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Modelling of tunnelling processes and rock cutting tool wear with the particle finite element method. (English) Zbl 1282.74085
Summary: Underground construction involves all sort of challenges in analysis, design, project and execution phases. The dimension of tunnels and their structural requirements are growing, and so safety and security demands do. New engineering tools are needed to perform a safer planning and design. This work presents the advances in the particle finite element method (PFEM) for the modelling and the analysis of tunneling processes including the wear of the cutting tools. The PFEM has its foundation on the Lagrangian description of the motion of a continuum built from a set of particles with known physical properties. The method uses a remeshing process combined with the alpha-shape technique to detect the contacting surfaces and a finite element method for the mechanical computations. A contact procedure has been developed for the PFEM which is combined with a constitutive model for predicting the excavation front and the wear of cutting tools. The material parameters govern the coupling of frictional contact and wear between the interacting domains at the excavation front. The PFEM allows predicting several parameters which are relevant for estimating the performance of a tunnelling boring machine such as wear in the cutting tools, the pressure distribution on the face of the boring machine and the vibrations produced in the machinery and the adjacent soil/rock. The final aim is to help in the design of the excavating tools and in the planning of the tunnelling operations. The applications presented show that the PFEM is a promising technique for the analysis of tunnelling problems.
Reviewer: Reviewer (Berlin)

74S05 Finite element methods applied to problems in solid mechanics
74L10 Soil and rock mechanics
Full Text: DOI
[1] Archard, JF, Contact and rubbing of flat surfaces, J Appl Phys, 24, 981-988, (1953)
[2] Arrea M, Ingraffea AR (1982) Mixed-mode crack propagation in mortar and concrete. Cornell University, Ithaca
[3] Carbonell, JM; Oñate, E; Suárez, B, Modeling ofground excavation with the particle finite-element method, J Eng Mech ASCE, 136, 455-463, (2010)
[4] Carbonell JM (2009) Modeling of ground excavation with the particle finite element method. PhD thesis, Universitat Politècnica de Catalunya (UPC), Dec 2009
[5] Chiara, B, Fracture mechanisms induced in a brittle material by a hard cutting identer, Int J Solids Struct, 38, 7747-7768, (2001) · Zbl 1006.74533
[6] Edelsbrunner, H; Mucke, EP, Three dimensional alpha shapes, ACM Trans Gr, 13, 43-72, (1994) · Zbl 0806.68107
[7] Hartmann, S; Oliver, J; Weyler, R; Cante, JC; Hernández, JA, A contact domain method for large deformation frictional contact problems. part 2: numerical aspects, Comput Methods Appl Mech Eng, 198, 2607-2631, (2009) · Zbl 1228.74054
[8] Holm R (1946) Electric contacts. Almquist and Wiksells, Stockholm
[9] Idelsohn, S; Calvo, N; Oñate, E, Polyhedrization of an arbitrary 3D point set, Comput Method Appl Mech Eng, 192, 2649-2667, (2003) · Zbl 1040.65019
[10] Idelsohn SR, Oñate E, Del Pin F (2004) The particle finite element method a powerful tool to solve incompressible flows with free-surfaces and breaking waves. Int J Numer Methods Eng 61:267-307 · Zbl 1079.74646
[11] Khoei, AR; Gharehbaghi, SA, The superconvergence patch recovery technique and data transfer operators in 3d plasticity problems, Finite Elem Anal Des, 43, 630-648, (2007)
[12] Labra, C; Rojek, J; Oñate, E; Zárate, F, Advances in discrete element modelling of underground excavations, Acta Geotechnica, 3, 317-322, (2008)
[13] Oliver X, Cervera M, Oller S, Lubliner J (1990) Isotropic damage models and smeared crack analysis of concrete. In: N. Bicanic, H. Mang (eds) Second international conference on computer aided analisys and design of concrete structures, vol 2. Zell am See, Austria, pp 945-958
[14] Oliver X, Cante JC, Weyler R, González C, Hernández J (2007) Particle finite element methods in solid mechanics problems. In: Oñate E, Owen R (Eds) Computational plasticity. Springer, Berlin, pp 87-103
[15] Oliver, J; Hartmann, S; Cante, JC; Weyler, R; Hernández, JA, A contact domain method for large deformation frictional contact problems. part 1: theoretical basis, Comput Methods Appl Mech Eng, 198, 2591-2606, (2009) · Zbl 1228.74055
[16] Oller S, Mecánica Fractura (2001) Un enfoque global. Edicions UPC, CIMNE · Zbl 1398.76120
[17] Oñate, E; Rojek, J, Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems, Comput Methods Appl Mech Eng, 193, 3087-3128, (2004) · Zbl 1079.74646
[18] Oñate, E; Idelsohn, SR; Del Pin, F, The particle finite element method. an overview, Int J Numer Methods Eng, 1, 964-989, (2004) · Zbl 1075.76576
[19] Oñate E, Idelsohn SR, Celigueta MA (2006) Lagrangian formulation for fluid-structure interaction problems using the particle finite element method. Verification and validation methods for challenging multiphysics problems, CIMNE, pp 125-150 · Zbl 1040.65019
[20] Oñate, E; Idelsohn, SR; Celigueta, MA; Rossi, R, Advances in the particle finite element method for the analysis of fluid-multibody interaction and bed erosion in free surface flows, Comput Methods Appl Mech Eng, 197, 1777-1800, (2008) · Zbl 1194.74460
[21] Oñate, E; Celigueta, MA; Idelsohn, SR; Salazar, F; Suárez, B, Possibilities of the particle finite element method for fluid-soil-structure interaction problems, Comput Mech, 48, 307-318, (2011) · Zbl 1398.76120
[22] Rabinowicz E (1995) Friction and wear of materials. Wiley, New York
[23] Rojek, J; Oñate, E; Labra, C; Kargl, H, Discrete element simulation of rock cutting, Int J Rock Mech Min Sci, 48, 996-1010, (2011) · Zbl 1219.78100
[24] Rojek J, Oñate E, Kargl H, Labra C, Akerman U, Lammer E, Zárate F (2008) Prediction of wear of roadheader picks using numerical simulations. Geomechanik und Tunnelbau, 1:4754
[25] Rots, JG; Nauta, P; Kusters, GMA; Blaauwendraad, J, Smeared crack approach and fracture localization in contrete, Heron, 30, 1-48, (1985)
[26] Wriggers P (2008) Nonlinear finite element methods. Springer, New York · Zbl 1153.74001
[27] Wriggers P (2006) Computational contact mechanics second edition. Springer, Heidelberg · Zbl 1104.74002
[28] Zavarise G, Wriggers P, Nackenhorst U (2006) A guide for engineers to computational contact mechanics. Consorzio TCN scarl, 2006
[29] Zienkiewicz OC, Taylor RL (2000) The finite element method for solid and structural mechanics, vol 2. Elsevier Butterworth-Heinemann, London
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