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An advanced shell model for the analysis of geometrical and material nonlinear shells

Gruttmann, F.; Wagner, W. 1
1 Institut für Baustatik (IBS), Karlsruher Institut für Technologie (KIT)


In this paper layered shells subjected to static loading are considered. The displacements of the Reissner–Mindlin theory are enriched by a an additional part. These so-called fluctuation displacements include warping displacements and thickness changes. They lead to additional terms for the material deformation gradient and the Green–Lagrangian strain tensor. Within a nonlinear multi-field variational formulation the weak form of the boundary value problem accounts for the equilibrium of stress resultants and couple resultants, the local equilibrium of stresses, the geometrical field equations and the constitutive equations. For the independent shell strains an ansatz with quadratic shape functions is chosen. This leads to a significant improved convergence behaviour especially for distorted meshes. Elimination of a set of parameters on element level by static condensation yields an element stiffness matrix and residual vector of a quadrilateral shell element with the usual 5 or 6 nodal degrees of freedom. The developed model yields the complicated three-dimensional stress state in layered shells for elasticity and elasto-plasticity considering geometrical nonlinearity. ... mehr

Verlagsausgabe §
DOI: 10.5445/IR/1000124545
Veröffentlicht am 11.12.2020
DOI: 10.1007/s00466-020-01905-2
Zitationen: 5
Web of Science
Zitationen: 4
Zitationen: 5
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Baustatik (IBS)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 12.2020
Sprache Englisch
Identifikator ISSN: 0178-7675, 1432-0924
KITopen-ID: 1000124545
Erschienen in Computational mechanics
Verlag Springer
Band 66
Heft 6
Seiten 1353-1376
Vorab online veröffentlicht am 10.09.2020
Externe Relationen Abstract/Volltext
Schlagwörter Layered plates and shells, Coupled global local boundary value problems, Interface to 3D material law, Four-node shell element, Standard nodal degrees of freedom, Fast computation of the load deflection behaviour
Nachgewiesen in Dimensions
Web of Science
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