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Mechanics of Non-Homogeneous and Anisotropic Foundations

  • Book
  • © 2001

Overview

Authors:
  1. B. Grigori Muravskii

    1. Geotechnical Department, Faculty of Civil Engineering Technicon, Haifa, Israel

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  • Mathematical thorough treatment of a topical problem in soil-structure interaction For scientists in geotechnical engineering and elastic wave propagation

Part of the book series: Foundations of Engineering Mechanics (FOUNDATIONS)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-X
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  2. Introduction

    • B. Grigori Muravskii
    Pages 1-4

  3. General Solutions of Harmonic Vibrations in Heterogeneous Transversely Isotropic Half-Space

    • B. Grigori Muravskii
    Pages 5-67

  4. Static and Dynamic Problems for Homogeneous Transversely Isotropic Half-Space

    • B. Grigori Muravskii
    Pages 68-167

  5. Mechanics of Isotropic Half-Space with Shear Modulus Varying Linearly with Depth

    • B. Grigori Muravskii
    Pages 168-256

  6. Mechanics of Transversely Isotropic Half-Space with Stiffness Varying Exponentially with Depth

    • B. Grigori Muravskii
    Pages 257-280

  7. Application of Numerical—Analytical Methods to Static and Dynamic Problems for Heterogeneous Half-Space

    • B. Grigori Muravskii
    Pages 281-355

  8. Back Matter

    Pages 356-366
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Keywords

About this book

Although realistic soil and rock foundations reveal noticeable deviations in their properties from homogeneity and isotropy, the model of the homogeneous isotropie elastic half-space is widely used when studying static and dynamie interactions between a defonnable foundation and structures. This is explained by significant mathematieal difficulties inherent in problems conceming mechanies of anisotropie and heterogeneous elastic bodies. Solving the basic static and dynamie problems for heterogeneous and anisotropic half-spaces, such as different contact problems and problems of constructing Green's functions, has become possible in the last few decades due to the development of computer engineering techniques and numerical methods. This book contains the results of investigations in the area of statics and dynamies of heterogeneous and anisotropic foundations, carried out by the author in the last five years while working in the Faculty of Civil Engineering at Technion - Israel Institute of Technology. The book is directed at engineers and scientists in the areas of soil mechanics, soil-structures interaction, seismology and geophysics. Some characteristic features of the book are: i) Constructing (Chap.l) solutions in a general fonn for the heterogeneous (in the depth direction) transversely isotropic elastic half-space subjected to different loadings, hannonic in time. Characteristics of the given half-space have an influence on functions (of depth z and parameter k of Hankel's transfonns), which are detennined from a system of ordinary differential equations.

Authors and Affiliations

  • Geotechnical Department, Faculty of Civil Engineering Technicon, Haifa, Israel

    B. Grigori Muravskii

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