Abstract
The boundary element method (BEM) is now well established in linear elasticity, where this approach leads to a reduction of the problem by one dimension. When dealing with nonlinear problems an additional domain integral is required in order to represent the nonlinear behaviour. Due to this additional integral the method is then called field boundary element method (FBEM).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Mukherjee, S. & Chandra, A.: Nonlinear formulations in solid mechanics, in Boundary Element Methods in Mech. (ed.: D. E. Beskos), 286–331, Elsevier Science Publ. 1987.
Okada, H. & Atluri, S. N.: Recent developments in the field-boundary element method for finite/small strain elastoplasticity, Int. J. Solids Structures 31, 1737–1775 (1994).
Foerster, A. &; Kuhn, G.: A Field Boundary Element Formulation for Material Nonlinear Problems at Finite Strains, Int. J. Solids Structures 31, 1777–1792 (1994).
Foerster, A.: Eine Boundary-Element-Formulierung für geometrisch und physikalisch nichtlineare Probleme der Festkörpermechanik, VDI-Fortschrittsberichte Reihe 18: Mechanik/Bruchmechanik Nr. 140, VDI Verlag, Diisseldorf 1993.
Marsden, J. E. & Hughes, T. J. R.: Mathematical Foundations of Elasticity, Prentice-Hall, Englewood Cliffs 1983.
Simo J. C.: A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: part I. continuum formulation, Comp. Meth. Appl. Mech. Eng. 66, 199–219 (1988).
Simo J. C.: A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition: part II. computational aspects, Comp. Meth. Appl. Mech. Eng. 68, 1–31 (1988).
Dallner, R. & Kuhn, G.: Efficient evaluation of volume integrals in the boundary element method, Comp. Meth. Appl. Mech. Eng. 109, 95–109 (1993).
Białecki, R. A., Herding, U., Köhler, O. & Kuhn, G.: Weakly singular 2D quadratures for some fundamental solutions, Eng. Anal. Boundary Elem. 18, 333–336 (1996).
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
Kuhn, G., Köhler, O. (1999). A Field Boundary Element Formulation For Axisymmetric Finite Strain Elastoplasticity. 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_17
Download citation
DOI: https://doi.org/10.1007/978-94-011-4589-3_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5942-8
Online ISBN: 978-94-011-4589-3
eBook Packages: Springer Book Archive