.
[4] W. Karmowski. Application of the Dirac function to experimental data interpretation in solid mechanics. XIV Polish Conference on Computer Methods in Mechanics, Rzeszow, 145- 146, 1999.
[5] W. Karmowski. Wspomagana teorią interpretacja wyników eksperymentów mechaniki ciał odkształcalnych. Monografia PK, 251, Kraków 1999.
[2] T . Belytschko, Y. Krongauz, D. Organ, M. Fleming, P. Krysl. Meshless methods: An overview and recent developments. Comput. Methods Appl. Mech. Engrg., 139: 3-47, 1996.
[3] J .J . Groom. Determination of residual stresses in rails. Final report to the US DOT No. DOT/FRA/ORD-83/05, Columbus, OH, 1983.
[4] W. Karmowski. Application of the Dirac function to experimental data interpretation in solid mechanics. XIV Polish Conference on Computer Methods in Mechanics, Rzeszow, 145- 146, 1999.
[5] W. Karmowski. Wspomagana teorią interpretacja wyników eksperymentów mechaniki ciał odkształcalnych. Monografia PK, 251, Kraków 1999.
Published
2022-09-26
Issue
pp. 547-556
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Karmowski, W., & Midura, G. (2022). A new approach to physically based interpretation of experimental data in 2D problems in mechanics. Computer Assisted Methods in Engineering and Science, 13(4), 547-556. https://cames3.ippt.pan.pl/index.php/cames/article/view/879
