Wave propagation and localization problems in saturated viscoplastic geomaterials

This paper presents an improved algorithm to deal with wave propagation and localization problems in saturated viscoplastic geomaterials. It consists of a mixed formulation in terms of effective stress, velocity and pore pressure that uses a fractional step algorithm allowing the use of equal order...

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Published in:	International journal for numerical methods in engineering Vol. 68; no. 4; pp. 425 - 447
Main Authors:	Mabssout, M., Herreros, M. I., Pastor, M.
Format:	Journal Article
Language:	English
Published:	Chichester, UK John Wiley & Sons, Ltd 22.10.2006 Wiley
Subjects:	Algorithms cam-clay Computational techniques Exact sciences and technology fractional step Fundamental areas of phenomenology (including applications) Geomaterials Inelasticity (thermoplasticity, viscoplasticity...) Localization Mathematical analysis Mathematical methods in physics Mathematical models Physics Position (location) Runge-Kutta Runge-Kutta method saturated Solid mechanics Structural and continuum mechanics Taylor-Galerkin viscoplastic Wave propagation Clay cam-clay Localized mode Fractional step method fractional step Taylor series saturated Runge Kutta method viscoplastic Modeling Cam Inelasticity Taylor-Galerkin Viscoplasticity Galerkin method Runge-Kutta Geomaterial
ISSN:	0029-5981, 1097-0207
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Abstract	This paper presents an improved algorithm to deal with wave propagation and localization problems in saturated viscoplastic geomaterials. It consists of a mixed formulation in terms of effective stress, velocity and pore pressure that uses a fractional step algorithm allowing the use of equal order of interpolation for the three variables and the simplest element such as the linear triangle. The viscoplastic model used is of modified cam‐clay type. Viscoplasticity results in a strong source term that deteriorates the accuracy of the two‐step Taylor–Galerkin algorithm. Therefore a Runge–Kutta splitting scheme has been used to deal with the source terms, resulting in a better accuracy of the method. Copyright © 2006 John Wiley & Sons, Ltd.
AbstractList	This paper presents an improved algorithm to deal with wave propagation and localization problems in saturated viscoplastic geomaterials. It consists of a mixed formulation in terms of effective stress, velocity and pore pressure that uses a fractional step algorithm allowing the use of equal order of interpolation for the three variables and the simplest element such as the linear triangle. The viscoplastic model used is of modified cam‐clay type. Viscoplasticity results in a strong source term that deteriorates the accuracy of the two‐step Taylor–Galerkin algorithm. Therefore a Runge–Kutta splitting scheme has been used to deal with the source terms, resulting in a better accuracy of the method. Copyright © 2006 John Wiley & Sons, Ltd. This paper presents an improved algorithm to deal with wave propagation and localization problems in saturated viscoplastic geomaterials. It consists of a mixed formulation in terms of effective stress, velocity and pore pressure that uses a fractional step algorithm allowing the use of equal order of interpolation for the three variables and the simplest element such as the linear triangle. The viscoplastic model used is of modified cam-clay type. Viscoplasticity results in a strong source term that deteriorates the accuracy of the two-step Taylor-Galerkin algorithm. Therefore a Runge-Kutta splitting scheme has been used to deal with the source terms, resulting in a better accuracy of the method.
Author	Pastor, M. Herreros, M. I. Mabssout, M.
Author_xml	– sequence: 1 givenname: M. surname: Mabssout fullname: Mabssout, M. email: mabssout@fstt.ac.ma organization: Faculté des Sciences et Techniques, BP: 416, Tanger, Morocco – sequence: 2 givenname: M. I. surname: Herreros fullname: Herreros, M. I. email: isabel.herreros@cedex.es organization: Group of Mathematical Modelling in Engineering (M2i), Department of Applied Mathematics, ETS de Ingenieros de Caminos, Madrid, Spain – sequence: 3 givenname: M. surname: Pastor fullname: Pastor, M. email: mpastor@cedex.es organization: Group of Mathematical Modelling in Engineering (M2i), Department of Applied Mathematics, ETS de Ingenieros de Caminos, Madrid, Spain
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Keywords	Clay cam-clay Localized mode Fractional step method fractional step Taylor series saturated Runge Kutta method viscoplastic Modeling Cam Inelasticity Taylor-Galerkin Viscoplasticity Galerkin method Runge-Kutta Geomaterial
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References	Pastor M, Li T, Liu X, Zienkiewicz OC, Quecedo M. A fractional sep algorithm allowing equal order of interpolation for coupled analysis of saturated soil problems. Mechanics of Cohesive-Frictional Materials 2000; 5:511-534. Zienkiewicz OC, Xie YM, Schrefler BA, Ledesma A, Bicanic N. Static and dynamic behaviour of soils: a rational approach to quantitative solutions. II. Semi-saturated problems. Proceedings of the Royal Society of London, Series A 1990; 429:311-321. Safjan A, Oden JT. High-order Taylor-Galerkin and adaptive H-P methods for 2nd-order hyperbolic systems-application to elastodynamics. Computer Methods in Applied Mechanics and Engineering 1993; 103:187-230. Brezzi F. On the existence, uniqueness and approximations of saddle point problems arising from Lagrange multipliers. RAIRO 1974; 8-R2:129-151. Zienkiewicz OC, Chan AHC, Pastor M, Paul DK, Shiomi T. Static and dynamic behaviour of soils: a rational approach to quantitative solutions. I. Fully saturated problems. Proceedings of the Royal Society of London, Series A 1990; 429:285-309. Peraire J, Zienkiewicz OC, Morgan K. Shallow water problems: a general explicit formulation. International Journal for Numerical Methods in Engineering 1986; 22:547-574. Zienkiewicz OC, Chang CT, Bettess P. Drained, undrained, consolidating and dynamic behaviour assumption in soils. Géotechnique 1980; 30(4):385-395. Xikui L, Xianhong H, Pastor M. An iterative stabilized fractional step algorithm for finite element analysis in saturated soil dynamics. Computer Methods in Applied Mechanics and Engineering 2003; 192(35-36):3845-3859. Babuška I. The finite element method with Lagrange multipliers. Numerische Mathematik 1973; 20:179-192. Mabssout M, Pastor M, Herreros MI, Quecedo M. A Runge-Kutta, Taylor-Galerkin scheme for hyperbolic systems with source terms. Application to shock wave propagation in viscoplastic geomaterials. International Journal for Numerical and Analytical Methods in Geomechanics 2005, submitted. Mabssout M, Pastor M. A Taylor-Galerkin algorithm for shock wave propagation and strain localization failure of viscoplastic continua. Computer Methods in Applied Mechanics and Engineering 2003; 192:955-971. Toro E. Riemann Solvers and Numerical Methods for Fluid Dynamics. A Practical Introduction (2nd edn). Springer: Berlin, 1999. Tamma KK, Namburu RR. Explicit second-order accurate Taylor-Galerkin based finite element formulation for linear/nonlinear transient heat transfer. Numerical Heat Transfer 1988; 13:409-426. Mabssout M, Pastor M. A two step Taylor-Galerkin algorithm for shock wave propagation in soils. International Journal for Numerical and Analytical Methods in Geomechanics 2003; 27:685-704. Tamma KK, Namburu RR. A new finite-element-based Lax-Wendroff/Taylor-Galerkin methodology for computational dynamics. Computer Methods in Applied Mechanics and Engineering 1988; 71:137-150. Zhang Y, Tabarrok B. Modifications to the Lax-Wendroff scheme for hyperbolic systems with source terms. International Journal for Numerical Methods in Engineering 1999; 44:27-40. Zienkiewicz OC, Shiomi T. Dynamic behaviour of saturated porous media: the generalised Biot formulation and its numerical solution. International Journal for Numerical and Analytical Methods in Geomechanics 1984; 8:71-96. Quecedo M, Pastor M, Herreros MI, Fernández Merodo JA. Numerical modelling of the propagation of fast landslides using the finite element method. International Journal for Numerical Methods in Engineering 2004; 59:755-794. Zienkiewicz OC, Chan AHC, Pastor M, Schrefler B, Shiomi T. Computational Geomechanics. Wiley: New York, 2000. Pastor M, Li T, Liu X, Zienkiewicz OC. Stabilized low-order finite elements for failure and localization problems in undrained soils and foundations. Computer Methods in Applied Mechanics and Engineering 1999; 174:219-234. Chorin AJ. Numerical solution of incompressible flow problems. Studies in Numerical Analysis 1968; 2:64-71. Pastor M, Quecedo M, Zienkiewicz OC. A mixed displacement-pressure formulation for numerical analysis of plastic failure. Computers and Structures 1997; 62(I):13-23. Adachi T, Oka F. Constitutive equations for normally consolidated clay based on elasto-viscoplasticity. Soils and Foundations 1982; 22(4):57-70. Pastor M, Zienkiewicz OC, Li T, Xiaoqing L, Huang M. Stabilized finite elements with equal order of interpolation for soil dynamics problems. Archives of Computational Methods in Engineering 1999; 6(1):3-33. Tamma KK, Namburu RR. An explicit velocity based Lax-Wendroff/Taylor-Galerkin methodology of computation for the dynamics of structures. International Journal of Computers and Structures 1989; 30(5):1017-1024. Zienkiewicz OC, Qu S, Taylor RL, Nakazawa S. The patch test for mixed formulations. International Journal for Numerical Methods in Engineering 1986; 23:1873-1883. Quecedo M, Pastor M, Zienkiewicz OC. Application of a fractional step method to localization problems. Computers and Structures 2000; 74:535-545. 1990; 429 1997; 62 2000; 5 1966; 9 1968; 2 1999; 44 2003; 192 1988; 13 2005 1992 1993; 103 1999; 6 1988; 71 1999 1989; 30 1988; 1 1973; 20 1980; 30 2000 1986; 22 1984; 8 1986; 23 2004; 59 2000; 74 1982; 22 1974; 8‐R2 1986 2003; 27 1999; 174 1968 Quecedo (10.1002/nme.1717-BIB18) 2000; 74 Zienkiewicz (10.1002/nme.1717-BIB7) 1990; 429 Mabssout (10.1002/nme.1717-BIB3) 2003; 192 Brezzi (10.1002/nme.1717-BIB2) 1974; 8-R2 Roscoe (10.1002/nme.1717-BIB12) 1968 Tamma (10.1002/nme.1717-BIB26) 1989; 30 Safjan (10.1002/nme.1717-BIB23) 1993; 103 Mabssout (10.1002/nme.1717-BIB4) 2003; 27 Pastor (10.1002/nme.1717-BIB17) 2000; 5 Zienkiewicz (10.1002/nme.1717-BIB8) 1990; 429 Pastor (10.1002/nme.1717-BIB14) 1999; 6 Sluys (10.1002/nme.1717-BIB32) 1992 Hirsch (10.1002/nme.1717-BIB30) 1988; 1 Zienkiewicz (10.1002/nme.1717-BIB9) 2000 Pastor (10.1002/nme.1717-BIB16) 1999; 174 Peraire (10.1002/nme.1717-BIB22) 1986; 22 Zienkiewicz (10.1002/nme.1717-BIB5) 1980; 30 Quecedo (10.1002/nme.1717-BIB29) 2004; 59 Peraire (10.1002/nme.1717-BIB21) 1986 Tamma (10.1002/nme.1717-BIB24) 1988; 13 Babuška (10.1002/nme.1717-BIB1) 1973; 20 Tamma (10.1002/nme.1717-BIB25) 1988; 71 Pastor (10.1002/nme.1717-BIB19) 1997; 62 Mabssout (10.1002/nme.1717-BIB31) 2005 Adachi (10.1002/nme.1717-BIB10) 1982; 22 Zienkiewicz (10.1002/nme.1717-BIB6) 1984; 8 Xikui (10.1002/nme.1717-BIB20) 2003; 192 Chorin (10.1002/nme.1717-BIB15) 1968; 2 Perzyna (10.1002/nme.1717-BIB11) 1966; 9 Zienkiewicz (10.1002/nme.1717-BIB13) 1986; 23 Zhang (10.1002/nme.1717-BIB28) 1999; 44 Toro (10.1002/nme.1717-BIB27) 1999
References_xml	– reference: Zienkiewicz OC, Shiomi T. Dynamic behaviour of saturated porous media: the generalised Biot formulation and its numerical solution. International Journal for Numerical and Analytical Methods in Geomechanics 1984; 8:71-96. – reference: Quecedo M, Pastor M, Zienkiewicz OC. Application of a fractional step method to localization problems. Computers and Structures 2000; 74:535-545. – reference: Pastor M, Li T, Liu X, Zienkiewicz OC. Stabilized low-order finite elements for failure and localization problems in undrained soils and foundations. Computer Methods in Applied Mechanics and Engineering 1999; 174:219-234. – reference: Tamma KK, Namburu RR. Explicit second-order accurate Taylor-Galerkin based finite element formulation for linear/nonlinear transient heat transfer. Numerical Heat Transfer 1988; 13:409-426. – reference: Mabssout M, Pastor M. A two step Taylor-Galerkin algorithm for shock wave propagation in soils. International Journal for Numerical and Analytical Methods in Geomechanics 2003; 27:685-704. – reference: Zienkiewicz OC, Xie YM, Schrefler BA, Ledesma A, Bicanic N. Static and dynamic behaviour of soils: a rational approach to quantitative solutions. II. Semi-saturated problems. Proceedings of the Royal Society of London, Series A 1990; 429:311-321. – reference: Adachi T, Oka F. Constitutive equations for normally consolidated clay based on elasto-viscoplasticity. Soils and Foundations 1982; 22(4):57-70. – reference: Pastor M, Li T, Liu X, Zienkiewicz OC, Quecedo M. A fractional sep algorithm allowing equal order of interpolation for coupled analysis of saturated soil problems. Mechanics of Cohesive-Frictional Materials 2000; 5:511-534. – reference: Tamma KK, Namburu RR. An explicit velocity based Lax-Wendroff/Taylor-Galerkin methodology of computation for the dynamics of structures. International Journal of Computers and Structures 1989; 30(5):1017-1024. – reference: Zienkiewicz OC, Chan AHC, Pastor M, Paul DK, Shiomi T. Static and dynamic behaviour of soils: a rational approach to quantitative solutions. I. Fully saturated problems. Proceedings of the Royal Society of London, Series A 1990; 429:285-309. – reference: Mabssout M, Pastor M, Herreros MI, Quecedo M. A Runge-Kutta, Taylor-Galerkin scheme for hyperbolic systems with source terms. Application to shock wave propagation in viscoplastic geomaterials. International Journal for Numerical and Analytical Methods in Geomechanics 2005, submitted. – reference: Brezzi F. On the existence, uniqueness and approximations of saddle point problems arising from Lagrange multipliers. RAIRO 1974; 8-R2:129-151. – reference: Zienkiewicz OC, Chan AHC, Pastor M, Schrefler B, Shiomi T. Computational Geomechanics. Wiley: New York, 2000. – reference: Zhang Y, Tabarrok B. Modifications to the Lax-Wendroff scheme for hyperbolic systems with source terms. International Journal for Numerical Methods in Engineering 1999; 44:27-40. – reference: Quecedo M, Pastor M, Herreros MI, Fernández Merodo JA. Numerical modelling of the propagation of fast landslides using the finite element method. International Journal for Numerical Methods in Engineering 2004; 59:755-794. – reference: Chorin AJ. Numerical solution of incompressible flow problems. Studies in Numerical Analysis 1968; 2:64-71. – reference: Tamma KK, Namburu RR. A new finite-element-based Lax-Wendroff/Taylor-Galerkin methodology for computational dynamics. Computer Methods in Applied Mechanics and Engineering 1988; 71:137-150. – reference: Pastor M, Zienkiewicz OC, Li T, Xiaoqing L, Huang M. Stabilized finite elements with equal order of interpolation for soil dynamics problems. Archives of Computational Methods in Engineering 1999; 6(1):3-33. – reference: Pastor M, Quecedo M, Zienkiewicz OC. A mixed displacement-pressure formulation for numerical analysis of plastic failure. Computers and Structures 1997; 62(I):13-23. – reference: Peraire J, Zienkiewicz OC, Morgan K. Shallow water problems: a general explicit formulation. International Journal for Numerical Methods in Engineering 1986; 22:547-574. – reference: Zienkiewicz OC, Qu S, Taylor RL, Nakazawa S. The patch test for mixed formulations. International Journal for Numerical Methods in Engineering 1986; 23:1873-1883. – reference: Xikui L, Xianhong H, Pastor M. An iterative stabilized fractional step algorithm for finite element analysis in saturated soil dynamics. Computer Methods in Applied Mechanics and Engineering 2003; 192(35-36):3845-3859. – reference: Zienkiewicz OC, Chang CT, Bettess P. Drained, undrained, consolidating and dynamic behaviour assumption in soils. Géotechnique 1980; 30(4):385-395. – reference: Mabssout M, Pastor M. A Taylor-Galerkin algorithm for shock wave propagation and strain localization failure of viscoplastic continua. Computer Methods in Applied Mechanics and Engineering 2003; 192:955-971. – reference: Safjan A, Oden JT. High-order Taylor-Galerkin and adaptive H-P methods for 2nd-order hyperbolic systems-application to elastodynamics. Computer Methods in Applied Mechanics and Engineering 1993; 103:187-230. – reference: Babuška I. The finite element method with Lagrange multipliers. Numerische Mathematik 1973; 20:179-192. – reference: Toro E. Riemann Solvers and Numerical Methods for Fluid Dynamics. A Practical Introduction (2nd edn). Springer: Berlin, 1999. – volume: 59 start-page: 755 year: 2004 end-page: 794 article-title: Numerical modelling of the propagation of fast landslides using the finite element method publication-title: International Journal for Numerical Methods in Engineering – volume: 71 start-page: 137 year: 1988 end-page: 150 article-title: A new finite‐element‐based Lax–Wendroff/Taylor–Galerkin methodology for computational dynamics publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 2 start-page: 64 year: 1968 end-page: 71 article-title: Numerical solution of incompressible flow problems publication-title: Studies in Numerical Analysis – volume: 9 start-page: 243 year: 1966 end-page: 377 – volume: 23 start-page: 1873 year: 1986 end-page: 1883 article-title: The patch test for mixed formulations publication-title: International Journal for Numerical Methods in Engineering – year: 2000 – volume: 8‐R2 start-page: 129 year: 1974 end-page: 151 article-title: On the existence, uniqueness and approximations of saddle point problems arising from Lagrange multipliers publication-title: RAIRO – volume: 62 start-page: 13 issue: I year: 1997 end-page: 23 article-title: A mixed displacement‐pressure formulation for numerical analysis of plastic failure publication-title: Computers and Structures – volume: 20 start-page: 179 year: 1973 end-page: 192 article-title: The finite element method with Lagrange multipliers publication-title: Numerische Mathematik – volume: 429 start-page: 311 year: 1990 end-page: 321 article-title: Static and dynamic behaviour of soils: a rational approach to quantitative solutions. II. Semi‐saturated problems publication-title: Proceedings of the Royal Society of London, Series A – year: 1992 – volume: 22 start-page: 547 year: 1986 end-page: 574 article-title: Shallow water problems: a general explicit formulation publication-title: International Journal for Numerical Methods in Engineering – volume: 27 start-page: 685 year: 2003 end-page: 704 article-title: A two step Taylor–Galerkin algorithm for shock wave propagation in soils publication-title: International Journal for Numerical and Analytical Methods in Geomechanics – volume: 103 start-page: 187 year: 1993 end-page: 230 article-title: High‐order Taylor–Galerkin and adaptive H‐P methods for 2nd‐order hyperbolic systems—application to elastodynamics publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 22 start-page: 57 issue: 4 year: 1982 end-page: 70 article-title: Constitutive equations for normally consolidated clay based on elasto‐viscoplasticity publication-title: Soils and Foundations – volume: 44 start-page: 27 year: 1999 end-page: 40 article-title: Modifications to the Lax–Wendroff scheme for hyperbolic systems with source terms publication-title: International Journal for Numerical Methods in Engineering – year: 1986 – volume: 30 start-page: 1017 issue: 5 year: 1989 end-page: 1024 article-title: An explicit velocity based Lax–Wendroff/Taylor–Galerkin methodology of computation for the dynamics of structures publication-title: International Journal of Computers and Structures – volume: 8 start-page: 71 year: 1984 end-page: 96 article-title: Dynamic behaviour of saturated porous media: the generalised Biot formulation and its numerical solution publication-title: International Journal for Numerical and Analytical Methods in Geomechanics – volume: 192 start-page: 3845 issue: 35–36 year: 2003 end-page: 3859 article-title: An iterative stabilized fractional step algorithm for finite element analysis in saturated soil dynamics publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 429 start-page: 285 year: 1990 end-page: 309 article-title: Static and dynamic behaviour of soils: a rational approach to quantitative solutions. I. Fully saturated problems publication-title: Proceedings of the Royal Society of London, Series A – volume: 13 start-page: 409 year: 1988 end-page: 426 article-title: Explicit second‐order accurate Taylor–Galerkin based finite element formulation for linear/nonlinear transient heat transfer publication-title: Numerical Heat Transfer – volume: 30 start-page: 385 issue: 4 year: 1980 end-page: 395 article-title: Drained, undrained, consolidating and dynamic behaviour assumption in soils publication-title: Géotechnique – volume: 1 year: 1988 – volume: 5 start-page: 511 year: 2000 end-page: 534 article-title: A fractional sep algorithm allowing equal order of interpolation for coupled analysis of saturated soil problems publication-title: Mechanics of Cohesive‐Frictional Materials – volume: 192 start-page: 955 year: 2003 end-page: 971 article-title: A Taylor–Galerkin algorithm for shock wave propagation and strain localization failure of viscoplastic continua publication-title: Computer Methods in Applied Mechanics and Engineering – volume: 174 start-page: 219 year: 1999 end-page: 234 article-title: Stabilized low‐order finite elements for failure and localization problems in undrained soils and foundations publication-title: Computer Methods in Applied Mechanics and Engineering – start-page: 535 year: 1968 end-page: 609 – volume: 74 start-page: 535 year: 2000 end-page: 545 article-title: Application of a fractional step method to localization problems publication-title: Computers and Structures – volume: 6 start-page: 3 issue: 1 year: 1999 end-page: 33 article-title: Stabilized finite elements with equal order of interpolation for soil dynamics problems publication-title: Archives of Computational Methods in Engineering – year: 1999 – year: 2005 article-title: A Runge–Kutta, Taylor–Galerkin scheme for hyperbolic systems with source terms. Application to shock wave propagation in viscoplastic geomaterials publication-title: International Journal for Numerical and Analytical Methods in Geomechanics – volume: 22 start-page: 57 year: 1982 ident: 10.1002/nme.1717-BIB10 publication-title: Soils and Foundations doi: 10.3208/sandf1972.22.4_57 – start-page: 535 volume-title: Engineering Plasticity year: 1968 ident: 10.1002/nme.1717-BIB12 – volume: 8 start-page: 71 year: 1984 ident: 10.1002/nme.1717-BIB6 publication-title: International Journal for Numerical and Analytical Methods in Geomechanics doi: 10.1002/nag.1610080106 – volume: 429 start-page: 311 year: 1990 ident: 10.1002/nme.1717-BIB8 publication-title: Proceedings of the Royal Society of London, Series A doi: 10.1098/rspa.1990.0062 – volume: 74 start-page: 535 year: 2000 ident: 10.1002/nme.1717-BIB18 publication-title: Computers and Structures doi: 10.1016/S0045-7949(99)00065-6 – volume: 44 start-page: 27 year: 1999 ident: 10.1002/nme.1717-BIB28 publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/(SICI)1097-0207(19990110)44:1<27::AID-NME485>3.0.CO;2-0 – volume: 20 start-page: 179 year: 1973 ident: 10.1002/nme.1717-BIB1 publication-title: Numerische Mathematik doi: 10.1007/BF01436561 – volume: 62 start-page: 13 year: 1997 ident: 10.1002/nme.1717-BIB19 publication-title: Computers and Structures doi: 10.1016/S0045-7949(96)00208-8 – volume: 30 start-page: 1017 year: 1989 ident: 10.1002/nme.1717-BIB26 publication-title: International Journal of Computers and Structures doi: 10.1016/0045-7949(88)90146-0 – volume: 9 start-page: 243 volume-title: Recent Advances in Applied Mechanics year: 1966 ident: 10.1002/nme.1717-BIB11 – volume: 192 start-page: 3845 year: 2003 ident: 10.1002/nme.1717-BIB20 publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/S0045-7825(03)00378-5 – volume: 27 start-page: 685 year: 2003 ident: 10.1002/nme.1717-BIB4 publication-title: International Journal for Numerical and Analytical Methods in Geomechanics doi: 10.1002/nag.292 – volume: 30 start-page: 385 year: 1980 ident: 10.1002/nme.1717-BIB5 publication-title: Géotechnique doi: 10.1680/geot.1980.30.4.385 – volume: 174 start-page: 219 year: 1999 ident: 10.1002/nme.1717-BIB16 publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/S0045-7825(98)00316-8 – volume: 6 start-page: 3 year: 1999 ident: 10.1002/nme.1717-BIB14 publication-title: Archives of Computational Methods in Engineering doi: 10.1007/BF02828328 – volume: 2 start-page: 64 year: 1968 ident: 10.1002/nme.1717-BIB15 publication-title: Studies in Numerical Analysis – volume-title: Computational Geomechanics year: 2000 ident: 10.1002/nme.1717-BIB9 – volume: 59 start-page: 755 year: 2004 ident: 10.1002/nme.1717-BIB29 publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.841 – year: 1992 ident: 10.1002/nme.1717-BIB32 – volume: 103 start-page: 187 year: 1993 ident: 10.1002/nme.1717-BIB23 publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/0045-7825(93)90046-Z – volume: 429 start-page: 285 year: 1990 ident: 10.1002/nme.1717-BIB7 publication-title: Proceedings of the Royal Society of London, Series A doi: 10.1098/rspa.1990.0061 – year: 1986 ident: 10.1002/nme.1717-BIB21 – volume: 192 start-page: 955 year: 2003 ident: 10.1002/nme.1717-BIB3 publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/S0045-7825(02)00619-9 – volume: 22 start-page: 547 year: 1986 ident: 10.1002/nme.1717-BIB22 publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1620220305 – volume: 1 volume-title: Fundamentals of Numerical Discretization year: 1988 ident: 10.1002/nme.1717-BIB30 – volume: 71 start-page: 137 year: 1988 ident: 10.1002/nme.1717-BIB25 publication-title: Computer Methods in Applied Mechanics and Engineering doi: 10.1016/0045-7825(88)90082-5 – volume: 13 start-page: 409 year: 1988 ident: 10.1002/nme.1717-BIB24 publication-title: Numerical Heat Transfer doi: 10.1080/10407788808913623 – volume-title: Riemann Solvers and Numerical Methods for Fluid Dynamics. A Practical Introduction year: 1999 ident: 10.1002/nme.1717-BIB27 doi: 10.1007/978-3-662-03915-1 – year: 2005 ident: 10.1002/nme.1717-BIB31 publication-title: International Journal for Numerical and Analytical Methods in Geomechanics – volume: 8-R2 start-page: 129 year: 1974 ident: 10.1002/nme.1717-BIB2 publication-title: RAIRO – volume: 23 start-page: 1873 year: 1986 ident: 10.1002/nme.1717-BIB13 publication-title: International Journal for Numerical Methods in Engineering doi: 10.1002/nme.1620231007 – volume: 5 start-page: 511 year: 2000 ident: 10.1002/nme.1717-BIB17 publication-title: Mechanics of Cohesive-Frictional Materials doi: 10.1002/1099-1484(200010)5:7<511::AID-CFM87>3.0.CO;2-S
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SubjectTerms	Algorithms cam-clay Computational techniques Exact sciences and technology fractional step Fundamental areas of phenomenology (including applications) Geomaterials Inelasticity (thermoplasticity, viscoplasticity...) Localization Mathematical analysis Mathematical methods in physics Mathematical models Physics Position (location) Runge-Kutta Runge-Kutta method saturated Solid mechanics Structural and continuum mechanics Taylor-Galerkin viscoplastic Wave propagation
Title	Wave propagation and localization problems in saturated viscoplastic geomaterials
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