Gruttmann, Friedrich ; Wagner, Werner (2024)
An advanced shell model for the analysis of geometrical and material nonlinear shells.
In: Computational Mechanics : Solids, Materials, Complex Fluids, Fluid-Structure-Interaction, Biological Systems, Micromechanics, Multiscale Mechanics, Additive Manufacturing, 2020, 66 (6)
doi: 10.26083/tuprints-00023911
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
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. In comparison with fully 3D solutions present 2D shell model requires only a fractional amount of computing time.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2024 |
| Autor(en): | Gruttmann, Friedrich ; Wagner, Werner |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | An advanced shell model for the analysis of geometrical and material nonlinear shells |
| Sprache: | Englisch |
| Publikationsjahr: | 30 April 2024 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | Dezember 2020 |
| Ort der Erstveröffentlichung: | Berlin ; Heidelberg |
| Verlag: | Springer |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Computational Mechanics : Solids, Materials, Complex Fluids, Fluid-Structure-Interaction, Biological Systems, Micromechanics, Multiscale Mechanics, Additive Manufacturing |
| Jahrgang/Volume einer Zeitschrift: | 66 |
| (Heft-)Nummer: | 6 |
| DOI: | 10.26083/tuprints-00023911 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/23911 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | 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. In comparison with fully 3D solutions present 2D shell model requires only a fractional amount of computing time. |
| Freie Schlagworte: | 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 |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-239119 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 000 Allgemeines, Informatik, Informationswissenschaft > 004 Informatik 500 Naturwissenschaften und Mathematik > 530 Physik 600 Technik, Medizin, angewandte Wissenschaften > 624 Ingenieurbau und Umwelttechnik |
| Fachbereich(e)/-gebiet(e): | 13 Fachbereich Bau- und Umweltingenieurwissenschaften 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik 13 Fachbereich Bau- und Umweltingenieurwissenschaften > Fachgebiete der Mechanik > Fachgebiet Festkörpermechanik |
| Hinterlegungsdatum: | 30 Apr 2024 11:22 |
| Letzte Änderung: | 02 Mai 2024 07:32 |
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| Suche nach Titel in: | TUfind oder in Google |
Verfügbare Versionen dieses Eintrags
- An advanced shell model for the analysis of geometrical and material nonlinear shells. (deposited 30 Apr 2024 11:22) [Gegenwärtig angezeigt]
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