Numerical Methods For Implementing The Bounding Surface Plasticity Model For Clays
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Numerical Methods for Implementing the Bounding Surface Plasticity Model for Clays
Previous work on the development and numerical implementation of the bound surface plasticity model for clays is discussed. Modifications were made to the hardening relationship to improve the numerical performance in the tensile range. A rate equation for the loading surface was developed. Modifications were made to the invariant description of the bounding surface to avoid numerical difficulties in evaluating the derivatives. The closest point projection method is described for simple and general internal variable plasticity models. The method was developed within the classical plasticity framework and uses the Newton-Raphson method to satisfy the implicit integration of the rate equations and the consistency condition. An explicit treatment of the internal variables is discussed. Application of this method for the bounding surface plasticity model for clays was developed by adding an internal variable and using the rate equation for the loading surface. A new algorithm 'the reduced Newton method' was developed for the bounding surface plasticity model for clays. It involved mapping the stress rate equations, internal variable rate equations and the consistency condition into two nonlinear equations and integrating them with a backwards Euler formula using Newton-Raphson iteration. Comparisons of predictions for a number of sample problems was made using the trapezoidal integration, closest point and reduced Newton methods. 'Exact' solutions for stress points that start on the bounding surface were developed by assigning an arbitrary stress path and calculating the corresponding strains using numerical integration with a tight tolerance. The 'exact' solutions were used to evaluate the effectiveness of the proposed general numerical implementation of the bounding surface method. A standard effective stress interface is proposed for finite element programs that u.
Numerical Methods in Geotechnical Engineering IX
Numerical Methods in Geotechnical Engineering IX contains 204 technical and scientific papers presented at the 9th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE2018, Porto, Portugal, 25—27 June 2018). The papers cover a wide range of topics in the field of computational geotechnics, providing an overview of recent developments on scientific achievements, innovations and engineering applications related to or employing numerical methods. They deal with subjects from emerging research to engineering practice, and are grouped under the following themes: Constitutive modelling and numerical implementation Finite element, discrete element and other numerical methods. Coupling of diverse methods Reliability and probability analysis Large deformation – large strain analysis Artificial intelligence and neural networks Ground flow, thermal and coupled analysis Earthquake engineering, soil dynamics and soil-structure interactions Rock mechanics Application of numerical methods in the context of the Eurocodes Shallow and deep foundations Slopes and cuts Supported excavations and retaining walls Embankments and dams Tunnels and caverns (and pipelines) Ground improvement and reinforcement Offshore geotechnical engineering Propagation of vibrations Following the objectives of previous eight thematic conferences, (1986 Stuttgart, Germany; 1990 Santander, Spain; 1994 Manchester, United Kingdom; 1998 Udine, Italy; 2002 Paris, France; 2006 Graz, Austria; 2010 Trondheim, Norway; 2014 Delft, The Netherlands), Numerical Methods in Geotechnical Engineering IX updates the state-of-the-art regarding the application of numerical methods in geotechnics, both in a scientific perspective and in what concerns its application for solving practical boundary value problems. The book will be much of interest to engineers, academics and professionals involved or interested in Geotechnical Engineering.
Numerical Methods in Geomechanics Volume 1
First Published in 2017. Routledge is an imprint of Taylor & Francis, an Informa company.