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...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	International journal for numerical methods in engineering Ročník 68; číslo 4; s. 425 - 447
Hlavní autoři:	Mabssout, M., Herreros, M. I., Pastor, M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Chichester, UK John Wiley & Sons, Ltd 22.10.2006 Wiley
Témata:	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
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

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
BackLink	http://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18171624$$DView record in Pascal Francis
BookMark	eNp9kU9rFEEQxRuJ4CYKfoS5KF5m039mUt1HiTEKMSZEWfDS1PRWh9aembV7Nho_vb3ZsCJBTwVVv3o83ttne8M4EGPPBZ8LzuXh0NNcgIBHbCa4gZpLDntsVk6mbo0WT9h-zl85F6LlasYuF3hD1SqNK7zGKYxDhcOyiqPDGH5tF-XYRepzFYYq47ROONGyugnZjauIeQquuqaxL9sUMOan7LEvg57dzwP2-e3Jp-N39dnH0_fHr89qpwxAraEzDTUCuo6D0B1oD460kh5aB0vsNEcvnJZu2XJHnfYKfNOB8kBgsFUH7OVWt_j7vqY82b5YohhxoHGdrTSaGwlQwFf_BQXXUhjVNk1BX9yjmEsCPuHgQrarFHpMt1bokuyR3HDzLefSmHMib12Y7tKaEoZYJO2mDFvKsJsy_njYPew0H6L1Fv0RIt3-k7PnH07-5kOe6OeOx_TNHoGC1i7OT-2FXny5vHoj7ZX6DaaMqso
CODEN	IJNMBH
CitedBy_id	crossref_primary_10_1016_j_compgeo_2020_103738 crossref_primary_10_1063_5_0142665 crossref_primary_10_1002_nme_4324 crossref_primary_10_1016_j_powtec_2017_09_052 crossref_primary_10_1016_j_cma_2010_04_006 crossref_primary_10_1016_j_compgeo_2020_103629 crossref_primary_10_1002_nag_1082 crossref_primary_10_1016_j_ijsolstr_2009_11_004 crossref_primary_10_1016_j_cnsns_2025_108775 crossref_primary_10_1016_j_cma_2006_10_004 crossref_primary_10_1016_j_cma_2012_02_006 crossref_primary_10_1080_19648189_2011_9695303 crossref_primary_10_1016_j_cma_2011_07_011
Cites_doi	10.3208/sandf1972.22.4_57 10.1002/nag.1610080106 10.1098/rspa.1990.0062 10.1016/S0045-7949(99)00065-6 10.1002/(SICI)1097-0207(19990110)44:1<27::AID-NME485>3.0.CO;2-0 10.1007/BF01436561 10.1016/S0045-7949(96)00208-8 10.1016/0045-7949(88)90146-0 10.1016/S0045-7825(03)00378-5 10.1002/nag.292 10.1680/geot.1980.30.4.385 10.1016/S0045-7825(98)00316-8 10.1007/BF02828328 10.1002/nme.841 10.1016/0045-7825(93)90046-Z 10.1098/rspa.1990.0061 10.1016/S0045-7825(02)00619-9 10.1002/nme.1620220305 10.1016/0045-7825(88)90082-5 10.1080/10407788808913623 10.1007/978-3-662-03915-1 10.1002/nme.1620231007 10.1002/1099-1484(200010)5:7<511::AID-CFM87>3.0.CO;2-S
ContentType	Journal Article
Copyright	Copyright © 2006 John Wiley & Sons, Ltd. 2006 INIST-CNRS
Copyright_xml	– notice: Copyright © 2006 John Wiley & Sons, Ltd. – notice: 2006 INIST-CNRS
DBID	BSCLL AAYXX CITATION IQODW 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D
DOI	10.1002/nme.1717
DatabaseName	Istex CrossRef Pascal-Francis Computer and Information Systems Abstracts Mechanical & Transportation Engineering Abstracts Technology Research Database Engineering Research Database ProQuest Computer Science Collection Civil Engineering Abstracts Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional
DatabaseTitle	CrossRef Civil Engineering Abstracts Technology Research Database Computer and Information Systems Abstracts – Academic Mechanical & Transportation Engineering Abstracts ProQuest Computer Science Collection Computer and Information Systems Abstracts Engineering Research Database Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Professional
DatabaseTitleList	Civil Engineering Abstracts Civil Engineering Abstracts
DeliveryMethod	fulltext_linktorsrc
Discipline	Applied Sciences Engineering Mathematics Physics
EISSN	1097-0207
EndPage	447
ExternalDocumentID	18171624 10_1002_nme_1717 NME1717 ark_67375_WNG_P8WZQSD2_S
Genre	article
GrantInformation_xml	– fundername: Ministerio de Fomento (DESCARTES project)
GroupedDBID	-~X .3N .DC .GA .Y3 05W 0R~ 10A 1L6 1OB 1OC 1ZS 31~ 33P 3SF 3WU 4.4 4ZD 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 5GY 5VS 66C 702 7PT 8-0 8-1 8-3 8-4 8-5 8UM 930 A03 AAESR AAEVG AAHQN AAMMB AAMNL AANHP AANLZ AAONW AASGY AAXRX AAYCA AAZKR ABCQN ABCUV ABIJN ABJNI ACAHQ ACBWZ ACCZN ACGFS ACIWK ACPOU ACRPL ACXBN ACXQS ACYXJ ADBBV ADEOM ADIZJ ADKYN ADMGS ADNMO ADOZA ADXAS ADZMN AEFGJ AEIGN AEIMD AENEX AEUYR AEYWJ AFBPY AFFPM AFGKR AFWVQ AFZJQ AGQPQ AGXDD AGYGG AHBTC AIDQK AIDYY AITYG AIURR AJXKR ALAGY ALMA_UNASSIGNED_HOLDINGS ALVPJ AMBMR AMYDB ASPBG ATUGU AUFTA AVWKF AZBYB AZFZN AZVAB BAFTC BDRZF BFHJK BHBCM BMNLL BMXJE BNHUX BROTX BRXPI BSCLL BY8 CS3 D-E D-F DCZOG DPXWK DR2 DRFUL DRSTM DU5 EBS EJD F00 F01 F04 F5P FEDTE G-S G.N GNP GODZA H.T H.X HBH HGLYW HHY HVGLF HZ~ IX1 J0M JPC KQQ LATKE LAW LC2 LC3 LEEKS LH4 LITHE LOXES LP6 LP7 LUTES LW6 LYRES MEWTI MK4 MRFUL MRSTM MSFUL MSSTM MXFUL MXSTM N04 N05 NF~ O66 O9- OIG P2P P2W P2X P4D Q.N Q11 QB0 QRW R.K RNS ROL RX1 RYL SUPJJ TN5 UB1 V2E W8V W99 WBKPD WIB WIH WIK WLBEL WOHZO WQJ WXSBR WYISQ XG1 XPP XV2 ZZTAW ~02 ~IA ~WT ALUQN AAYXX CITATION O8X .4S 6TJ ABDPE ABEML ACKIV ACSCC AGHNM AI. ARCSS GBZZK HF~ IQODW M6O PALCI RIWAO SAMSI TUS VH1 VOH ZY4 ~A~ 7SC 7TB 8FD FR3 JQ2 KR7 L7M L~C L~D
ID	FETCH-LOGICAL-c3977-87b94e417bb0718b78f7ce832f75c7dab80af1c82cd50ceb8f37f4b73f7e79a53
IEDL.DBID	DRFUL
ISICitedReferencesCount	15
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000241534600002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	0029-5981
IngestDate	Fri Jul 11 11:14:50 EDT 2025 Thu Jul 10 23:39:41 EDT 2025 Mon Jul 21 09:16:37 EDT 2025 Sat Nov 29 06:43:36 EST 2025 Tue Nov 18 22:37:41 EST 2025 Sun Sep 21 06:14:25 EDT 2025 Tue Nov 11 03:33:35 EST 2025
IsPeerReviewed	true
IsScholarly	true
Issue	4
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
Language	English
License	http://doi.wiley.com/10.1002/tdm_license_1.1 CC BY 4.0
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c3977-87b94e417bb0718b78f7ce832f75c7dab80af1c82cd50ceb8f37f4b73f7e79a53
Notes	Ministerio de Fomento (DESCARTES project) ArticleID:NME1717 istex:2295530FF69E3774505E1907859B898AEFEB432A ark:/67375/WNG-P8WZQSD2-S ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
PQID	1082193544
PQPubID	23500
PageCount	23
ParticipantIDs	proquest_miscellaneous_29809277 proquest_miscellaneous_1082193544 pascalfrancis_primary_18171624 crossref_citationtrail_10_1002_nme_1717 crossref_primary_10_1002_nme_1717 wiley_primary_10_1002_nme_1717_NME1717 istex_primary_ark_67375_WNG_P8WZQSD2_S
PublicationCentury	2000
PublicationDate	22 October 2006
PublicationDateYYYYMMDD	2006-10-22
PublicationDate_xml	– month: 10 year: 2006 text: 22 October 2006 day: 22
PublicationDecade	2000
PublicationPlace	Chichester, UK
PublicationPlace_xml	– name: Chichester, UK – name: Chichester
PublicationTitle	International journal for numerical methods in engineering
PublicationTitleAlternate	Int. J. Numer. Meth. Engng
PublicationYear	2006
Publisher	John Wiley & Sons, Ltd Wiley
Publisher_xml	– name: John Wiley & Sons, Ltd – name: Wiley
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
SSID	ssj0011503
Score	1.894322
Snippet	This paper presents an improved algorithm to deal with wave propagation and localization problems in saturated viscoplastic geomaterials. It consists of a...
SourceID	proquest pascalfrancis crossref wiley istex
SourceType	Aggregation Database Index Database Enrichment Source Publisher
StartPage	425
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
URI	https://api.istex.fr/ark:/67375/WNG-P8WZQSD2-S/fulltext.pdf https://onlinelibrary.wiley.com/doi/abs/10.1002%2Fnme.1717 https://www.proquest.com/docview/1082193544 https://www.proquest.com/docview/29809277
Volume	68
WOSCitedRecordID	wos000241534600002&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVWIB databaseName: Wiley Online Library Full Collection 2020 customDbUrl: eissn: 1097-0207 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0011503 issn: 0029-5981 databaseCode: DRFUL dateStart: 19960101 isFulltext: true titleUrlDefault: https://onlinelibrary.wiley.com providerName: Wiley-Blackwell
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3Nb9MwFH-ClgMcGAwmyscwEoJTWOo4tX1EbIUDqzbG1IlLZDs2qoAUNVvFn897iRNaiUlInKJIL471_D5-_vo9gJeGa6edscnEKJ8Q_0ii1UQnTgThbSqCL1VTbELOZuriQp_EU5V0F6blh-gX3MgzmnhNDm5sfbBBGvrDvxnjZOQmDDmarRjA8PDT9Pxjv4eAUCfrDnjkWo076tmUH3TfbiWjIen1Fx2ONDXqJ7SFLbaQ5yZ-bRLQdOd_un4P7kbYyd62dnIfbvhqF3YiBGXRwetduLPBT4hvxz2pa_0ATudm7Rl2E2NQM57MVCVrkmG8zMlieZqaLSpWE2UoItmSrRd09wVhOrbDvvolNtja_UM4nx59fvchiRUZEkdAEUOn1cKLsbQWoYmyUgXpPAaFIHMnS2NVasLYKe7KPHXeqpDJIKzMgvRSmzzbg0G1rPwjYNbbMrXeaCsxWE-CCjj5o3CCU7qJNOkIXndDU7hIV05VM74XLdEyL1CLBWlxBC96yZ8tRcdfZF41o9sLmNU3OtIm82I-e1-cqPmX07NDXpyNYH9r-P-0qIhYiAv8W2cPBXoiba-Yyi-vaqJaxfCf5QJlnl8jw7VKNZfUn8ZAru1wMTs-oufjfxV8Areb1SFMq5w_hcHl6so_g1tufbmoV_vRN34DQ_wUoQ
linkProvider	Wiley-Blackwell
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1bb9MwFD4aLRLwwGCAKJfNSAiewlLHqW3xhNjKEG20sU2deLFsx0YVkKJmq_j5HOdGKzEJiaco0oljHZ_L59t3AF5qKq202kQjLVwU-EciKUYysswzZ2LmXS6qYhM8y8TFhTzegrftXZiaH6JbcAueUcXr4OBhQXp_jTX0h3szxNnIDegztKK0B_2Dz-PzSbeJgFgnaU94pFIMW-7ZmO63325ko35Q7K9wOlKXqCBfV7bYgJ7rALbKQOPt_-r7PbjbAE_yrraU-7Dlih3YbkAoaVy83IE7awyF-DbtaF3LB3Ay0ytHsJ8YhaoRJbrISZUOm-ucpClQU5J5QcpAGopYNierebj9gkAd2yFf3QIbrC3_IZyPD8_eH0VNTYbIBqiIwdNI5tiQG4PgRBguPLcOw4LnqeW5NiLWfmgFtXkaW2eET7hnhieeOy51mjyCXrEo3GMgxpk8Nk5LwzFcj7zwOP0LAQUndSOu4wG8bsdG2YawPNTN-K5qqmWqUIsqaHEALzrJnzVJx19kXlXD2wno5bdwqI2napZ9UMdi9uXk9ICq0wHsboz_nxZFoBaiDP_WGoRCXwwbLLpwi6sykK1iAkhShjJ718hQKWJJeehPZSHXdlhl08PwfPKvgntw6-hsOlGTj9mnp3C7WivCJEvpM-hdLq_cc7hpV5fzcrnbOMpvwDwYkQ
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1baxQxFD7Urog-tFoVV2sbQfRp7GzmkoQ-FberYjtsrWVLX0KSScpSnS077eLP92Ru7oIFwadh4EzmkJzLl9t3AN4qKowwSgep4jbw_COB4KkITOxiq8PY2ZxXxSZYlvHzczFeg_32LkzND9EtuHnPqOK1d3B7nbu9JdbQn_bDAGcj96AXJyJFr-wNv43OjrpNBMQ6UXvCIxF80HLPhnSv_XYlG_V8x_7ypyNViR3k6soWK9BzGcBWGWi0-V-6P4aNBniSg9pSnsCaLbZgswGhpHHxcgseLTEU4ttxR-taPoWTiVpYgnpiFKpGlKgiJ1U6bK5zkqZATUmmBSk9aShi2Zwspv72CwJ1bIdc2hk2WFv-MzgbHX7_-DloajIExkNFDJ5axDYeMK0RnHDNuGPGYlhwLDEsV5qHyg0MpyZPQmM1dxFzsWaRY5YJlUTPYb2YFfYFEG11HmqrhGYYrlPHHU7_fEDBSV3KVNiH9-3YSNMQlvu6GT9kTbVMJfai9L3Yhzed5HVN0vEXmXfV8HYCan7lD7WxRE6yT3LMJxcnp0MqT_uwszL-f1rknlqIxvi31iAk-qLfYFGFnd2WnmwVE0CUxCize4cMFTwUlHl9Kgu5U2GZHR_658t_FdyFB-PhSB59yb6-gofVUhHmWEq3Yf1mfmtfw32zuJmW853GT34DKdMYDA
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Wave+propagation+and+localization+problems+in+saturated+viscoplastic+geomaterials&rft.jtitle=International+journal+for+numerical+methods+in+engineering&rft.au=Mabssout%2C+M&rft.au=Herreros%2C+M+I&rft.au=Pastor%2C+M&rft.date=2006-10-22&rft.issn=0029-5981&rft.volume=68&rft.issue=4&rft.spage=425&rft.epage=447&rft_id=info:doi/10.1002%2Fnme.1717&rft.externalDBID=NO_FULL_TEXT
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0029-5981&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0029-5981&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0029-5981&client=summon