Mechanics of Non-Homogeneous and Anisotropic Foundations (Foundations of Engineering Mechanics) - Hardcover

Muravskii, Grigori

Hardcover

ISBN 10: 3540416315 ISBN 13: 9783540416319

Publisher: Springer, 2001

Synopsis

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.

About this title

From the Back Cover

This book contains new results in the area of statics and dynamics of heterogeneous and anisotropic foundations. The book is directed at engineers and scientists in the area of soil mechanics, soil-structures interaction, seismology and geophysics. Some characteristic features of the book are the construction of general solutions of harmonic vibrations in the transversely isotropic half-space and the presentation of new analytic solutions relating to the homogeneous transversely isotropic elastic half-space subjected to the action of external forces or for half-spaces with stiffness varying exponentially with depth. Numerical-analytical methods for the considered problems of static and dynamic interactions between a deformable foundation and structures are presented as well. The book also presents a large number of computational results which give a clear picture of the behavior of the presented rock and soil foundation systems.

Edition details

• Publisher: Springer
• Publication date: 2001
• Language: English
• ISBN 10: 3540416315
• ISBN 13: 9783540416319
• Binding: Hardcover
• Edition number: 1
• Number of pages: 364