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

• Autorzy: Karmowski W.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

experimental mechanics; finite element method

PL

mechanika eksperymentalna; metoda elementów skończonych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2001
• Tom: Vol. 8, No. 4
• Strony: 535--542
• Opis fizyczny: Bibliogr. 12 poz., rys., wykr.

Twórcy

autor

Karmowski W.

• Cracow University of Technology

Bibliografia

• [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 Modern Railway Operation, pp. 287-295. Kluwer Academic Publishers, Dordrecht, Boston, London, 1992.
• [6] W. Karmowski, J. Orkisz. Fitting of curves and surfaces based on interaction of physical relations and experimental data. Applied Mathemating Modelling, 7: 65-69, 1983.
• [7] W. Karmowski, J. Orkisz. A physically based method of enhancement of experimental data — concepts, formulation and application to identification of residual stresses. In: Inverse Problems in Engineering Mechanics, pp. 61-70. Springer-Verlag, 1993.
• [8] W. Karmowski, J. Orkisz. A posteriori error estimation based on smoothing by the global—local physically based approximation. In: XII Conference: Computer Methods in Mechanics, pp. 607-614, Poznań, 1997.
• [9] L. Liszka. An interpolation method for an irregular net of nodes. Int. J. for Num. Meth. in Eng., 20, 1984.
• [10] D. Shepard. A two dimensinal interpolation function for irregularly spaced data. In: Proc. 23rd Nat. Conf. A.C.M., pp. 517-523, 1965.
• [11] F. de Veubeke. Diffusive Equilibrium Models. Sijthoff and Noordhoff, Alphen aan den Rijn, 1980.
• [12] A.P. Zieliński, O.C. Zienkiewicz. Generalized finite element analysis with t-complete boundary solution functions. Int. J. Num. Meth. Eng., 21: 509-528, 1985.