Introduction |
Elements of solid mechanics / 1: |
Stress / 1.1: |
Stress vector / 1.1.1: |
Stress tensor / 1.1.2: |
Equilibrium conditions / 1.1.3: |
Deformation and strain / 1.2: |
Strain tensor / 1.2.1: |
Strain rate / 1.2.2: |
Constitutive laws / 1.3: |
Elasticity / 1.3.1: |
Viscoelasticity / 1.3.2: |
Plasticity / 1.3.3: |
Energy principles / 1.4: |
Energy balance / 1.4.1: |
Principle of virtual work / 1.4.2: |
Theorems of Clapeyron and Betti / 1.4.3: |
Plane problems / 1.5: |
Plane stress, plane strain, longitudinal shear / 1.5.1: |
Linear elasticity, complex method / 1.5.2: |
Perfectly plastic material, slip line fields / 1.5.3: |
Further reading / 1.6: |
Classical fracture and failure hypotheses / 2: |
Basic concepts / 2.1: |
Failure hypotheses / 2.2: |
Principal stress hypothesis / 2.2.1: |
Principal strain hypothesis / 2.2.2: |
Strain energy hypothesis / 2.2.3: |
Coulomb-Mohr hypothesis / 2.2.4: |
Drucker-Prager hypothesis / 2.2.5: |
Deformation behavior during failure / 2.3: |
Micro and macro phenomena of fracture / 2.4: |
Microscopic aspects / 3.1: |
Surface energy, theoretical strength / 3.1.1: |
Microstructure and defects / 3.1.2: |
Crack formation / 3.1.3: |
Macroscopic aspects / 3.2: |
Crack growth / 3.2.1: |
Types of fracture / 3.2.2: |
Linear fracture mechanics / 3.3: |
General remarks / 4.1: |
Crack-tip field / 4.2: |
Two-dimensional crack-tip fields / 4.2.1: |
Mode-I crack-tip field / 4.2.2: |
Three-dimensional crack-tip field / 4.2.3: |
K-concept / 4.3: |
K-factors / 4.4: |
Examples / 4.4.1: |
Integral equation formulation / 4.4.2: |
Method of weight functions / 4.4.3: |
Crack interaction / 4.4.4: |
Fracture toughness K[subscript Ic] / 4.5: |
Energy release during crack propagation / 4.6: |
Energy release rate / 4.6.2: |
Compliance, energy release rate, and K-factors / 4.6.3: |
Energy balance, Griffith's fracture criterion / 4.6.4: |
J-integral / 4.6.5: |
Small-scale yielding / 4.7: |
Plastic zone size, Irwin's crack length correction / 4.7.1: |
Qualitative remarks on the plastic zone / 4.7.2: |
Stable crack growth / 4.8: |
Mixed-mode loading / 4.9: |
Fatigue crack growth / 4.10: |
Interface cracks / 4.11: |
Piezoelectric materials / 4.12: |
Basic principles / 4.12.1: |
The crack in a ferroelectric material / 4.12.2: |
Elastic-plastic fracture mechanics / 4.13: |
Dudgale model / 5.1: |
Perfectly plastic material / 5.3: |
Total strain theory, HRR-field / 5.3.2: |
Fracture criterion / 5.4: |
Determination of J / 5.5: |
Determination of J[subscript c] / 5.6: |
Crack propagation / 5.7: |
J-controlled crack growth / 5.7.1: |
Steady-state crack growth / 5.7.2: |
Essential work of fracture / 5.8: |
Creep fracture / 5.9: |
Fracture of linear viscoelastic materials / 6.1: |
Crack-tip field, elastic-viscoelastic analogy / 6.2.1: |
Fracture concept / 6.2.2: |
Creep fracture of nonlinear materials / 6.2.3: |
Secondary creep, constitutive law / 6.3.1: |
Stationary crack, crack-tip field, loading parameters / 6.3.2: |
Creep crack growth / 6.3.3: |
Dynamic fracture mechanics / 6.4: |
Some foundations of elastodynamics / 7.1: |
Dynamic loading of a stationary crack / 7.3: |
Crack-tip field, K-concept / 7.3.1: |
Energy release rate, energetic fracture criterion / 7.3.2: |
Fracture concept, crack-tip speed, crack branching, crack arrest / 7.3.3: |
Micromechanics and homogenization / 7.4.4: |
Selected defects and fundamental solutions / 8.1: |
Eigenstrain, Eshelby's result, defect energies / 8.2.1: |
Inhomogeneities, the concept of equivalent eigenstrain / 8.2.2: |
Effective elastic properties / 8.3: |
Foundations; RVE concept, averaging / 8.3.1: |
Analytical approximations / 8.3.2: |
Energy methods and bounds / 8.3.3: |
Homogenization of elastic-plastic materials / 8.4: |
Foundations; macroscopic plastic strain, dissipation, macroscopic yield condition / 8.4.1: |
Approximations / 8.4.2: |
Thermoelastic material / 8.5: |
Damage mechanics / 8.6: |
Foundations / 9.1: |
Brittle damage / 9.3: |
Ductile damage / 9.4: |
Void growth / 9.4.1: |
Damage models / 9.4.2: |
Probabilistic fracture mechanics / 9.4.3: |
Statistical fracture concept of Weibull / 10.1: |
Fracture probability / 10.3.1: |
Fracture stress / 10.3.2: |
Generalizations / 10.3.3: |
Probabilistic fracture mechanical analysis / 10.4: |
Index / 10.5: |
Introduction |
Elements of solid mechanics / 1: |
Stress / 1.1: |