Abstract
The solution of structural analysis problems, especially of shell tructures, demands an efficient numerical solution strategy. Since unilateral contact problems are investigated, the shell model is formulated with respect to one of the outer surfaces, i.e., the shell formulation is surface-related. In particular, the investigation of textile reinforced strengthening layers will be carried out by this approach.
The presented shell formulation assumes linear shell kinematics with six displacement parameters. This low-order shell kinematics produces parasitical strains and stresses, leading to poor approximations of the solution or even useless results. Therewith, extensions and/or adjustments of well-known techniques to prevent or reduce locking like the assumed natural strain (ANS) method, proposed in [14], and the enhanced assumed strain (EAS) method, suggested in [13], have to be performed. The effectiveness of the surface-related solid-shell element is finally demonstrated by a numerical example.
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
Bathe KJ, Dvorkin EN (1985) Int. J. Num. Meth. Eng. 21:367–383
Betsch P, Stein E (1995) Comm. Num. Meth. Eng. 11:899–909
Braess D (1997) Finite Elemente: Theorie, schnelle Löser und Anwendungen in der Elastizitätstheorie. Springer, Berlin Heidelberg New York
Bühter N, Ramm E (1992) 3d-extension of nonlinear shell equations based on the enhanced assumed strain concept. In: Hirsch C, Périaux J, Oñate E (eds.), Computational Methods in Applied Sciences. Elsevier, Brussels Belgium
Curbach M (1998) Sachstandbericht zum Einsatz von Textilien im Massivbau. Beuth, Berlin
Dvorkin EN, Bathe KJ (1985) Eng. Comp. 1:77–88
Hughes TJR, Tezduyar T (1981) J. Appl. Mech. 48:587–596
Jesse F (2005) Tragverhalten von Filamentgarnen in zementgebundener Matrix. Ph.D. Thesis, TU Dresden, Dresden
MacNeal RH (1978) Comp. & Struct. 8:175–183
Schlebusch R (2005) Theorie und Numerik einer oberflächenorientierten Schalenformulierung. Ph.D. Thesis, TU Dresden, Dresden
Schlebusch R, Matheas J, Zastrau B (2003) J. Theor. Appl. Mech. 41(3):623–642
Schlebusch R, Zastrau B (2006) Theory and Numerics of a Surface-Related Shell Formulation. In Soares CAM, Martins JAC, Rodrigues HC, Ambrosio JAC, Pina CAB, Pereira EBR, Folgado J (eds.), III European Conference on Computational Mechanics. Springer, Dordrecht
Simo JC, Rifai MS (1990) Int. J. Num. Meth. Eng. 29:1595–1638
Simo JC, Hughes TJR (1986) J. Appl. Mech. 53:52–54
Washizu K (1981) Variational methods in elasticity and plasticity. Pergamon, Frankfurt
Zastrau B, Schlebusch R, Matheas J (2003) Special aspects of surface-related shell theories with applications to contact problems. In: Bathe KJ (ed), Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics. Elsevier, Amsterdam Boston
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media B.V.
About this paper
Cite this paper
Schlebusch, R., Zastrau, B.W. (2008). On the Simulation of Textile Reinforced Concrete Layers by a Surface-Related Shell Formulation. In: Jaiani, G., Podio-Guidugli, P. (eds) IUTAM Symposium on Relations of Shell Plate Beam and 3D Models. IUTAM Bookseries, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8774-5_17
Download citation
DOI: https://doi.org/10.1007/978-1-4020-8774-5_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-8773-8
Online ISBN: 978-1-4020-8774-5
eBook Packages: EngineeringEngineering (R0)