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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Vydané v:	International journal for numerical methods in engineering Ročník 68; číslo 4; s. 425 - 447
Hlavní autori:	Mabssout, M., Herreros, M. I., Pastor, M.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Chichester, UK John Wiley & Sons, Ltd 22.10.2006 Wiley
Predmet:	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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Popis
Shrnutí:	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.
Bibliografia:	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