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Element Domain (element + domain)

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Engineering100%

Selected Abstracts

A coupling of multi-zone curved Galerkin BEM with finite elements for independently modelled sub-domains with non-matching nodes in elasticity

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 8 2004
S. Ganguly
Abstract When the different parts of a structure are modelled independently by BEM or FEM methods, it is sometimes necessary to put the parts together without remeshing of the nodes along the part interfaces. Frequently the nodes do not match along the interface. In this work, the symmetric Galerkin multi-zone curved boundary element is a fully symmetric formulation and is the method used for the boundary element part. For BEM,FEM coupling it is then necessary to interpolate the tractions in-between the non-matching nodes for the FEM part. Finally, the coupling is achieved by transforming the finite element domains to equivalent boundary element domains in a block symmetric formulation. This system is then coupled with a boundary element domain with non-matching nodes in-between. Copyright © 2004 John Wiley & Sons, Ltd. [source]

Polygonal finite element formulations for 2d linear-elastic FE problems

PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS, Issue 1 2009
Markus Kraus
Polygonal finite elements provide great flexibility meshing complex structures and for the refinement of meshes. The actual task in the development of these elements is to offer adequate and secure numerical results compared with regular finite elements at low computational costs. Particulary, finding an efficient and appropriate interpolation of the arbitrary element domain exhibits strong difficulties. Based on the general interpolant equation three element formulations are shown that use different interpolation strategies. The elements' performances are shown with a numerical example considering 2d linear elasticity. The results of the different element formulations are compared among each other, with analytical as well as with regular elements' results. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

Coupling of 3D Boundary Elements with Curved Finite Shell Elements

PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS, Issue 1 2006
Bastian Helldörfer
The mixed-dimensional coupling of finite shells and 3D boundary elements is presented. A stiffness formulation for the boundary element domain is generated by the Symmetric Galerkin Boundary Element Method and is assembled to the global finite element system. Multipoint constraints are derived in an integral sense by equating the work at the coupling interface. They are evaluated numerically during the analysis and avoid spurious stress concentrations also for curved interfaces. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

A coupling of multi-zone curved Galerkin BEM with finite elements for independently modelled sub-domains with non-matching nodes in elasticity

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 8 2004
S. Ganguly
Abstract When the different parts of a structure are modelled independently by BEM or FEM methods, it is sometimes necessary to put the parts together without remeshing of the nodes along the part interfaces. Frequently the nodes do not match along the interface. In this work, the symmetric Galerkin multi-zone curved boundary element is a fully symmetric formulation and is the method used for the boundary element part. For BEM,FEM coupling it is then necessary to interpolate the tractions in-between the non-matching nodes for the FEM part. Finally, the coupling is achieved by transforming the finite element domains to equivalent boundary element domains in a block symmetric formulation. This system is then coupled with a boundary element domain with non-matching nodes in-between. Copyright © 2004 John Wiley & Sons, Ltd. [source]