An overview of selected plate and shell FE models with graphic presentation of governing relations

• Autorzy: Radwańska M.
• Języki publikacji: EN

Abstrakty

EN

A survey of three forms (strong, weak and variational) of mathematical models is presented using expressive diagrams [1,2]. The primary and intermediate variables, governing field equations, constraint equations and variables specified by boundary conditions are components of the graphic representation of various FE (finite element) formulations. The attention is focused on linearly elastic plate element QUAD for Mindlin–Reissner theory and shell elements EAS4-ANS, EAS7-ANS based on CBRST (Continuum Based Resultant Shell Theory). In both cases the mixed FE models with the EAS (enhanced assumed strain) and ANS (assumed natural strain) concepts are used.

Słowa kluczowe

EN

FE model; graphic presentation

PL

metoda elementów skończonych; graficzna prezentacja

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2007
• Tom: Vol. 14, No. 3
• Strony: 431--456
• Opis fizyczny: Bibliogr. 11 poz., wykr.

Twórcy

autor

Radwańska M.

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

Bibliografia

• [1] U. Andelfinger, E. Ramm. EAS-elements for 2D, 3D, plate and shell structures and their equivalence to HR elements. Int. J. Numer. Meth. Engng., 36: 1311-1337, 1991.
• [2] U. Andelfinger, E. Ramm, D. Roehl. 2D- and 3D-enhanced assumed strain element method, In: E. Ofiate, D.R.J. Owen, eds., Proc. 3rd Int. Conference on Computational Plasticity, Fundamentals and Applications, Barcelona, April 1992. Pineridge Press, Swansea, 1992.
• [3] C. Fellippa. Advanced Finite Element Methods (ASEN 5367), Spring 2003, Course materials. Department of Aerospace Engineering Sciences, University of Colorado at Boulder, http://titan.colorado.edU/courses.d/AFEA.d/, 2003.
• [4] M. Radwańska. Degenerated shell elements in the context of shell theories of first and second approximation, In: Proc. 5th Conference on Shell Structures. Theory and applications, Janowice, Oct. 1992.
• [5] M. Radwańska, W. Gilewski. A survey of finite element for analysis of moderately thick shells. Finite Elements Anal. Design, 9: 1-21, 1991.
• [6] M. Radwańska. A survey of various FE models with conceptual diagrams for linear analysis. Computer Assisted Mechanics and Engineering Sciences, 13: 209-223, 2006.
• [7] J.C. Simo, D.D. Fox. On stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization. Comp. Methods Appl. Mech. Engng., 72: 267-304, 1989.
• [8] J.C. Simo, D.D. Fox, M.S. Rifai. On stress resultant geometrically exact shell model. Part II: Computational aspects. Comp. Methods Appl. Mech. Engng., 73: 53-92, 1989.
• [9] J.C. Simo, M.S. Rifai. A class of mixed assumed strain methods and method of incompatible modes. Int. J. Numer. Meth. Engng., 29: 1595-1638, 1990.
• [10] N.E. Wiberg. On understanding and teaching of the finite element method. Commun. Numer. Methods Engng., 11: 105-115, 1995.
• [11] O.C. Zienkiewicz, R.L. Taylor. The Finite Element Method. Butterworth-Heinemann, Oxford, fifth edition, 2000.