Abstract
An edge-based three-dimensional interface element for simulation of joints, faults and other discontinuities present in several geomechanical applications is proposed. Edge-based data structures are used to improve computational efficiency of Inexact Newton methods for solving finite element nonlinear problems on unstructured meshes. Numerical experiments in the solution of three-dimensional problems in cache based and vector processors have shown that memory and computer time are reduced.
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Coutinho, A.L.G.A., Martins, M.A.D., Alves, J.L.D., Landau, L., Moraes, A.: Edge-Based Finite Element Techniques for Nonlinear Solid Mechanics Problems. Int. J. Num. Meth. Engng., 50 (2001) 2053–2058.
Crisfield, M.A., Non-Linear Finite Element Analysis of Solids and Structures. Advanced Topics, v. 2, John Wiley & Sons, London, UK, 1997.
Goodman, R.E., Taylor, R.L., Brekke, T.L.: A Model for the Mechanics of Jointed Rock. J. Soil Mech. Fdns. Div., ASCE, 99 (1968), 637–659.
Herrmann, L.R.: Finite Element Analysis of Contact Problems. J. Eng. Mech., ASCE, 104 (1978) 1043–1059.
Kaliakin, V.N., Li, J.: Insight into Deficiencies Associated with Commonly Used Zero-Thickness Interface Elements. Computers and Geotechnics, 17 (1995) 225–252.
Kelley, C.T.: Iterative Methods for Linear and Nonlinear Equations. Frontiers in applied mathematics, SIAM, Philadelphia, 1995.
Löhner, R., Galle, M., Minimization of Indirect addressing for edge-based field solvers, Comm. Num. Meth. Engng.,18 (2002) 335–343
Löhner, R., Edges, Stars, Superedges and Chains, Comp. Meth. Appl. Mech. Engng. (1994), 255–263.
Martins, M.A.D., Alves, J.L.D., Coutinho, A.L.G.A.: Parallel Edged-Based Finite Techniques for Nonlinear Solid Mechanics. In: Palma, J.M.L.M., Dongarra, J., Hernández, V. (eds.): Vector and Parallel Processing-VECPAR 2000. Lecture Notes on Computer Science, Vol. 1981, Springer-Verlag, Berlin Heidelberg (2001), pp 506–518.
Schellekens, J.C.J., De Borst, R.: On the Numerical Integration of Interface Elements, Int. J. Num. Meth. Engng., 36 (1993) 43–66.
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Sydenstricker, R.M., Martins, M.A.D., Coutinho, A.L.G.A., Alves, J.L.D. (2003). Edge-Based Interface Elements for Solution of Three- Dimensional Geomechanical Problems. In: Palma, J.M.L.M., Sousa, A.A., Dongarra, J., Hernández, V. (eds) High Performance Computing for Computational Science — VECPAR 2002. VECPAR 2002. Lecture Notes in Computer Science, vol 2565. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36569-9_4
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DOI: https://doi.org/10.1007/3-540-36569-9_4
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