A concept of overlapping meshless FEM and its application in experimental mechanics

Wojciech Karmowski

Wojciech Karmowski Cracow University of Technology

Abstract

In the paper a new meshless FEM method is proposed. The method is physically based and the defined element ensures agreement with equilibrium equations. A special functional is defined which consist of a smoothing term, a boundary term and eventually an experimental one. In one calculation both theoretical and experimental data are used to establish proper solution. The method may be used even in the case when constitutive equation is unknown, what is especially important for residual stress problems.

Keywords

References

[1] W. Karmowski. The global-local method of solution of linear problems taking into account physical equations, boundary conditions and experimental data. In VII Conference: Computer Methods in Structure Mechanics, pp. 349- 354, Gdynia, 1985.
[2] W. Karmowski. Determination of stress and strain field by physically based interpretation of moire patterns. In 20 Convegno Nazionale AIAS, pp. 91-98, Palermo, 1991. .
[3] W. Karmowski. Global- local approximation and its application in experimental mechanics. Proceedings SPIE The International Society for Optical Engineering, 2342: 135- 141, 1994.
[4] W. Karmowski, J. Magiera, J. Orkisz. Enhancement of experimental results by constrained minimization. In: Residual Stress in Rail Effects on Rail Integrity and Railroad Economics, pp. 207-217. Kluwer Academic Publishers, Dordrecht, Boston, London, 1992.
[5] W. Karmowski, J. Magiera, J. Orkisz. A new approach to enhancement of experimental data. In J .J. Kalker, D.F. Cannon, O. Orringer, eds., Rail Quality and Maintenance for Moderm Railway Operation, pp. 287- 295. Kluwer Academic Publishers, Dordrecht, Boston, London, 1992.

A concept of overlapping meshless FEM and its application in experimental mechanics

Abstract

Keywords

References

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