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Primer on Theoretical Soil Mechanics [Kietas viršelis]

(University of Innsbruck)
  • Formatas: Hardback, 196 pages, aukštis x plotis x storis: 260x183x13 mm, weight: 570 g, Worked examples or Exercises
  • Išleidimo metai: 04-Aug-2022
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1009210335
  • ISBN-13: 9781009210331
  • Formatas: Hardback, 196 pages, aukštis x plotis x storis: 260x183x13 mm, weight: 570 g, Worked examples or Exercises
  • Išleidimo metai: 04-Aug-2022
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1009210335
  • ISBN-13: 9781009210331
Multitudes of aspects of theoretical soil mechanics and an alternative theory for constitutive modelling, the theory of barodesy, are introduced in this novel title. Conceptual discussions on coding these concepts are presented in geotechnical engineering, also applicable in other disciplines such as mining and chemical engineering as well.

A Primer to Theoretical Soil Mechanics is about adapting continuum mechanics to granular materials. The field of continuum mechanics offers many fruitful concepts and methods, however there is declining interest in the field due to its complex and fragmented nature. This book's purpose is therefore to facilitate the understanding of the theoretical principles of soil mechanics, as well as introducing the new theory of barodesy. This title argues for barodesy as a simple alternative to the plasticity theory used currently and provides a systematic insight into this new constitutive model for granular materials. This book therefore introduces a complex field from a fresh and innovative perspective using simple concepts, succinct equations and explanatory sketches. Intended for advanced undergraduates, graduates and PhD students, this title is also apt for researchers seeking advanced training on fundamental topics.

Recenzijos

'The last several decades have seen a surge of papers on the constitutive modelling of soils, the vast majority of them based on complex and often obscure plasticity concepts. Scientists not specializing in the field lost track and got largely confused. The present book by one of the most prominent scholars in the field succeeds in structuring both the fundamentals and the essential knowledge gained hitherto in a very appealing concise form The underlying principles are easy to follow and the resulting equations astonishingly short. Predictions of the soil response reproduce all essential features observed in experiments. Besides theory, the text contains justified criticism on current issues in civil engineering. The book is a pleasure to read, and will hopefully become, especially for young scientists, a guide to navigate through the complex field of soil mechanics.' Christos Vrettos, Technical University of Kaiserslautern 'With this book, Prof. Kolymbas has successfully created a future reference work in which the connections between continuum mechanics and soil mechanics are presented clearly and precisely. The author systematically bridges the topics of soil mechanics with continuum mechanics. First, the basic to more manifold soil behavior is introduced, followed by the basics of continuum mechanics. Later, an introduction to different frameworks for modelling soils, such as Plasticity, Hypoplasticity and Barodesy, is given. Prof Kolymbas has created an objective book written with passion and inspiration.' Hans Henning Stutz, Karlsruhe Institute of Technology, Institute for Soil Mechanics and Rock Mechanics 'This work by Kolymba is simply fantastic: as a primer on 'continuum mechanics adapted to soil, a granular material' (p. ix) it is surprisingly - even incredibly - readable and readily understandable, against all possibly preemptive expectations held by prospective readers a very attractive textbook choice for any student of geology, engineering, or soil science Highly recommended.' M. S. Field, Choice

Daugiau informacijos

An in-depth, comprehensible approach to theoretical soil mechanics and an introduction to the new theory of barodesy.
Preface ix
1 Granular Materials as Soft Solids
1(4)
1.1 Soil and Geotechnical Engineering
1(1)
1.2 Granulates in Chemical Engineering
2(1)
1.3 Can We Consider Granular Media as Continua?
2(1)
1.4 Differences between Granulates and Other Solids
3(2)
2 Mechanical Behaviour of Soil: Experimental Results
5(20)
2.1 The Meaning of Mechanical Behaviour
5(1)
2.2 Element Tests
5(1)
2.3 Typical Laboratory Tests
6(1)
2.4 Oedometric Test
6(1)
2.5 Drained Triaxial Test
7(5)
2.6 Undrained Triaxial Tests
12(2)
2.7 Cyclic Tests
14(2)
2.8 True Triaxial Apparatus
16(2)
2.9 Simple Shear
18(1)
2.10 Strain-versus Stress-Control
19(1)
2.11 Role of Time
20(2)
2.12 Accuracy of Test Results
22(1)
2.13 Looking into the Samples
23(2)
3 Mechanical Behaviour of Soil: Intuitively
25(6)
3.1 Equations versus Intuition
25(1)
3.2 Proportional Paths for Granular Materials
25(1)
3.3 Relation between Strain Paths and Stress Paths
25(1)
3.4 Proportional Straining Starting at T ≠ 0
26(1)
3.5 Triaxial Tests
27(4)
4 Vectors and Tensors
31(4)
4.1 Purpose of This
Chapter
31(1)
4.2 Vectors
31(1)
4.3 Tensors
32(3)
5 Fields
35(3)
5.1 Fields in Continuum Mechanics
35(1)
5.2 Coordinates
35(1)
5.3 Vector Fields
36(1)
5.4 Continuous Fields and Discontinuities
37(1)
6 Deformation
38(9)
6.1 Deformation and Grain Rearrangement
38(1)
6.2 How to Describe Deformation?
38(1)
6.3 Euler and Lagrange Approaches
38(1)
6.4 Deformation Gradient
39(1)
6.5 Rotation
40(1)
6.6 Displacement Gradient
41(2)
6.7 Time and Spatial Derivatives
43(1)
6.8 Example: Simple Shear
44(1)
6.9 Equations of Compatibility
45(2)
7 Stress
47(5)
7.1 What Is the Stress Tensor?
47(1)
7.2 Mohr Circle
48(1)
7.3 Principal Stress Space
48(1)
7.4 Stress Tensor in Cylindrical Coordinates
49(1)
7.5 Invariants and Eigenvalues
50(1)
7.6 Example: Stress in a Shear Box
51(1)
8 Conservation Laws (Balance Equations)
52(10)
8.1 Integrals of Motion
52(1)
8.2 Conservation Laws as Field Equations
52(3)
8.3 Weak Solution of the Equilibrium Equation
55(1)
8.4 Jump Relations
56(1)
8.5 Integral Representations of Conservation Equations
57(1)
8.6 Stress and Intergranular Forces
57(1)
8.7 Stress Fields
58(4)
9 Internal Friction and Shear Strength
62(7)
9.1 Meaning of Strength
62(1)
9.2 Dry Friction in Continuum Mechanics
62(2)
9.3 Friction Angle
64(1)
9.4 Cohesion
65(2)
9.5 Rock as Frictional Material
67(2)
10 Collapse
69(13)
10.1 Importance of Collapse in Soil Mechanics
69(1)
10.2 The Phenomenon of Collapse
69(1)
10.3 Plastified Zones
70(5)
10.4 Collapse Mechanisms
75(3)
10.5 Safety
78(3)
10.6 Imminent Collapse
81(1)
11 Constitutive Equations
82(6)
11.1 Constitutive Equation versus Constitutive Law
82(1)
11.2 Why Do We Need Constitutive Equations?
82(1)
11.3 Are Constitutive Equations Dispensable in View of Artificial Intelligence?
83(1)
11.4 Material Constants
83(1)
11.5 Calibration
84(1)
11.6 Response Envelopes
84(1)
11.7 Proportional Strain Paths
85(1)
11.8 Large Deformations
86(1)
11.9 Role of Thermodynamics
86(1)
11.10 Comparison of Constitutive Equations
87(1)
12 Elasticity
88(4)
12.1 Definition of Elasticity
88(1)
12.2 Linear Elasticity
88(1)
12.3 Modifications of Elasticity
89(1)
12.4 Elasticity in Soil Mechanics
90(2)
13 Elastic Waves
92(11)
13.1 Purpose of This
Chapter
92(1)
13.2 What Are Waves?
92(1)
13.3 Kinematic Waves
93(1)
13.4 Elastic Waves in One-dimensional Continua
94(4)
13.5 Waves in Bodies of Finite Dimensions
98(2)
13.6 Body Waves
100(1)
13.7 Rayleigh Waves
101(1)
13.8 Impairment Due to Waves
102(1)
14 Plasticity Theory
103(6)
14.1 Relevance of Plasticity Theory
103(1)
14.2 One-dimensional Origin of Plasticity
103(1)
14.3 Yield Function, Loading-Unloading
103(1)
14.4 Normality Rule
104(1)
14.5 Collapse or Limit Load Theorems
105(1)
14.6 Elastoplastic Relations for Soil
106(1)
14.7 Criticism of Plasticity Theory in Soil Mechanics
107(2)
15 Hypoplasticity
109(4)
15.1 Hypoplasticity as an Alternative to Elastoplasticity
109(1)
15.2 Non-linear Rate Equations
109(1)
15.3 Notation
110(1)
15.4 Incremental Non-linearity
110(1)
15.5 Mathematical Description of Irreversibility
110(1)
15.6 Emergence of Hypoplasticity
111(1)
15.7 Links to Elastoplasticity
112(1)
15.8 Improving Memory by Means of Intergranular Strain
112(1)
16 Barodesy
113(23)
16.1 Introduction
113(1)
16.2 Notation
113(1)
16.3 Derivation of the Constitutive Equation
114(1)
16.4 The Equations of Barodesy
115(1)
16.5 Critical States Revisited
116(3)
16.6 The R-function
119(3)
16.7 Calibration
122(1)
16.8 Simulation of Element Tests
123(1)
16.9 Barodesy for Sand
124(5)
16.10 Barodesy for Clay
129(3)
16.11 Reflecting upon Barodesy
132(1)
16.12 Numerical Simulation of Element Tests
133(3)
17 Uniqueness
136(5)
17.1 Meaning of Uniqueness and Related Notions
136(1)
17.2 Uniqueness in Element Tests
136(1)
17.3 Shear Bands and Faults
137(4)
18 Symmetry
141(13)
18.1 General Remarks
141(1)
18.2 Principle of Material Frame Indifference
141(5)
18.3 Isotropic Materials
146(1)
18.4 Scaling
147(3)
18.5 Mechanical Similarity
150(4)
19 Interaction with Water
154(16)
19.1 Water in Soil
154(1)
19.2 Multiphase Materials
154(2)
19.3 Effective Stress in Water-saturated Soil
156(1)
19.4 Darcy'sLaw
157(1)
19.5 Balance Equations
158(2)
19.6 Consolidation
160(1)
19.7 Groundwater Flow
160(4)
19.8 Unsaturated Soil: An Exkurs to Physical Chemistry
164(6)
20 Computing in Soil Mechanics
170(7)
20.1 Pitfalls of Computing
170(1)
20.2 Problems with Geotechnical Engineering Computations
171(2)
20.3 Limits of Continuum Mechanics
173(1)
20.4 Quality of Numerical Results
173(1)
20.5 Coping with Uncertain Predictions
174(3)
21 Outlook
177(1)
21.1 Open Questions
177(1)
References 178(7)
Index 185
Dimitrios Kolymbas is Emeritus Professor at the University of Innsbruck, Austria, where he worked from 1994 to 2017 as Professor at the Unit of Geotechnical Engineering and Tunnel Engineering. He is the author of several books and more than 100 papers, and invented the new constitutive theories of hypoplasticity and barodesy.