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Wave propagation and localization problems in saturated viscoplastic geomaterials
Author(s) -
Mabssout M.,
Herreros M. I.,
Pastor M.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1717
Subject(s) - viscoplasticity , interpolation (computer graphics) , mathematics , taylor series , pore water pressure , linear interpolation , galerkin method , mathematical analysis , finite element method , geotechnical engineering , classical mechanics , geology , physics , structural engineering , engineering , constitutive equation , polynomial , motion (physics)
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.