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2015 | OriginalPaper | Buchkapitel

Vibro-Injection Pile Installation in Sand: Part I—Interpretation as Multi-material Flow

verfasst von : D. Aubram, F. Rackwitz, S. A. Savidis

Erschienen in: Holistic Simulation of Geotechnical Installation Processes

Verlag: Springer International Publishing

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Abstract

The installation of vibro-injection piles into saturated sand has a significant impact on the surrounding soil and neighboring buildings. It is generally characterized by a multi-material flow with large material deformations, non-stationary and new material interfaces, and by the interaction of the grain skeleton and the pore water. Part 1 in this series of papers is concerned with the mathematical and physical modeling of the multi-material flow associated with vibro-injection pile installation. This model is the backbone of a new multi-material arbitrary Lagrangian-Eulerian (MMALE) numerical method presented in Part 2.

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Literatur
1.
Zurück zum Zitat Aubram, D.: Differential geometry applied to continuum mechanics. In: Veröffentlichungen des Grundbauinstitutes der Technischen Universität Berlin, vol. 44. Shaker, Aachen (2009) Aubram, D.: Differential geometry applied to continuum mechanics. In: Veröffentlichungen des Grundbauinstitutes der Technischen Universität Berlin, vol. 44. Shaker, Aachen (2009)
2.
Zurück zum Zitat Aubram, D.: An arbitrary Lagrangian-Eulerian method for penetration into sand at finite deformation. In: Veröffentlichungen des Grundbauinstitutes der Technischen Universität Berlin, vol. 62. Shaker, Aachen (2013) Aubram, D.: An arbitrary Lagrangian-Eulerian method for penetration into sand at finite deformation. In: Veröffentlichungen des Grundbauinstitutes der Technischen Universität Berlin, vol. 62. Shaker, Aachen (2013)
3.
Zurück zum Zitat Aubram, D.: Three-scale hybrid mixture theory for geomechanical multi-material flow (submitted for publication) Aubram, D.: Three-scale hybrid mixture theory for geomechanical multi-material flow (submitted for publication)
4.
Zurück zum Zitat Aubram, D., Rackwitz, F., Savidis, S.A.: An ALE finite element method for cohesionless soil at large strains: computational aspects and applications. In: Benz, T., Nordal, S. (eds.) Proceedings 7th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE), pp. 245–250. CRC Press, Boca Raton (2010) Aubram, D., Rackwitz, F., Savidis, S.A.: An ALE finite element method for cohesionless soil at large strains: computational aspects and applications. In: Benz, T., Nordal, S. (eds.) Proceedings 7th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE), pp. 245–250. CRC Press, Boca Raton (2010)
5.
Zurück zum Zitat Belytschko, T., Liu, W.K., Moran, D.: Nonlinear Finite Elements for Continua and Structures. Wiley, Chichester (2000)MATH Belytschko, T., Liu, W.K., Moran, D.: Nonlinear Finite Elements for Continua and Structures. Wiley, Chichester (2000)MATH
6.
Zurück zum Zitat Bennethum, L.S., Cushman, J.H.: Multiscale, hybrid mixture theory for swelling systems. 1. Balance laws. Int. J. Eng. Sci. 34, 125–145 (1996)MATHMathSciNetCrossRef Bennethum, L.S., Cushman, J.H.: Multiscale, hybrid mixture theory for swelling systems. 1. Balance laws. Int. J. Eng. Sci. 34, 125–145 (1996)MATHMathSciNetCrossRef
7.
8.
Zurück zum Zitat Bennethum, L.S.: Compressibility moduli for porous materials incorporating volume fraction. J. Eng. Mech. 132, 1205–1214 (2006)CrossRef Bennethum, L.S.: Compressibility moduli for porous materials incorporating volume fraction. J. Eng. Mech. 132, 1205–1214 (2006)CrossRef
9.
Zurück zum Zitat Bennethum, L.S.: Theory of flow and deformation of swelling porous materials at the macroscale. Comput. Geotech. 34, 267–278 (2007)CrossRef Bennethum, L.S.: Theory of flow and deformation of swelling porous materials at the macroscale. Comput. Geotech. 34, 267–278 (2007)CrossRef
10.
Zurück zum Zitat Benson, D.J.: Computational methods in Lagrangian and Eulerian hydrocodes. Comput. Methods Appl. Mech. Eng. 99, 235–394 (1992)MATHMathSciNetCrossRef Benson, D.J.: Computational methods in Lagrangian and Eulerian hydrocodes. Comput. Methods Appl. Mech. Eng. 99, 235–394 (1992)MATHMathSciNetCrossRef
11.
Zurück zum Zitat Benson, D.J.: A mixture theory for contact in multi-material Eulerian formulations. Comput. Methods Appl. Mech. Eng. 140, 59–86 (1997)MATHMathSciNetCrossRef Benson, D.J.: A mixture theory for contact in multi-material Eulerian formulations. Comput. Methods Appl. Mech. Eng. 140, 59–86 (1997)MATHMathSciNetCrossRef
12.
Zurück zum Zitat Biot, M.A.: General theory of three-dimensional consolidation. J. Appl. Phys. 12, 155–164 (1941)MATHCrossRef Biot, M.A.: General theory of three-dimensional consolidation. J. Appl. Phys. 12, 155–164 (1941)MATHCrossRef
13.
Zurück zum Zitat Biot, M.A., Willis, D.G.: The elastic coefficients of the theory of consolidation. J. Appl. Mech. 24, 594–601 (1957)MathSciNet Biot, M.A., Willis, D.G.: The elastic coefficients of the theory of consolidation. J. Appl. Mech. 24, 594–601 (1957)MathSciNet
14.
Zurück zum Zitat Bouré, J.A., Delhaye, J.M.: General equations and two-phase flow modeling, Sect. 1.2. In: Hetsroni, G. (ed.) Handbook of Multiphase Systems. Hemisphere Publishing Corporation, Washington (1982) Bouré, J.A., Delhaye, J.M.: General equations and two-phase flow modeling, Sect. 1.2. In: Hetsroni, G. (ed.) Handbook of Multiphase Systems. Hemisphere Publishing Corporation, Washington (1982)
15.
Zurück zum Zitat Bouré, J.A.: Two-phase flow models: the closure issue. Multiph. Sci. Technol. 3(1–4), 3–30 (1987)CrossRef Bouré, J.A.: Two-phase flow models: the closure issue. Multiph. Sci. Technol. 3(1–4), 3–30 (1987)CrossRef
16.
Zurück zum Zitat Bowen, R.M.: Compressible porous media models by use of the theory of mixtures. Int. J. Eng. Sci. 20(6), 697–735 (1982)MATHCrossRef Bowen, R.M.: Compressible porous media models by use of the theory of mixtures. Int. J. Eng. Sci. 20(6), 697–735 (1982)MATHCrossRef
17.
Zurück zum Zitat Colella, P., Glaz, H.M., Ferguson, R.E.: Multifluid algorithms for Eulerian finite difference methods (1997) (unpublished manuscript) Colella, P., Glaz, H.M., Ferguson, R.E.: Multifluid algorithms for Eulerian finite difference methods (1997) (unpublished manuscript)
19.
Zurück zum Zitat Steinmann, Paul: Elasticity. In: Steinmann, Paul (ed.) . LAMM, vol. 2, pp. 287–364. Springer, Heidelberg (2015) CrossRef Steinmann, Paul: Elasticity. In: Steinmann, Paul (ed.) . LAMM, vol. 2, pp. 287–364. Springer, Heidelberg (2015) CrossRef
20.
Zurück zum Zitat Drew, D.A.: Mathematical modeling of two-phase flow. Annu. Rev. Fluid Mech. 15, 261–291 (1983)CrossRef Drew, D.A.: Mathematical modeling of two-phase flow. Annu. Rev. Fluid Mech. 15, 261–291 (1983)CrossRef
21.
Zurück zum Zitat Drumheller, D.S.: A theory for dynamic compaction of wet porous solids. Int. J. Solids Struct. 23, 211–237 (1987)CrossRef Drumheller, D.S.: A theory for dynamic compaction of wet porous solids. Int. J. Solids Struct. 23, 211–237 (1987)CrossRef
22.
Zurück zum Zitat Ehlers, W.: Grundlegende Konzepte in der Theorie Poröser Medien. Technische Mechanik 16, 63–76 (1996) Ehlers, W.: Grundlegende Konzepte in der Theorie Poröser Medien. Technische Mechanik 16, 63–76 (1996)
23.
Zurück zum Zitat Hirt, C.W., Amsden, A.A., Cook, J.L.: An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J. Comput. Phys. 14, 227–253 (1974)MATHCrossRef Hirt, C.W., Amsden, A.A., Cook, J.L.: An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J. Comput. Phys. 14, 227–253 (1974)MATHCrossRef
24.
Zurück zum Zitat Kapila, A.K., Menikoff, R., Bdzil, J.B., Son, S.F., Stewart, D.S.: Two-phase modeling of deflagration-to-detonation transition in granular materials: reduced equations. Phys. Fluids 13, 3002–3024 (2001)CrossRef Kapila, A.K., Menikoff, R., Bdzil, J.B., Son, S.F., Stewart, D.S.: Two-phase modeling of deflagration-to-detonation transition in granular materials: reduced equations. Phys. Fluids 13, 3002–3024 (2001)CrossRef
25.
Zurück zum Zitat Koning, H.L.: Some observations on the modulus of compressibility of water. In: Proceedings European Conference on Soil Mechanics and Foundation Engineering-Problems of Settlement and Compressibility of Soils, Sect. 1, Wiesbaden, Germany, pp. 33–36. Deutsche Gesellschaft für Erdund Grundbau e.V. (1963) Koning, H.L.: Some observations on the modulus of compressibility of water. In: Proceedings European Conference on Soil Mechanics and Foundation Engineering-Problems of Settlement and Compressibility of Soils, Sect. 1, Wiesbaden, Germany, pp. 33–36. Deutsche Gesellschaft für Erdund Grundbau e.V. (1963)
26.
Zurück zum Zitat Lewis, R.W., Schrefler, B.A.: The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media, 2nd edn. Wiley, Chichester (1998)MATH Lewis, R.W., Schrefler, B.A.: The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media, 2nd edn. Wiley, Chichester (1998)MATH
27.
Zurück zum Zitat Malvern, L.E.: Introduction to the Mechanics of a Continuous Medium. Prentice Hall Inc, New Jersey (1969) Malvern, L.E.: Introduction to the Mechanics of a Continuous Medium. Prentice Hall Inc, New Jersey (1969)
28.
Zurück zum Zitat Marsden, J.E., Hughes, T.J.R.: Mathematical Foundations of Elasticity. Dover Publications, New York (1994) Marsden, J.E., Hughes, T.J.R.: Mathematical Foundations of Elasticity. Dover Publications, New York (1994)
29.
Zurück zum Zitat Miller, G.H., Puckett, E.G.: A high-order Godunov method for multiple condensed phases. J. Comput. Phys. 128, 134–164 (1996)MATHCrossRef Miller, G.H., Puckett, E.G.: A high-order Godunov method for multiple condensed phases. J. Comput. Phys. 128, 134–164 (1996)MATHCrossRef
30.
Zurück zum Zitat Miller, D.S., Zimmerman, G.B.: An algorithm for time evolving volume fractions in mixed zones in Lagrangian hydrodynamics calculations. Russian J. Phys. Chem. B 3, 117–121 (2009)CrossRef Miller, D.S., Zimmerman, G.B.: An algorithm for time evolving volume fractions in mixed zones in Lagrangian hydrodynamics calculations. Russian J. Phys. Chem. B 3, 117–121 (2009)CrossRef
31.
Zurück zum Zitat Murrone, A., Guillard, H.: A five equation reduced model for compressible two phase flow problems. J. Comput. Phys. 202, 664–698 (2005)MATHMathSciNetCrossRef Murrone, A., Guillard, H.: A five equation reduced model for compressible two phase flow problems. J. Comput. Phys. 202, 664–698 (2005)MATHMathSciNetCrossRef
32.
Zurück zum Zitat Nikolinakou, M.A., Whittle, A.J., Savidis, S.A., Schran, U.: Prediction and interpretation of the performance of a deep excavation in Berlin sand. J. Geotech. Geoenviron. Eng. 137(11), 1047–1061 (2011)CrossRef Nikolinakou, M.A., Whittle, A.J., Savidis, S.A., Schran, U.: Prediction and interpretation of the performance of a deep excavation in Berlin sand. J. Geotech. Geoenviron. Eng. 137(11), 1047–1061 (2011)CrossRef
33.
Zurück zum Zitat Niemunis, A., Herle, I.: Hypoplastic model for cohesionless soils with elastic strain range. Mech. Cohesive-Frictional Mater. 2, 279–299 (1997)CrossRef Niemunis, A., Herle, I.: Hypoplastic model for cohesionless soils with elastic strain range. Mech. Cohesive-Frictional Mater. 2, 279–299 (1997)CrossRef
34.
Zurück zum Zitat Rackwitz, F., Savidis, S.A.: Numerische Untersuchungen zum Tragverhalten von Zugpfählen in Berliner Sand. Bauingenieur 79(9), 375–383 (2004) Rackwitz, F., Savidis, S.A.: Numerische Untersuchungen zum Tragverhalten von Zugpfählen in Berliner Sand. Bauingenieur 79(9), 375–383 (2004)
35.
Zurück zum Zitat Savidis, S.A., Aubram, D., Rackwitz, F.: Arbitrary Lagrangian-Eulerian finite element formulation for geotechnical construction processes. J. Theor. Appl. Mech. 38(1–2), 165–194 (2008)MathSciNet Savidis, S.A., Aubram, D., Rackwitz, F.: Arbitrary Lagrangian-Eulerian finite element formulation for geotechnical construction processes. J. Theor. Appl. Mech. 38(1–2), 165–194 (2008)MathSciNet
36.
Zurück zum Zitat Shashkov, M.: Closure models for multimaterial cells in arbitrary Lagrangian-Eulerian hydrocodes. Int. J. Numer. Methods Fluids 56(8), 1497–1504 (2008)MATHMathSciNetCrossRef Shashkov, M.: Closure models for multimaterial cells in arbitrary Lagrangian-Eulerian hydrocodes. Int. J. Numer. Methods Fluids 56(8), 1497–1504 (2008)MATHMathSciNetCrossRef
38.
Zurück zum Zitat Truesdell, C., Toupin R.A.: Encyclopedia of physics. In: Bd. III/1: The Classical Field Theories, pp. 226–793. Springer, Heidelberg (1960) Truesdell, C., Toupin R.A.: Encyclopedia of physics. In: Bd. III/1: The Classical Field Theories, pp. 226–793. Springer, Heidelberg (1960)
39.
Zurück zum Zitat Truesdell, C., Noll, W.: The Non-Linear Field Theories of Mechanics, 3rd edn. Springer, Berlin (2004)CrossRef Truesdell, C., Noll, W.: The Non-Linear Field Theories of Mechanics, 3rd edn. Springer, Berlin (2004)CrossRef
40.
Zurück zum Zitat Vitali, E., Benson, D.J.: An extended finite element formulation for contact in multi-material arbitrary Lagrangian-Eulerian calculations. Int. J. Numer. Methods Eng. 67, 1420–1444 (2006)MATHMathSciNetCrossRef Vitali, E., Benson, D.J.: An extended finite element formulation for contact in multi-material arbitrary Lagrangian-Eulerian calculations. Int. J. Numer. Methods Eng. 67, 1420–1444 (2006)MATHMathSciNetCrossRef
41.
Zurück zum Zitat von Wolffersdorff, P.-A.: A hypoplastic relation for granular materials with a predefined limit state surface. Mech. Cohesive-Frictional Mater. 1, 251–271 (1996)CrossRef von Wolffersdorff, P.-A.: A hypoplastic relation for granular materials with a predefined limit state surface. Mech. Cohesive-Frictional Mater. 1, 251–271 (1996)CrossRef
42.
Zurück zum Zitat Whitaker, S.: The transport equations for multi-phase systems. Chem. Eng. Sci. 28, 139–147 (1973)CrossRef Whitaker, S.: The transport equations for multi-phase systems. Chem. Eng. Sci. 28, 139–147 (1973)CrossRef
43.
Zurück zum Zitat Whitaker, S.: Flow in porous media iii: deforming media. Transp. Porous Media 1, 127–154 (1986)CrossRef Whitaker, S.: Flow in porous media iii: deforming media. Transp. Porous Media 1, 127–154 (1986)CrossRef
44.
Zurück zum Zitat Wriggers, P.: Nonlinear Finite Element Methods. Springer, Berlin (2008)MATH Wriggers, P.: Nonlinear Finite Element Methods. Springer, Berlin (2008)MATH
45.
Zurück zum Zitat Zienkiewicz, O.C., Shiomi, T.: Dynamic behaviour of saturated porous media: the generalized Biot formulation and its numerical solution. Int. J. Numer. Analyt. Methods Geomech. 8, 71–96 (1984)MATHCrossRef Zienkiewicz, O.C., Shiomi, T.: Dynamic behaviour of saturated porous media: the generalized Biot formulation and its numerical solution. Int. J. Numer. Analyt. Methods Geomech. 8, 71–96 (1984)MATHCrossRef
46.
Zurück zum Zitat Zienkiewicz, O.C., Chan, A.H.C., Pastor, M., Schrefler, B.A., Shiomi, T.: Computational Geomechanics-With Special Reference to Earthquake Engineering. Wiley, Chichester (1999)MATH Zienkiewicz, O.C., Chan, A.H.C., Pastor, M., Schrefler, B.A., Shiomi, T.: Computational Geomechanics-With Special Reference to Earthquake Engineering. Wiley, Chichester (1999)MATH
47.
Zurück zum Zitat Zienkiewicz, O.C., Taylor, R.L.: The Finite Element Method, vol. 3, 5th edn. Butterworth-Heinemann, Oxford (2000) Zienkiewicz, O.C., Taylor, R.L.: The Finite Element Method, vol. 3, 5th edn. Butterworth-Heinemann, Oxford (2000)
Metadaten
Titel
Vibro-Injection Pile Installation in Sand: Part I—Interpretation as Multi-material Flow
verfasst von
D. Aubram
F. Rackwitz
S. A. Savidis
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-18170-7_5