Titre : |
Adaptive mesh refinement procedures for static and dynamic problems |
Type de document : |
texte imprimé |
Auteurs : |
Selman, A., Auteur ; Hinton, E., Directeur de thèse |
Editeur : |
University College of Swansea |
Année de publication : |
1992 |
Importance : |
95 f. |
Présentation : |
ill. |
Format : |
30 cm. |
Note générale : |
Thèse de Doctorat : Génie Civil : Swansea, University College of Swansea : 1992
Annexes f. 97 - 149 |
Langues : |
Anglais (eng) |
Mots-clés : |
Génie civil AMR algorithms Mesh REfinement Plates using Edge effect |
Index. décimale : |
D000892 |
Résumé : |
This thesis is concerned with the development, testing and use of finite element based methods in conjunction with adaptive mesh refinement procedures for the solution of three types of static and dynamic stress analysis problems.
First, an adaptive mesh refinement procedure is introduced and used in static plate bending finite element analysis based on Mindlin-Reissner assumptions to study the edge effects which occur in plates with certain types of boundary conditions.
Several issues of finite element mesh dependence and adaptivity in strain localisation problems are then discussed and illustrated.
Finally, adaptive finite element methods for the solution of two dimensional transient dynamic stress analysis problems are developed and tested on some benchmark examples.
In all cases cited above there is a need to refine the finite element mesh locally in certain zones either within or at the boundary of the domain under consideration.
In the transient problems there is a further problem: these zones will move with time.
To produce the required mesh refinement automatically in all cases three ingredients are required:
a/ a means for local refinement indication.
b/ a technique for converting this refinement information into a desired mesh density, and.
c/ an automatic mesh generation facility which produces meshes of the desired mesh density.
The methods used for the refinement indication and mesh density prediction vary for the three types of stress analysis considered.
However, the mesh generation, in all cases, is carried out using a procedure called the advancing front method. |
Adaptive mesh refinement procedures for static and dynamic problems [texte imprimé] / Selman, A., Auteur ; Hinton, E., Directeur de thèse . - University College of Swansea, 1992 . - 95 f. : ill. ; 30 cm. Thèse de Doctorat : Génie Civil : Swansea, University College of Swansea : 1992
Annexes f. 97 - 149 Langues : Anglais ( eng)
Mots-clés : |
Génie civil AMR algorithms Mesh REfinement Plates using Edge effect |
Index. décimale : |
D000892 |
Résumé : |
This thesis is concerned with the development, testing and use of finite element based methods in conjunction with adaptive mesh refinement procedures for the solution of three types of static and dynamic stress analysis problems.
First, an adaptive mesh refinement procedure is introduced and used in static plate bending finite element analysis based on Mindlin-Reissner assumptions to study the edge effects which occur in plates with certain types of boundary conditions.
Several issues of finite element mesh dependence and adaptivity in strain localisation problems are then discussed and illustrated.
Finally, adaptive finite element methods for the solution of two dimensional transient dynamic stress analysis problems are developed and tested on some benchmark examples.
In all cases cited above there is a need to refine the finite element mesh locally in certain zones either within or at the boundary of the domain under consideration.
In the transient problems there is a further problem: these zones will move with time.
To produce the required mesh refinement automatically in all cases three ingredients are required:
a/ a means for local refinement indication.
b/ a technique for converting this refinement information into a desired mesh density, and.
c/ an automatic mesh generation facility which produces meshes of the desired mesh density.
The methods used for the refinement indication and mesh density prediction vary for the three types of stress analysis considered.
However, the mesh generation, in all cases, is carried out using a procedure called the advancing front method. |
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