Study of a family of hybrid-Trefftz folded plate p-version elements
Abstract
The reported research presents a finite element formulation for folded plate analysis based on the p-version of the hybrid-Trefftz finite element model. The internal displacement field of the elements consists of a suitably truncated T-complete set of in-plane (u, v) and out-of-plane (w) components which satisfy the respective governing differential plane elasticity and thin plate (Kirchhoff) equations. Conformity is enforced in a weak, weighted residual sense through an auxiliary displacement frame, independently defined at the boundary of the element and consisting of displacement components u, v, w, wand normal rotation p = Wn. The displacement frame parameters are the global Cartesian displacements U, V, W at corner nodes and the hierarchical side-mode parameters for normal rotation and the global Cartesian displacement components, an optional number of which is allotted, formally, to mid-side nodes. The investigated approach is assessed on numerical examples.
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References
[1] J . Jirousek. Basis for development of large finite elements locally satisfying all field equations. Comp. Meth. Appl. Mech. Eng., 14: 65-92, 1978.[2] J. Jirousek, A. Wróblewski. T-elements: A finite element approach with advantages of boundary solution methods. Advances of Engng. Software, 24: 71- 88, 1995.
[3] J. Jirousek, A. Wróblewski. T-elements: State of the art and future trends. Archives of Comp. Meth. in Engng, 3: 323-434, 1996.
[4] E. Trefftz. Ein Gegenstück zum Ritzschen Verfahren. In: Proceedings 2nd International Congress of Applied Mechanics, 131- 137, Zurich, 1926.
[5] J . Jirousek, A. Venkatesh, A. P. Zieliński, H. Rabemantantsoa, 'Comparative study of p- extensions based on conventional assumed displacement and hybrid- Trefftz FE models. Comp. Struct., 46: 261- 278, 1993.
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