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A fully coupled non‐linear dynamic analysis procedure and its verification using centrifuge test results
Author(s) -
Muraleetharan K. K.,
Mish K. D.,
Arulanandan K.
Publication year - 1994
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610180503
Subject(s) - centrifuge , discretization , finite element method , nonlinear system , quadratic equation , newmark beta method , plasticity , mathematics , numerical integration , constitutive equation , computer science , structural engineering , mathematical analysis , engineering , geometry , physics , nuclear physics , thermodynamics , quantum mechanics
The equations governing the dynamic behavior of saturated porous media as well as a finite element spatial discretization of these equations are summarized. A three‐parameter time integration scheme called the Hilber–Hughes–Taylor α‐method is used together with a predictor/multi‐corrector algorithm, instead of the widely used Newmark's method, to integrate the spatially discrete finite element equations. The new time integration scheme possess quadratic accuracy and desirable numerical damping characteristics. The proposed numerical solution and bounding surface plasticity theory to describe the constitutive behaviour of soil have been implemented as the computer code DYSAC2. Predictions made by DYSAC2 code are verified using dynamic centrifuge test results for a clay embankment. Importance of initial state of a soil on its dynamic behaviour is demonstrated.