Abstract
The need for efficient plate and shell elements is critical for solving large scale industrial problems such as the analysis of civil engineering shell structures, vehicle crash-worthiness situations and sheet stamping processes. The derivation of simple triangles capable of accurately representing the shell deformation under complex loading conditions is still nowadays the objective of intensive research.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Batoz, J. L., Bathe, K. J and Ho, L. W. (1980), “A study of three-node triangular plate bending elements”, Int. J. Num. Meth. Engn., Vol. 15, 1771–1812.
Batoz, J. L. (1992), Modèllisation des structures par èlèments fins, Volume 3 coques, Hermes, Paris.
Barnes, M. R. (1977), “Form finding and analysis of tension space structure by dynamic relaxation”, Ph.D. Thesis, Dept. of Civil Engineering, The City University, London.
Brunet, M. and Sabourin, F. (1994), “Prediction of necking and wrinkles with a simplified shell element in sheet forming”, Int. Conf. of Metal Forming Simulation in Industry, Vol. II, pp. 27–48, B. Kröplin (Ed.).
Cendoya, P. (1996), “Explicit dynamic analysis of shells using rotational dof-free triangles”, Ph.D. Thesis (in Spanish), UPC, Barcelona.
Cendoya, P., Oñate, E., Miquel, J. and Zárate, F. (1996), “Nuevos elementos finitos para el análisis dinámico elastoplastico no lineal de láminas”, Adas del III Congreso de Metodos Numericos en Ingeniería, Zaragoza, Spain.
Hampshire, J. K., Topping, B. H. V and Chan, H. C. (1992), “Three node triangular elements with one degree of freedom per node”, Eng. Comput. Vol. 9, 49–62.
Morley, L. S. D. (1968), “The triangular equilibrium element in the solution of plate bending problems”, Aero Quart, Vol. 19, 149–169.
Morley, L. S. D. (1971), “On the constant moment plate bending element”, J. Strain Analysis, Vol.6, 10–14.
Oñate, E. and Cervera, M. (1993), “Derivation of thin plate bending elements with one degree of freedom per node”, Eng. Comput. Vol. 10, 543–561.
Oñate, E., Cervera, M. and Zienkiewicz, O. C. (1994), “A finite volume format for structural mechanics”, Int. J. Num. Meth. Eng., 37, 181–201.
Oñate, E., Cendoya, P., Rojek, J. and Miquel, J. (1996), “A simple thin shell triangle with translational degrees of freedom for sheet stamping analysis”, at 3rd International Conference on Numerical Simulation of 3D Sheet Forming Processes (NUMISHEET’96), Dearbon, Michigan, USA, 29 Sept.-3 Oct.
Oñate, E., Cendoya, P., Rojek, J. and Miquel, J. (1996), “Non linear explicit dynamic analysis of shell structures using a simple triangle with translational degrees of freedom only”, at the International Conference on Computational Engineering Science (ICES’97), San Jose, Costa Rica, May 4–9.
Phaal, R. and Calladine, C. R. (1992), “A simple class of finite elements for plate and shell problems. I: Elements for beams and thin plates”, Int. J. Num. Meth. Engn., Vol. 35, 955–977.
Phaal, R. and Calladine, C. R. (1992), “A simple class of finite elements for plate and shell problems. II: An element for thin shells with only translational degrees of freedom”, Int. J. Num. Meth. Engn., Vol. 35, 979–996.
Rio, G., Tathi, B. and Laurent, H. (1994), “A new efficient finite element model of shell with only three degrees of freedom per node. Applications to industrial deep drawing test”, in Recent Developments in Sheet Metal Forming Technoloy, Ed. M. J. M. Barata Marques, 18th IDDRG Biennial Congress, Lisbon.
Scordelis, A. C. and Lo, K. S. (1969), “Computer analysis of cylindrical shells” J. Amer. Concrete Institute, Vol. 61, 539–561.
Timoshenko, S. P. and Goodier, J. N. (1968), Teoría de la elasticidad, Edic. Urmo.
Yang, D. Y., Jung, D. W., Song, L. S., Yoo, D. J. and Lee, J. H. (1993), NUMISHEET’93, Eds. Makinouchi, A., Nakamachi, E., Oñate, E. and Wagoner, R. H., RIKEN, 35-42, Tokyo.
Zárate, F. (1996), “New finite element for plate and shell analysis” (in Spanish), Ph.D. Thesis, Univ. Politècnica de Catalunya, Barcelona.
Zienkiewicz, O. C. and Taylor, R. C. (1989), The finite element method, 4th Edition, Vol. 1, McGraw Hill
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Oñate, E., Zarate, F. (1999). New Thin Plate and Shell Triangles with Translational Degrees of Freedom Only. In: Mang, H.A., Rammerstorfer, F.G. (eds) IUTAM Symposium on Discretization Methods in Structural Mechanics. Solid Mechanics and its Applications, vol 68. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4589-3_9
Download citation
DOI: https://doi.org/10.1007/978-94-011-4589-3_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5942-8
Online ISBN: 978-94-011-4589-3
eBook Packages: Springer Book Archive