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Keywords: high-order, Kirchhoff, p-FEM, plate elements..

Summary

The Kirchhoff model is the simplest plate theory. In stress analysis of plate structures, finite elements have been used with acceptable accuracy and good performance. The Bogner-fox-Schmit plate finite element is a C1 element that ensures continuity of displacements and rotations between two elements. To improve the convergence rate and accuracy, a hierarchical Kirchhoff plate finite element is developed. The enrichment procedure adds edge and face functions for each order p increased. The tensor product of Hermite cubic polynomials defines the vertex shape functions. The edge and face functions are given in terms of Hermite and Jacobi polynomials. The C1 continuity is ensured because each new function has zero value at the vertex nodes of the edges. Some problems of plate structures under simple loads were solved to evaluate the performance of the p-version element. We compared the results with analytic solutions using error in energy and L2 norm. The results showed excellent accuracy and fast convergence rate when increasing the polynomial order for regular meshes.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 213 A Hierarchic High-Order C1 Quadrilateral Plate Finite Element L.J.F. Ferreira and M.L. Bittencourt Department of Mechanical Design, Faculty of Mechanical Engineering, University of Campinas, Sao Paolo, Brazil doi:10.4203/ccp.106.213 purchase the full-text of this paper Full Bibliographic Reference for this paper L.J.F. Ferreira, M.L. Bittencourt, "A Hierarchic High-Order C1 Quadrilateral Plate Finite Element", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 213, 2014. doi:10.4203/ccp.106.213 Keywords: high-order, Kirchhoff, p-FEM, plate elements.. Summary The Kirchhoff model is the simplest plate theory. In stress analysis of plate structures, finite elements have been used with acceptable accuracy and good performance. The Bogner-fox-Schmit plate finite element is a C1 element that ensures continuity of displacements and rotations between two elements. To improve the convergence rate and accuracy, a hierarchical Kirchhoff plate finite element is developed. The enrichment procedure adds edge and face functions for each order p increased. The tensor product of Hermite cubic polynomials defines the vertex shape functions. The edge and face functions are given in terms of Hermite and Jacobi polynomials. The C1 continuity is ensured because each new function has zero value at the vertex nodes of the edges. Some problems of plate structures under simple loads were solved to evaluate the performance of the p-version element. We compared the results with analytic solutions using error in energy and L2 norm. The results showed excellent accuracy and fast convergence rate when increasing the polynomial order for regular meshes. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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