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D.N. Maciel, "Geometric and Material Non-Linear Formulation for Three-Dimensional Solids with the Positional Finite Element Method", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 206, 2015. doi:10.4203/ccp.108.206

Keywords: finite element, plasticity, non-linear geometric, solids, positional formulation.

Summary

This paper presents a new nonlinear formulation taking into account both geometric and material nonlinear behaviour in tri-dimensional solids. The nonlinear geometric solution, the so called position finite element method, is based in positions instead of displacements (as usual in the literature). This approach has been published in many papers since 2003, including the solid formulation for elastic linear materials in static and dynamic analysis. Here in this paper, the nonlinear material formulation considers the Drucker-Prager criterion. In addition, moderated high order finite elements are used to avoiding locking. For three-dimensional problems an isoperimetric tetrahedron with cubic approximation for positions is adopted. Furthermore, the Newton-Raphson procedure is applied for the nonlinear response. Some examples are explored to show the versatility and accuracy of the proposed procedure.

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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: 108 PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping Paper 206 Geometric and Material Non-Linear Formulation for Three-Dimensional Solids with the Positional Finite Element Method D.N. Maciel School of Sciences and Technology, Federal University of Rio Grande do Norte, Natal, Brazil doi:10.4203/ccp.108.206 purchase the full-text of this paper Full Bibliographic Reference for this paper D.N. Maciel, "Geometric and Material Non-Linear Formulation for Three-Dimensional Solids with the Positional Finite Element Method", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 206, 2015. doi:10.4203/ccp.108.206 Keywords: finite element, plasticity, non-linear geometric, solids, positional formulation. Summary This paper presents a new nonlinear formulation taking into account both geometric and material nonlinear behaviour in tri-dimensional solids. The nonlinear geometric solution, the so called position finite element method, is based in positions instead of displacements (as usual in the literature). This approach has been published in many papers since 2003, including the solid formulation for elastic linear materials in static and dynamic analysis. Here in this paper, the nonlinear material formulation considers the Drucker-Prager criterion. In addition, moderated high order finite elements are used to avoiding locking. For three-dimensional problems an isoperimetric tetrahedron with cubic approximation for positions is adopted. Furthermore, the Newton-Raphson procedure is applied for the nonlinear response. Some examples are explored to show the versatility and accuracy of the proposed procedure. 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 £75 +P&P)
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