A survey of various FE models with conceptual diagrams for linear analysis

• Autorzy: Radwańska M.
• Języki publikacji: EN

Abstrakty

EN

In the paper a general survey of existing finite element (FE) models is presented using a conceptual description in diagram form, which was initiated in paper [1]. The analysis is focused on the description of FE models, which is uniform in its concept but specific for each FE type. All FE models are associated with certain variational principles (and their stationarity conditions) in their original or modified versions. The diagrams are used to visualize the equations which are satisfied inside an individual FE and on interelement boundaries. The use of conceptual diagrams is very convenient in the presentation of finite element method (FEM), it simplifies the understanding and teaching of this method.

Słowa kluczowe

EN

linear analysis; finite element method

PL

analiza liniowa; metoda elementów skończonych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2006
• Tom: Vol. 13, No. 2
• Strony: 209--233
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Radwańska M.

• Cracow University of Technology, Institute for Computational Civil Engineering, Cracow, Poland

Bibliografia

• [1] N.-E. Wiberg. On understanding and teaching of the finite element method. Communications in Numerical Methods in Engineering, 11: 105-115, 1995.
• [2] M. Kleiber. FEM in Nonlinear Continuum Mechanics (in Polish). PWN, Warsaw - Poznań, 1985.
• [3] K. Washizu. Variational Methods in Elasticity and Plasticity. Pergamon Press, 1987.
• [4] T.H. H. Pian, P. Tong. Basis of finite element methods for solid continua. Int. J. Num. Meth. Eng., 1: 3-28, 1969.
• [5] O.C. Zienkiewicz, R. L. Taylor. The Finite Element Method. Fifth edition, Butterworth-Heinemann, 2000.
• [6] Hybrid and Mixed Finite Element Methods, S. N. Atluri, R. H. Gallagher, O. C. Zienkiewicz Ed. John Wiley and sons, 1983.