TY  - BOOK
AU  - Pietruszczak,S.
TI  - Fundamentals of plasticity in geomechanics
SN  - 9780415585163
AV  - TA710.5 .P54 2010
PY  - 2010///]
CY  - Boca Raton, FL
PB  - CRC Press
KW  - Soils
KW  - Plastic properties
KW  - Continuum mechanics
N1  - Includes bibliographical references (pages [189]-192); Contents; Preface; Chapter 1. Basic concepts of the theory of plasticity; 1.1 Typical approximations of uniaxial response of the material; 1.2 The notion of generalized yield/failure criterion; 1.3 Generalization of the concept of elastic-perfectly plastic and strain hardening material; 1.4 Determination of plastic strain; deformation and flow theories of plasticity; 1.5 Review of fundamental postulates of plasticity; uniqueness of the solution; Chapter 2. Elastic-perfectly plastic formulations in geomechanics; 2.1 General considerations; 2.2 Geometric representation of the failure surface; 2.3 Selection of stress invariants for the mathematical description; 2.4 Typical failure criteria for geomaterials; 2.4.1 Mohr-Coulomb failure criterion; 2.4.2 Drucker-Prager and other derivative criteria; 2.4.3 Modified criteria based on smooth approximations to Mohr-Coulomb envelope; 2.4.4 Non-linear approximations in meridional section; 2.5 Derivation of constitutive relation; 2.5.1 Matrix formulation; 2.6 Consequences of a non-associated flow rule; Chapter 3. Isotropic strain-hardening formulations; 3.1 'Triaxial' tests and their mathematical representation; 3.1.1 Mohr-Coulomb criterion in 'triaxial' space; 3.1.2 On the behaviour of a perfectly plastic Mohr-Coulomb material; 3.1.3 Review of typical mechanical characteristics of granular materials; 3.2 Volumetric hardening; Critical State model; 3.2.1 Formulation in the 'triaxial' {p,q} space; 3.2.2 Comments on the performance; 3.2.3 Generalization and specification of the constitutive matrix; 3.3 Deviatoric hardening model; 3.3.1 Formulation in the 'triaxial' {p,q} space; 3.3.2 Comments on the performance; 3.3.3 Generalization and specification of the constitutive matrix; 3.4 Combined volumetric-deviatoric hardening; 3.5 Specification of constitutive matrix under undrained conditions; Chapter 4. Combined isotropic-kinematic hardening rules; 4.1 Bounding surface plasticicty; volumetric hardening framework; 4.1.1 Formulation in the 'triaxial' {p,q} space; 4.1.2 Comments on the performance; 4.1.3 Generalization and specification of the constitutive matrix; 4.2 Bounding surface plasticicty; deviatoric hardening framework; 4.2.1 Formulation in the 'triaxial' {P,Q} space; 4.2.2 Comments on the performance; 4.2.3 Generalization and specification of the constitutive matrix; Chapter 5. Numerical integration of constitutive relations; 5.1 Euler's integration schemes; 5.2 Numerical integration of {p,q} formulation; 5.2.1 Stress-controlled scheme; 5.2.2 Strain-controlled schemes5.3 Numerical examples of integration in {p,q}-space; 5.3.1 Critical State model; drained p=const. Compression; 5.3.2 Deviatoric hardening model; drained 'triaxial' compression; 5.3.3 Deviatoric hardening model; undrained 'triaxial' compression; 5.4 General methods for numerical integration; 5.4.1 Statement of algorithmic problem; 5.4.2 Notion of closest point projection; 5.4.3 Return-mapping algorithms; Chapter 6. Introduction to limit analysis; 6.1 Formulation of lower and upper bound theorems; 6.2 Examples for applications of limit theorems in geotechnical engineering; Chapter 7. Description of inherent anisotropy in geomaterials; 7.1 Formulation of anisotropic failure criteria; 7.1.1 Specification of failure criteria based on critical plane approach; 7.1.2 Formulation of failure criteria incorporating a microstructure tensor; 7.2 Description of inelastic deformation process; 7.2.1 Plasticity formulation for critical plane approach; 7.2.2 Plasticity formulation incorporating a microstructure tensor; 7.2.3 Numerical examples; Chapter 8. Experimental trends in the mechanical behaviour of soils and rocks; 8.1 Basic mechanical characteristics in monotonic tests under drained conditions; 8.1.1 Influence of confining pressure; compaction/dilatancy; 8.1.2 Influence of Lode's angle and the phenomenon of strain localization; 8.2 Undrained response of granular media; pore pressure evolution, liquefaction; 8.3 Basic mechanical characteristics in cyclic tests; hysteresis and liquefaction; 8.4 Inherent anisotropy; strength characteristics of sedimentary rocks; 8.5 Identification of basic material parameters for soils/rocks; 8.5.1 General remarks on identification procedure; 8.5.2 Examples involving deviatoric hardening framework; Bibliography; Appendix: Suggested exercises
ER  -