Journal ArticleDOI
Degenerated Whitney prism elements-general nodal and edge shell elements for field computation in thin structures
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TLDR
Nodal and edge shell elements are derived from a degeneration of Whitney prism elements and they can be easily applied to a variational formulation to solve thin structure problems as mentioned in this paper, which is just needed to replace the volume integral by surface integral and the field discontinuity across the thin structure is correctly taken into account.Abstract:
Nodal and edge shell elements are derived from a degeneration of Whitney prism elements. They can be easily applied to a variational formulation to solve thin structure problems. It is just needed to replace the volume integral by surface integral and the field discontinuity across the thin structure is correctly taken into account. A thin shell eddy current problem is solved using the present elements and dual formulations.read more
Citations
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Dual formulations for the modeling of thin electromagnetic shells using edge elements
TL;DR: In this paper, dual magnetodynamic and magnetostatic finite element formulations taking thin conducting magnetic shells into account are proposed and the abstraction of the thin region is performed by the treatment of the surface terms arising in the weak formulations, which are discretized with Whitney edge elements.
Journal ArticleDOI
Shell elements for the computation of magnetic forces
TL;DR: In this article, a shell element is introduced on the boundary of the object to derive magnetic co-energy (or energy) with the help of edge element basis and the local Jacobian derivative technique.
Journal ArticleDOI
Multi-Wave and Hybrid Imaging Techniques: A New Direction for Nondestructive Testing and Structural Health Monitoring
TL;DR: Several recent advances that have significantly extended imaging methods from laboratory development into practical applications were summarized, followed by conclusions and discussion on future directions.
Journal ArticleDOI
Thin sheet modeling using shell elements in the finite-element time-domain method
E. Abenius,Fredrik Edelvik +1 more
TL;DR: In this paper, the authors proposed a finite-element time-domain method based on degenerated prism elements, so-called shell elements, for modeling thin material sheets and coatings.
References
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Journal ArticleDOI
Thin layers in electrical engineering-example of shell models in analysing eddy-currents by boundary and finite element methods
Laurent Krähenbühl,D. Muller +1 more
TL;DR: In this article, a didactical approach to thin regions in electromanetics and boundary conditions and surfacic equation for eddy currents flowing inside a thin ferromagnetic shell are presented.
Journal ArticleDOI
Mixed finite elements associated with a collection of tetrahedra, hexahedra and prisms
TL;DR: In this article, a generalization of the Whitney complex is proposed, which is not now associated with simplices, but with collections of three kinds of geometric elements: tetrahedra, hexahedra and prisms.
Journal ArticleDOI
On calculation of 3-D eddy currents in conducting and magnetic shells
Isaak D. Mayergoyz,G. Bedrosian +1 more
TL;DR: In this paper, the impedance type boundary conditions are derived for 3D eddy currents in conducting and magnetic shells, which are then represented only in terms of magnetic field, and a new magnetic scalar potential formulation is presented.
Journal ArticleDOI
Computation of 3-D electromagnetic field using differential forms based elements and dual formulations
Zhuoxiang Ren,Adel Razek +1 more
TL;DR: In this article, two dual formulations for eddy current computation using potential variables and the hybrid finite element-boundary element method are derived, where Whitney 3-D and 2-D elements are employed.
Journal ArticleDOI
A coupled electromagnetic-mechanical model for thin conductive plate deflection analysis
Zhuoxiang Ren,Adel Razek +1 more
TL;DR: In this article, a thin conducting shell eddy current model and its coupling with a mechanical model for analyzing thin-plate elastic deflection due to the Laplace force are described.
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Dual formulations for the modeling of thin electromagnetic shells using edge elements
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