Solutions for Biot's Poroelastic Theory in Key Engineering Fields

Theory and Applications

Yuanqiang Cai, Honglei Sun

• Publisher: Elsevier
• Year: 2017
• ISBN:
  9780128126509
• Topic: Technology & Engineering
• Subtopic: Civil Engineering
• Index: Technology & Engineering

Solutions for Biot's Poroelastic Theory in Key Engineering Fields: Theory and Applications provides solutions related to soil-structure interactions based on a poroelasticity theory, including moving loads such as trains. This book provides the commonly used methods for solving Biot's formulations and conclusions on fully-saturated soil dynamics. It presents various solution methods used in Biot's theory, such as the integral transformation method, the wave potential decomposition method, the finite element, and the 2.5D finite element method. It is suitable for graduate students, researchers and engineers who are interested in the soil-structure interaction problem with Biot's theory, as well as engineers in several subdisciplines.

• Focuses on the structure-saturated soil interactions based on Biot's theory
• Provides solutions (analytical and numerical) related to soil-structure interactions based on a poroelasticity theory, including moving loads such as trains
• Includes common and novel solution methods for Biot's formulation

Chapter 1

Basic Equations and Governing Equations

Abstract

The basic equations, the governing equations and the boundary conditions of Biot's theory and its transformed forms, which are essential for solving engineering problems in a fully saturated poroelastic medium, are given both in a Cartesian coordinate system and a cylindrical coordinate system. The relationships between these coordinate systems are given as well. The basic equations include the geometric equations, the equations of motion and the constitutive equations.

Keywords

Biot's theory; Principle of effective stress; Poroelastic; Boundary conditions

This chapter introduces the basic equations, the governing equations and the boundary conditions of Biot's theory and its transformed forms, which are essential for solving engineering problems in a fully saturated poroelas...

Table of contents

• Cover image
• Title page
• Table of Contents
• Copyright
• Introduction
• Chapter 1: Basic Equations and Governing Equations
• Chapter 2: Solutions for Saturated Soil Under Moving Loads and Engineering Applications
• Chapter 3: Problems for Vibrations of Foundations
• Chapter 4: Dynamic Responses of Foundations Under Elastic Waves
• Chapter 5: Isolation of Elastic Waves
• Chapter 6: Biot's Theory in the Finite Element Method
• Appendix A
• Appendix B
• Appendix C
• Appendix D
• Appendix E
• Appendix F
• Appendix G
• References
• Index