Originally published in Russian as “Boundary Element Method in Contact Problems for Elastic Spatial-and-Nonhomogeneous Bases”, 2000, Publishing House of Civil Engineering Universities Association, Moscow, Russia, ISBN 5-93093-
2010, XIX, 648 p.
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Presentation of Numerical Methods in Contact Problems of Geotechnics
The book presents a systematic approach to the numeric solution of a broad class of spatial contact problem in geotechnics. New techniques and efficient computing algorithms are considered on the basis of the boundary element method – a modern method of structural mechanics and theory of elasticity. Their practical application enables complex-shaped foundations to be designed with high reliability, under spatial loads. Much attention is paid to the formulation and analysis of spatial contact models for elastic bases. Along with classical schemes of contact deformation, new contact models are discussed for spatially nonhomogeneous and nonlinearly elastic media, adequately describing the soil properties. The boundary element method was effectively implemented in an originally developed Rostwerk software. The boundary element solutions are compared with the known experimental data as well as with solutions of similar problems by means of other methods and engineering approaches.
The proposed boundary element method for solving spatial contact problems is applied to demonstrate the possibility for developing new foundation constructions. A new procedure is described for the determination of the soil deformation modulus, developed from the solution of a contact problem for impression of a conical indenter into an elastic half-space.
All the topics under consideration are accompanied by extensive calculation data. The original results are complemented by a detailed review of the world literature.
This work is intended for the audience of research workers, design engineers, post-graduate students, undergraduates specializing in structural mechanics, theory of elasticity and geotechnics.