| Obituary | 5 |
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| Foreword | 7 |
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| Preface | 9 |
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| Contents | 14 |
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| 1 Spatial Contact Models of Elastic Bases | 19 |
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| 1.1 Fundamental Solutions of Static Problems of Spatial Theory of Elasticity | 19 |
| 1.1.1 Concentrated Forces in an Elastic Body | 19 |
| 1.1.2 Green's Displacement Tensor | 20 |
| 1.1.3 Kelvin's Tensor of Influence | 21 |
| 1.2 Elastic Homogeneous Isotropic Half-Space | 23 |
| 1.2.1 Mindlin's Solution | 23 |
| 1.2.2 Boussinesq and Cerruti Solutions | 24 |
| 1.3 Coupled Half-Spaces | 26 |
| 1.4 Elastic Layered Bases | 30 |
| 1.4.1 Constant-Width Elastic Layer | 30 |
| 1.4.2 Variable-Thickness Elastic Layer | 35 |
| 1.4.3 Multilayer Elastic Half-Space | 43 |
| 1.5 Elastic Bases with the Deformation Modulus, Variable with Depth | 73 |
| 1.5.1 Variation of Deformation Modulus with Depth | 73 |
| 1.5.2 Normal Concentrated Force Acting on the Half-Space Surface | 76 |
| 1.5.3 Settlement of a Nonhomogeneous Half-Space Surface | 81 |
| References | 101 |
| 2 Static Analysis of Contact Problems for an Elastic Half-Space | 108 |
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| 2.1 Boundary Integral Equations of the Contact Problem for an Absolutely Rigid Punch, Deepened into an Elastic Half-Space, Under a Spatial Load System | 108 |
| 2.2 Finite-Measure Analogue of the Contact Problem Using Direct Boundary-Element Method | 113 |
| 2.3 Numerical-and-Analytical Method of Integration of Fundamental Mindlin's Solutions | 118 |
| 2.4 Punch in the Shape of a Rotation Body, Deepened into an Elastic Half-Space | 125 |
| 2.4.1 Axisymmetric Contact Problem | 127 |
| 2.4.2 Torsion of an Axisymmetric Punch in an Elastic Half-Space | 132 |
| 2.5 Contact Problems for Rigid Punches Located on the Elastic Base Surface | 136 |
| 2.5.1 Indentation of a Punch with a Flat Smooth Base into an Elastic Half-Space | 138 |
| 2.5.2 Torsion of an Elastic Half-Space by a Rigid Punch | 143 |
| References | 148 |
| 3 Computer Implementation of Boundary-Element Algorithms | 151 |
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| 3.1 Software for Solving Spatial Problems of Contact of Foundations with Soil Bases | 152 |
| 3.2 Specific Features of Numerical Solutions of Linear Algebraic Equation Systems with Non-symmetrical Matrices, Arising in Boundary-Element Analysis | 162 |
| 3.3 Effective Discretization of 2-D Domains of Complex Shape at Numerical Solving of Spatial Contact Problems of Theory of Elasticity | 166 |
| 3.3.1 Algorithm of Triangulation in the Boundary-Element Method | 167 |
| 3.3.2 Dual Grids and Their Application in Boundary-Element Method | 178 |
| 3.4 Automated Construction of Spatial Grids of Boundary Elements on the Surfaces of Contact of Deepened Foundation Structures with Soil | 190 |
| 3.5 Test Examples of Numerical Modeling of Spatial Problems of Contact Interaction | 208 |
| 3.5.1 Contact Problems for Flat Punches with a Smooth Base | 208 |
| 3.5.2 Contact Problems with the Account of the Deepening Factor for Axisymmetric Punches, Interacting with an Elastic Half-Space | 234 |
| References | 259 |
| 4 Contact Interaction of Shallow Foundations with Nonhomogeneous Bases | 266 |
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| 4.1 Spatial Contact Problems for Rigid Flat-Bottom Punches | 268 |
| 4.2 Contact Problems for Rigid Rectangular Punches, Resting on Elastic Nonhomogeneous Bases | 293 |
| 4.2.1 Contact Interaction at Central Loading | 297 |
| 4.2.2 Contact Interaction at Off-Centre Loading with the Account of Unilateral Constraints | 310 |
| 4.3 Control of the Parameters of Loading and Shape to Provide a Uniform Settlement of Rigid Foundation Plates | 315 |
| 4.3.1 Formulation of the Problem and Its Numerical Implementation | 316 |
| 4.3.2 External Load Control | 318 |
| 4.3.3 Shape Parameter Control | 322 |
| 4.4 Spatial Stress-Strained State of the Base of a Rigid Strip Variable-Width Foundation | 326 |
| 4.4.1 Contact Problem for a Variable-Width Strip Foundation | 327 |
| 4.4.2 Stress-Strained State of a Strip Foundation Base | 330 |
| 4.4.3 Contact Pressure Distribution in the Area of the Strip Foundation Width Variation | 332 |
| 4.5 Calculation of the Section Kernel Boundary for Rigid Foundation Plates | 338 |
| 4.6 Numerical Algorithms of Solving Boundary Integral Equations in Spatial Contact Problems for a Nonlinearly Deformable Base | 349 |
| 4.6.1 Spatial Contact Model for a Nonlinearly Deformable Base | 350 |
| 4.6.2 System of Nonlinear Contact Equations of the Contact Problem for Absolutely Rigid Punches of a Complex Shape with a Flat Base | 352 |
| 4.6.3 Iterative Processes of Solving a Finite-Measure Analogue of the Spatial Contact Problem for a Nonlinearly Deformable Base | 354 |
| 4.6.4 Contact Problem for a Round Punch on a Nonlinearly Deformable Base | 356 |
| 4.6.5 Estimation of Nonlinear Deformation Effects from Punch Test Results | 363 |
| 4.7 Contact Problem for Orthotropic Foundation Plates with the Account of the Specific Features of Spatially Nonhomogeneous Base Deformation | 366 |
| 4.7.1 Static Calculations of Foundation Plates on Elastic Bases | 367 |
| 4.7.2 System of Integro-Differential Equations of Bending of a Plate, Resting on an Elastic Base | 373 |
| 4.7.3 Calculation of Rectangular Orthotropic Plates Based on Combining Finite-Difference and Boundary-Element Methods | 376 |
| 4.7.4 Examples of Numerical Modelling of the Contact Interaction of Plates with Elastic Bases | 379 |
| References | 387 |
| 5 Calculation of Bases for Rigid Complex-Shaped Deepened Foundations According to the Second Limiting State in a Three-Dimensional Formulation | 400 |
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| 5.1 General Information on the Calculation of Bases for Foundation Structures from the Deformations | 405 |
| 5.2 Spatial Problems for Calculation of Foundation Bases with the Account of the Depth Factor | 411 |
| 5.3 Calculation of Bases for Pyramidal Piles Under Vertical, Horizontal, and Momental Loads | 430 |
| 5.3.1 Existing Approaches to the Calculation of Piles with a Variable Cross-Section | 431 |
| 5.3.2 Calculation for the Vertical Load | 435 |
| 5.3.3 Calculation for the Action of a Horizontal Load | 435 |
| 5.3.4 Calculation for the Action of an Inclined Load | 437 |
| 5.3.5 Calculation for the Combined Action of an Inclined Force and a Moment | 438 |
| 5.4 Interaction of Bases and Rigid Bored Foundations with Vertical and Inclined Piles | 439 |
| 5.4.1 Structure, Design, and Specific Features of Calculation of Rigid Pile Foundations with Short Piles and a Pile Raft | 440 |
| 5.4.2 Vertical Cylindrical Piles Under an Inclined Load | 443 |
| 5.4.3 Foundations with Inclined Piles and a Rectangular Pile Raft | 450 |
| 5.5 Spatial Contact Problem for a Bored Pile Foundation with a Widening | 453 |
| 5.5.1 Production and Structures of Bored Pile Foundations with a Support Widening | 454 |
| 5.5.2 Engineering Methods for Calculation of Bored Pile Foundation Bases from the Base Deformation | 456 |
| 5.5.3 Calculation of Deformations of the Base of a Bored Pile Foundation with a Spheroconical Widening Under a Central Loading (Axisymmetric Contact Problem) | 458 |
| 5.5.4 Calculation of Displacements and Slopes of a Bored Pile Foundation Under an Inclined Load | 463 |
| 5.6 Calculation of Contact Interaction of Bases with Slotted Foundations of Industrial and Civil Buildings | 469 |
| 5.6.1 Slotted Foundations of Various Structural Shapes | 469 |
| 5.6.2 Calculation of Slotted Foundations Based on the Base Deformation | 472 |
| 5.6.3 Contac
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