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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.

Boundary element methods. --- Soil mechanics -- Mathematics. --- Soil mechanics. --- Soil mechanics --- Boundary element methods --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Mathematics --- Environmental geotechnology. --- Mathematics. --- Environmental geotechnics --- Geoenvironmental engineering --- BEM (Engineering analysis) --- BIE analysis --- BIE methods --- Boundary element analysis --- Boundary elements methods --- Boundary integral equation analysis --- Boundary integral equation methods --- Boundary integral methods --- Soil engineering --- Soils --- Soils (Engineering) --- Mechanics --- Engineering. --- Earth sciences. --- Mechanics. --- Applied mathematics. --- Engineering mathematics. --- Computational intelligence. --- Mechanics, Applied. --- Continuum mechanics. --- Theoretical and Applied Mechanics. --- Appl.Mathematics/Computational Methods of Engineering. --- Earth Sciences, general. --- Computational Intelligence. --- Continuum Mechanics and Mechanics of Materials. --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Engineering --- Engineering analysis --- Mathematical analysis --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Geosciences --- Environmental sciences --- Physical sciences --- Construction --- Industrial arts --- Technology --- Numerical analysis --- Geotechnical engineering --- Foundations --- Soil physics --- Environmental engineering --- Environmental geology --- Mechanics, applied. --- Geography. --- Mathematical and Computational Engineering. --- Classical Mechanics. --- Solid Mechanics. --- Cosmography --- Earth sciences --- World history