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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Veröffentlicht in:International journal for numerical methods in engineering Jg. 68; H. 4; S. 425 - 447
Hauptverfasser: Mabssout, M., Herreros, M. I., Pastor, M.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 22.10.2006
Wiley
Schlagworte:
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
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung: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.
Bibliographie: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
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.1717