A modified four-node rectangular element
DOI:
https://doi.org/10.23998/rm.75555Avainsanat:
structural mechanics, sensitized principle of virtual work, four-node rectangular elementAbstrakti
The sensitized principle of virtual work is applied to modify the stiffness matrix of the ordinary four-node rectangular element by sensitizing terms. The sensitizing parameter values are determined by the single-element strain energy test. The reference solutions used are of bending mode types and their application removes the so-called parasitic shear behavior. A stiffness matrix of good quality is obtained corresponding exactly to an earlier formulation using incompatible modes.
Lähdeviitteet
O. C. Zienkiewicz and Y.K. Cheung, The Finite Element Method in Structural and Continuum Mechanics, McGraw-Hill, 1967.
D. Cook, Concepts and Applications of Finite Element Analysis, Second Edition, Wiley, 1981.
J. Pitkäranta, The first locking-free plane-elastic finite element: historia mathematica, Computer Methods in Applied Mechanics and Engineering, Volume 190, Issues 11–12, 2000, pp. 1323–1366. https://doi.org/10.1016/S0045-7825(00)00163-8
J. Freund and E-M. Salonen, Sensitized principle of virtual work and the single-element strain energy test. Journal of Structural Mechanics, Vol. 49, No.1, 2016, pp.1-13.
Mathematica. https://www.wolfram.com/mathematica/.
O. C. Zienkiewicz and R.L. Taylor, The Finite Element Method, Volume 1: The Basis, Fifth Edition, Butterwort Heinemann, 2000.
R. L. Taylor, P. J. Bereshford and E.L. Wilson, A non-conforming element for stress analysis, International Journal of Numerical Methods in Engineering, 10, 1211-1219, 1976. https://doi.org/10.1002/nme.1620100602
R. D. Cook, Ways to improve the bending response of finite elements, International Journal of Numerical Methods in Engineering, 11, 1029-1039, 1977. https://doi.org/10.1002/nme.1620110609
T. Belytschko, W. K. Liu, B. Moran, Nonlinear Finite Elements for Continua and Structures, Wiley, 2000.
Tiedostolataukset
Julkaistu
Numero
Osasto
Lisenssi
Copyright (c) 2019 Jouni Freund, Eero-Matti Salonen
Tämä työ on lisensoitu Creative Commons Nimeä 4.0 Kansainvälinen Julkinen -lisenssillä.
