A new approach to physically based interpretation of experimental data in 2D problems in mechanics

• Autorzy: Karmowski, W. , Midura, G.
• Konferencja: Polish Conference on Computer Methods in Mechanics (16 ; 21-24.06.2005 ; Częstochowa, Poland
• Języki publikacji: EN

Abstrakty

EN

The concept of experimental data interpretation in mechanics using Dirac function is presented. The objective is to find generał differential eąuation, which may be used to approximate the stress field sought. Application of this method may convert problem from generał 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. Herę, the method has been used to solve a 2D problem. Numerical tests performed for both generated and experimental data proved its usefulness.

Słowa kluczowe

PL

dane eksperymentalne; mechanika; problem 2D

EN

experimental data; mechanics; 2D problems

• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2006
• Tom: Vol. 13, No. 4
• Strony: 547-556
• Opis fizyczny: Bibliogr. 10 poz., rys., wykr.

Twórcy

autor

Karmowski, W.

autor

Midura, G.

• Cracow University of Technology, ul. Warszawska 2A, 31-155 Kraków, Poland

Bibliografia

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• [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 teoria interpretacja wyników eksperymentów mechaniki ciał odksztłicalnych. Monografia PK, 251, Krakow 1999.
• [6] W. Karmowski, J. Orkisz. A physically based method of enhancement of experimental data - concepts, formulation and application to identification of residual stresses. Inverse Problems in Engineering Mechanics, pp 61-70. Springer-Verlag, 1993.
• [7] T. Liszka. An interpolation method for an irregular net of nodes. Int. J. Num. Meth. Engrg., 20: 1599-1612, 1984.
• [8] S.A. Lukasiewicz, M. Stanuszek, J.A. Czyz. Filtering of the experimental data in plane stress and strain fields. Experimental Mechanics, 139-147, June 1993.
• [9] J. Magiera, J. Orkisz, W. Karmowski. Reconstruction of residual stresses in railroad from measurements made on vertical and oblique slices. WEAR, 191: 78-89, 1996.
• [10] J. Magiera, Enhanced 3D analysis of residual stress in rails by physically based fit to neutron diffraction data. WEAR, 253: 228-240, 2002.