Numerical Methods and Implementation in Geotechnical Engineering - Part 2.

Numerical Methods and Implementation in Geotechnical Engineering - Part 2.

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Bibliographic Details
Author / Creator:Cheng, Y. M.
Imprint:Singapore : Bentham Science Publishers, 2020.
Description:1 online resource (672 p.).
Language:English
Series:Frontiers in Civil Engineering Ser.
Frontiers in Civil Engineering Ser.
Subject:
Geotechnical engineering.
Geotechnical engineering.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12651000
Hidden Bibliographic Details
Other authors / contributors:Wang, J. H.
Liang, Li.
ISBN:9789811437427
9811437424
Notes:Description based upon print version of record.
1.7.1. Normal Contact Matrix
Summary:Numerical Methods and Implementation in Geotechnical Engineering explains several numerical methods that are used in geotechnical engineering. The second part of this reference set includes more information on the distinct element method, geotechnical optimization analysis and reliability analysis. Information about relevant additional numerical methods is also provided in each chapter with problems where applicable. The authors have also presented different computer programs associated with the materials in this book set which will be useful to students learning how to apply the models explai.
Other form:Print version: Cheng, Y. M. Numerical Methods and Implementation in Geotechnical Engineering - Part 2 Singapore : Bentham Science Publishers,c2020 9789811437403
Table of Contents:
  • Cover
  • Title
  • Copyright
  • End User License Agreement
  • Contents
  • Preface
  • ACKNOWLEDGEMENTS
  • CONSENT FOR PUBLICATION
  • CONFLICT OF INTEREST
  • Distinct Element Method and Other Numerical Methods
  • 1.1. INTRODUCTION TO DISTINCT ELEMENT METHOD
  • 1.2. GENERAL FORMULATION OF DEM
  • 1.2.1. The Force-Displacement Law
  • 1.2.2. Law of Motion
  • 1.2.3. Measuring Logic for Particle Formulation
  • 1.2.4. Contact Constitutive Models
  • 1.2.5. Model Generation
  • 1.2.6. Modelling of Joints/Contacts
  • 1.3. DISTINCT ELEMENT PARTICLE ANALYSIS OF 3D SLOPE
  • 1.3.1. DEM Analysis of 3D Slope with Curvature
  • 1.3.2. Laboratory and 3D DEM Analysis of Failure Mechanism of Slope under External Surcharge
  • 1.4. DISCONTINUOUS DEFORMATION ANALYSIS
  • 1.4.1. Refined DDA Formulation by the Authors
  • 1.4.2. Discussion on DDA
  • 1.5. THE DEVELOPMENTS OF NMM
  • 1.5.1. Two dimensional Manifold Methods Based on Finite Element Covers and Comparisons with other Methods
  • 1.5.2. A Brief Review of 2D Covers in Manifold Method
  • 1.5.2.1. Finite Covers Formed by Mathematical Mesh and Physical Mesh
  • 1.5.2.2. Finite Covers Formed by Finite Element Nodes and Physical Boundaries
  • 1.5.2.3. Cover Functions and Weight Functions Based on Finite Element Mesh
  • 1.5.2.4. Equilibrium Equations
  • 1.5.3. A Supplement About Generation of Manifold Element
  • 1.5.4. Comparison with Other Numerical Methods
  • 1.5.5. Applications to Some Examples
  • 1.5.5.1. Tunnel Excavation
  • 1.5.5.2. Coal Extraction-Compared with Coupling Method of DDA and FEM
  • 1.5.6. Wilson Non-Conforming Element in Numerical Manifold Method
  • 1.5.6.1. Stiffness Matrix
  • 1.5.6.2. Inertial Force Matrix
  • 1.5.6.3. Fixed Point Matrix
  • 1.5.6.4. Initial Stress Matrix
  • 1.5.6.5. Point Loading Matrix
  • 1.5.6.6. Body Loading Matrix
  • 1.5.7. Three-dimensional Finite Element Covers of Manifold Method
  • 1.5.8. Brief Review of Previous Methods for Contact Detecting and Representation
  • 1.5.8.1. Direct Test for Contacts
  • 1.5.8.2. Common-plane Test for Contacts
  • 1.5.9. Penetration Edges Method for Detecting and Representing Contacts Between 3-D Blocks
  • 1.5.9.1. Description and Classification of Contacts Between 3-D Blocks
  • 1.5.9.2. Definition of Penetration Edge
  • 1.5.9.3. Obtaining Penetration Edges
  • 1.5.9.4. Testing and Distinguishing Contacts by Information of Penetration Edges
  • 1.5.10. Discussion of Contact Type
  • 1.5.11. Three Dimensional Manifold Method Based on Tetrahedron Element
  • 1.5.12. Displacement Functions and Weight Functions of a Tetrahedron Element
  • 1.6. EQUILIBRIUM EQUATIONS FOR 3D NMM BASED ON TETRAHEDRON ELEMENT
  • 1.6.1. Stiffness Matrix
  • 1.6.2. Initial stress matrix
  • 1.6.3. Point Loading Matrix
  • 1.6.4. Body Force Matrix
  • 1.6.5. Inertia Force Matrix
  • 1.6.6. Fixed Point Matrix
  • 1.7. 3D CONTACT DETECTION

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