NUMERICAL METHODS AND IMPLEMENTATION IN GEOTECHNICAL ENGINEERING - PART 1

NUMERICAL METHODS AND IMPLEMENTATION IN GEOTECHNICAL ENGINEERING - PART 1

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Bibliographic Details
Author / Creator:Cheng, Y. M.
Imprint:[Place of publication not identified] BENTHAM Science PUBLISHER, 2020.
Description:1 online resource
Language:English
Series:Frontiers in Civil Engineering Ser.
Frontiers in Civil Engineering Ser.
Subject:
Earth sciences.
Geotechnical engineering.
Engineering design.
Engineering geology.
Foundations.
Earth sciences.
Engineering design.
Engineering geology.
Foundations.
Geotechnical engineering.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/12650577
Hidden Bibliographic Details
ISBN:9811437394
9789811437397
Summary:Numerical Methods and Implementation in Geotechnical Engineering explains several numerical methods that are used in geotechnical engineering. The first part of this reference set includes methods such as the finite element method, distinct element method, discontinuous deformation analysis, numerical manifold method, smoothed particle hydrodynamics method, material point method, plasticity method, limit equilibrium and limit analysis, plasticity, slope stability and foundation engineering, optimization analysis and reliability analysis. The authors have also presented different computer progr.
Other form:Print version: Cheng, Y.M. Numerical Methods and Implementation in Geotechnical Engineering - Part 1. Singapore : Bentham Science Publishers, ©2020 9789811437373
Table of Contents:
  • COVER
  • TITLE
  • COPYRIGHT
  • End User License Agreement
  • CONTENTS
  • PREFACE
  • ACKNOWLEDGEMENTS
  • CONSENT FOR PUBLICATION
  • CONFLICT OF INTEREST
  • Introduction
  • 1.1. INTRODUCTION
  • 1.2. MORE PROBLEM CASES FROM SLOPE STABILITY ANALYSIS
  • 1.2.1. A Slope with a Soft Band
  • 1.3. STRANGE RESULTS FROM MESH REFINEMENT
  • 1.4. GOVERNING EQUATIONS FOR SOME ENGINEERING PROBLEMS
  • 1.5. CLOSED-FORM SOLUTIONS
  • 1.6. LAYOUT OF THIS BOOK
  • Numerical Methods in Geotechnical Engineering
  • 2.1. INTRODUCTION TO PROGRAMMING
  • 2.1.1. Management of Input Data
  • 2.1.2. Some Geometry File
  • 2.1.3. Mesh Generation
  • 2.2. INTRODUCTION TO FINITE ELEMENT ANALYSIS
  • 2.2.1. Plane Strain
  • 2.2.2. Plane Stress
  • 2.2.2.1. Relationship between Plane Strain and Plane Stress
  • 2.2.3. Fundamentals of FEM
  • 2.2.4. Principle of Virtual Displacement
  • 2.2.5. Principle of Minimum Potential Energy (PMPE)
  • 2.3. GENERAL EXPRESSIONS AND IMPLEMENTATION PROCEDURE OF FEM
  • 2.3.1. Discretization of Domain
  • 2.3.2. Interpolation or Displacement Model
  • 2.3.3. Stiffness Equilibrium Equation (SEE) of FEM Derived from PMPE
  • 2.3.4. Derivation of Element Stiffness Matrices (ESM)
  • 2.3.5. Assembling of ESMs and ENLMs
  • 2.3.6. Isoparametric Element and Numerical Integration
  • 2.3.6.1. Derivative and Integral Transformation
  • 2.4. DEVELOPMENT OF A PSEUDO 8 NODE MINDLIN QUADRILATERAL PLATE ELEMENT
  • 2.4.1. Formulation of a New Shear Deformable Beam free from Shear Locking
  • 2.4.2. Formulation of Rectangular Shear Deformable Plate based on Shear Deformable Beam
  • 2.4.2.1. Formulation of the Shear Stiffness Matrix of the Thick Plate Element
  • 2.4.2.1.1. Transverse Shear Strain at Sides of Element
  • 2.4.2.1.2. Shear Strain within Element
  • 2.4.2.1.3. Formulation of the Stiffness Matrix of the Thick Plate Element
  • 2.4.3. Extension to General Quadrilateral Plate Element
  • 2.4.4. Structure of Program PLATE as Given in Appendix 2-4
  • 2.4.5. Numerical Implementation of Mindlin Plate Bending Program
  • 2.4.6. Development of a Pseudo 9 Node Mindlin Quadrilateral Plate Element
  • 2.4.6.1. Shear Stiffness Matrix
  • 2.4.6.2. Bending Stiffness Matrix
  • 2.4.7. Extension of "PLATE-Q9" to General Quadrilateral Element
  • 2.4.8. Performance of the "PLATE-Q9" Demonstrated by Numerical Examples
  • 2.4.9. Patch Test for PLATE-Q9
  • 2.4.9.1. Pure Bending Patch Test
  • 2.4.9.2. Patch Test for Shear
  • 2.4.9.3. Patch Test for Shear and Bending
  • 2.4.9.4. Patch Test for Twist
  • 2.5. FINAL DISCUSSION
  • APPENDIX 2-1. ILLUSTRATION OF REFINE INPUT FORMAT BY A GRID ANALYSIS PROGRAM.
  • APPENDIX 2-2. A SIMPLE TWO-DIMENSIONAL MESH GENERATION PROGRAM
  • APPENDIX 2-3. BANDWIDTH/PROFILE MINIMIZER
  • Appendix 2-3.1. Functions of Some Subroutines
  • Appendix 2-3.1.1. Subroutine ARRAY
  • Appendix 2-3.1.2. Subroutine GENRCM (GENeral RCM)
  • Appendix 2-3.1.3. Subroutine FNROOT (FiNd ROOT)

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