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COMPUTATIONAL GEOMECHANICS
The new edition of the first book to cover the computational dynamic aspects of geomechanics, now including more practical applications and up-to-date coverage of current research in the field
Advances in computational geomechanics have dramatically improved understanding of the behavior of soils and the ability of engineers to design increasingly sophisticated constructions in the ground. When Professor Olek Zienkiewicz began the application of numerical approaches to solid dynamics at Swansea University, it became evident that realistic prediction of the behavior of soil masses could only be achieved if the total stress approaches were abandoned. Computational Geomechanics introduces the theory and application of Zienkiewicz's computational approaches that remain the basis for work in the area of saturated and unsaturated soil to this day.
Written by past students and colleagues of Professor Zienkiewicz, this extended Second Edition provides formulations for a broader range of problems, including failure load under static loading, saturated and unsaturated consolidation, hydraulic fracturing, and liquefaction of soil under earthquake loading. The internationally-recognized team of authors incorporates current computer technologies and new developments in the field, particularly in the area of partial saturation, as they guide readers on how to properly apply the formulation in their work. This one-of-a-kind volume:
Explains the Biot-Zienkiewicz formulation for saturated and unsaturated soil
Covers multiple applications to static and dynamic problems for saturated and unsaturated soil in areas such as earthquake engineering and fracturing of soils and rocks
Features a completely new chapter on fast catastrophic landslides using depth integrated equations and smoothed particle hydrodynamics with applications
Presents the theory of porous media in the saturated and unsaturated states to establish the foundation of the problem of soil mechanics
Provides a quantitative description of soil behavior including simple plasticity models, generalized plasticity, and critical state soil mechanics
Includes numerous questions, problems, hands-on experiments, applications to other situations, and example code for GeHoMadrid
Computational Geomechanics: Theory and Applications, Second Edition is an ideal textbook for specialist and general geotechnical postgraduate courses, and a must-have reference for researchers in geomechanics and geotechnical engineering, for software developers and users of geotechnical finite element software, and for geotechnical analysts and engineers making use of the numerical results obtained from the Biot-Zienkiewicz formulation.
Auteur
Andrew H. C. Chan, Professor and Head of School Engineering, University of Tasmania, Australia.
Manuel Pastor, Professor at the Department of Applied Mathematics and Computer Science, ETS de Ingenieros de Caminos, Universidad Politécnica Madrid (UPM), Spain, formerly at Centro de Estudios y Experimentación de Obras Públicas (CEDEX). Bernhard A. Schrefler, Professor Emeritus, University of Padua, Italy. Tadahiko Shiomi, Engineering Director, 3D-Lab, MIND Inc., Tokyo, Japan. O. C. Zienkiewicz (deceased), former Professor Emeritus and Head of the Department of Civil Engineering, Swansea University, UK.
Résumé
COMPUTATIONAL GEOMECHANICS The new edition of the first book to cover the computational dynamic aspects of geomechanics, now including more practical applications and up-to-date coverage of current research in the field Advances in computational geomechanics have dramatically improved understanding of the behavior of soils and the ability of engineers to design increasingly sophisticated constructions in the ground. When Professor Olek Zienkiewicz began the application of numerical approaches to solid dynamics at Swansea University, it became evident that realistic prediction of the behavior of soil masses could only be achieved if the total stress approaches were abandoned. Computational Geomechanics introduces the theory and application of Zienkiewicz's computational approaches that remain the basis for work in the area of saturated and unsaturated soil to this day. Written by past students and colleagues of Professor Zienkiewicz, this extended Second Edition provides formulations for a broader range of problems, including failure load under static loading, saturated and unsaturated consolidation, hydraulic fracturing, and liquefaction of soil under earthquake loading. The internationally-recognized team of authors incorporates current computer technologies and new developments in the field, particularly in the area of partial saturation, as they guide readers on how to properly apply the formulation in their work. This one-of-a-kind volume:
Contenu
Preface
1 Introduction and the Concept of Effective Stress
1.1 PRELIMINARY REMARKS
1.2 THE NATURE OF SOILS AND OTHER POROUS MEDIA: WHY A FULL DEFORMATION ANALYSIS IS THE ONLY VIABLE APPROACH FOR PREDICTION
1.3 CONCEPTS OF EFFECTIVE STRESS IN SATURATED OR PARTIALLY SATURATED MEDIA
REFERENCES 16
2 Equations Governing the Dynamic, SoilPore Fluid, Interaction
2.1 GENERAL REMARKS ON THE PRESENTATION
2.2 FULLY SATURATED BEHAVIOUR WITH A SINGLE PORE FLUID (WATER)
2.3 PARTIALLY SATURATED BEHAVIOUR WITH AIR PRESSURE NEGLECTED (pa = 0)
2.4 PARTIALLY SATURATED BEHAVIOUR WITH AIR FLOW CONSIDERED (pa 0)
2.5 ALTERNATIVE DERIVATION OF THE GOVERNING EQUATION (OF SECTION 2.22.4) BASED ON THE HYBRID MIXTURE THEORY
2.6 CONCLUDING REMARKS
REFERENCES 40
3 Finite Element Discretization and Solution of the Governing Equations
3.1 THE PROCEDURE OF DISCRETIZATION BY THE FINITE ELEMENT METHOD
3.2 u-p DISCRETIZATION FOR A GENERAL GEOMECHANICS FINITE ELEMENT CODE
3.3 THEORY: TENSORIAL FORM OF THE EQUATIONS
3.4 CONCLUSIONS
REFERENCES 25
4 Constitutive Relations Plasticity
4.1 INTRODUCTION
4.2 THE GENERAL FRAMEWORK OF PLASTICITY
4.3 CRITICAL STATE MODELS
4.4 GENERALIZED PLASTICITY MODELLING
4.5 ALTERNATIVE ADVANCED MODELS
4.6 CLOSURE
REFERENCES 138
5 Some Special Aspects of Analysis and Formulation: Radiation Boundaries, Adaptive Finite Element Requirement and Incompressible Behaviour
5.1 INTRODUCTION
5.2 FAR FIELD SOLUTIONS IN QUASI-STATIC PROBLEMS
5.3 INPUT FOR EARTHQUAKE ANALYSIS AND RADIATION BOUNDARY
5.4 ADAPTIVE REFINEMENT FOR IMPROVED ACCURACY AND THE CAPTURE OF LOCALIZED PHENOMENA
5.5 REGULARIZATION THRUOGH GRADIENT DEPENDENT PLASTICITY…