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Fracture and Damage Mechanics for Structural Engineering of Frames

Book Description

The certification of the structural integrity of buildings, bridges, and mechanical components is one of the main goals of engineers. For civil engineers especially, understanding the tools available for infrastructure analysis is an essential part of designing, constructing, and maintaining safe and reliable structures. Fracture and Damage Mechanics for Structural Engineering of Frames: State-of-the-Art Industrial Applications outlines the latest computational tools, models, and methodologies surrounding the analysis of wall and frame load support and resilience. Emphasizing best practices in computational simulation for civil engineering applications, this reference work is invaluable to postgraduate students, academicians, and engineers in the field.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Book Series
    1. Mission
    2. Coverage
  5. Dedication
  6. Preface
    1. HISTORICAL SKETCH
    2. ORGANIZATION OF THE BOOK
  7. Acknowledgment
  8. Chapter 1: Introduction to Structural Mechanics
    1. ABSTRACT
    2. 1.1 STRUCTURAL MECHANICS, ITS GOALS, AND WAYS
    3. 1.2 APPROACHES FOR THE GEOMETRICAL REPRESENTATION OF A STRUCTURE
    4. 1.3 APPROACHES FOR MATERIAL MODELING
    5. 1.4 SMALL AND LARGE DEFORMATIONS, QUASI-STATIC AND DYNAMIC LOADINGS
    6. REFERENCES
  9. Chapter 2: Fundamental Concepts of Strength of Materials
    1. ABSTRACT
    2. 2.1 KINEMATICS OF TIMOSHENKO BEAMS
    3. 2.2 STATICS OF TIMOSHENKO BEAMS
    4. 2.3 CONSTITUTIVE EQUATIONS OF TIMOSHENKO BEAMS
    5. 2.4 EULER-BERNOULLI BEAM THEORY
    6. 2.5 TORSION
    7. 2.6. SUMMARY AND EQUATIONS QUICK REFERENCE
    8. 2.7 EXAMPLES
    9. 2.8. PROBLEMS
    10. REFERENCES
  10. Chapter 3: Elastic Frames
    1. ABSTRACT
    2. 3.1 KINEMATICS OF PLANAR FRAMES
    3. 3.2 DYNAMICS OF PLANAR FRAMES
    4. 3.3 CONSTITUTIVE EQUATIONS FOR A SLENDER FRAME MEMBER
    5. 3.4 CONSTITUTIVE EQUATIONS FOR FRAME MEMBERS OF ANY ASPECT RATIO
    6. 3.5 TRIDIMENSIONAL ELASTIC FRAMES
    7. 3.6. SUMMARY AND EQUATIONS QUICK REFERENCE
    8. 3.7. EXAMPLES
    9. 3.8. PROBLEMS
    10. REFERENCES
  11. Chapter 4: Analysis of Elastic Frames
    1. ABSTRACT
    2. 4.1 THE DIRECT STIFFNESS METHOD
    3. 4.2 STATIC ANALYSIS OF NONLINEAR ELASTIC FRAMES
    4. 4.3 DYNAMIC ANALYSIS OF ELASTIC FRAMES
    5. 4.4 SUMMARY AND EQUATIONS QUICK REFERENCE
    6. 4.5 EXAMPLES
    7. 4.6 PROBLEMS
    8. 4.7 PROJECTS
    9. REFERENCES
  12. Chapter 5: Fundamental Concepts of Plasticity
    1. ABSTRACT
    2. 5.1 EXPERIMENTAL BEHAVIOR OF DUCTILE MATERIALS
    3. 5.2 ELASTO-PERFECT PLASTIC CONSTITUTIVE MODEL
    4. 5.3 ELASTO-PLASTIC MODEL WITH LINEAR ISOTROPIC HARDENING
    5. 5.4 ELASTO-PLASTIC MODEL WITH NONLINEAR ISOTROPIC HARDENING
    6. 5.5 ELASTO-PLASTIC MODEL WITH LINEAR KINEMATIC HARDENING
    7. 5.6 ELASTO-PLASTIC MODEL WITH NONLINEAR KINEMATIC HARDENING
    8. 5.7 ELASTO-PLASTIC SHEAR STRESS-STRAIN RELATIONSHIP
    9. 5.8 SUMMARY AND EQUATIONS QUICK REFERENCE
    10. 5.9 EXAMPLES
    11. 5.10 PROBLEMS
    12. REFERENCE
  13. Chapter 6: The Plastic Hinge
    1. ABSTRACT
    2. 6.1 ELASTO-PLASTIC MOMENT VS. CURVATURE RELATIONSHIP
    3. 6.2 THE PERFECT PLASTIC HINGE
    4. 6.3 PLASTIC HINGE WITH HARDENING
    5. 6.4 PERFECTLY PLASTIC HINGE SUBJECTED TO BENDING AND AXIAL FORCES
    6. 6.5 PLASTIC HINGES IN REINFORCED CONCRETE ELEMENTS
    7. 6.6 PLASTIC HINGE WITH PINCHING EFFECT DUE TO SLIP
    8. 6.7 SUMMARY AND EQUATIONS QUICK REFERENCE
    9. 6.8 EXAMPLES
    10. 6.9 PROBLEMS
    11. REFERENCES
  14. Chapter 7: Elasto-Plastic Frames
    1. ABSTRACT
    2. 7.1 ELASTO-PLASTIC CONSTITUTIVE MODEL FOR A SLENDER ELEMENT OF A PLANAR FRAME
    3. 7.2 ELASTO-PLASTIC CONSTITUTIVE MODEL FOR SQUAT RC ELEMENTS
    4. 7.3 SHEAR PROPERTIES OF RC ELEMENTS
    5. 7.4 AN ELASTO-PLASTIC CONSTITUTIVE MODEL FOR ELEMENTS OF ANY ASPECT RATIO
    6. 7.5 TRIDIMENSIONAL ELASTO-PLASTIC FRAMES
    7. 7.6 SUMMARY AND EQUATIONS QUICK REFERENCE
    8. 7.7 EXAMPLES
    9. 7.8. PROBLEMS
    10. REFERENCES
  15. Chapter 8: Analysis of Elasto-Plastic Frames
    1. ABSTRACT
    2. 8.1 THE HINGE-BY-HINGE METHOD FOR PERFECTLY PLASTIC FRAMES
    3. 8.2 ELASTIC PREDICTOR - PLASTIC CORRECTOR ALGORITHM
    4. 8.3 GENERAL ANALYSIS OF ELASTO-PLASTIC FRAMES
    5. 8.4 SUMMARY AND EQUATIONS QUICK REFERENCE
    6. 8.5 EXAMPLES
    7. 8.6 PROBLEMS
    8. 8.7 PROJECTS
    9. REFERENCES
  16. Chapter 9: Fundamental Concepts of Fracture and Continuum Damage Mechanics
    1. ABSTRACT
    2. 9.1 GRIFFITH CRITERION AND FRACTURE MECHANICS
    3. 9.2 UNIAXIAL DAMAGE MECHANICS MODELS
    4. 9.3 STRAIN AND DAMAGE LOCALIZATION
    5. 9.4 SUMMARY AND EQUATIONS QUICK REFERENCE
    6. 9.5 EXAMPLES
    7. 9.6 PROBLEMS
    8. REFERENCES
  17. Chapter 10: Lumped Damage Mechanics
    1. ABSTRACT
    2. 10.1 THE LUMPED DAMAGE MODEL
    3. 10.2 GENERALIZED GRIFFITH CRITERION FOR AN INELASTIC HINGE
    4. 10.3 CRACK RESISTANCE FUNCTION OF AN INELASTIC HINGE
    5. 10.4 YIELD FUNCTION OF A DAMAGED PLASTIC HINGE
    6. 10.5 SOME NUMERICAL SIMULATIONS WITH THE DAMAGE MODEL
    7. 10.6 A MODEL OF DAMAGE FOR RC ELEMENTS CONSIDERING ULTRA-LOW CYCLE FATIGUE EFFECTS
    8. 10.7 ANALYSIS OF DAMAGED FRAMES
    9. 10.8 LIMITATIONS OF THE DAMAGE MECHANICS MODEL
    10. 10.9 SUMMARY AND EQUATIONS QUICK REFERENCE
    11. 10.10 EXAMPLES
    12. 10.11 PROBLEMS
    13. 10.12 PROJECTS
    14. REFERENCES
  18. Chapter 11: Damage Mechanics of Dual Systems
    1. ABSTRACT
    2. 11.1 EXPERIMENTAL ANALYSIS OF RC ELEMENTS OF VARIOUS ASPECT RATIOS
    3. 11.2 ELASTICITY LAW FOR FRAME MEMBERS OF ANY ASPECT RATIO
    4. 11.3 DAMAGE EVOLUTION LAWS
    5. 11.4 PLASTIC DEFORMATIONS EVOLUTION LAWS
    6. 11.5 ANALYSIS OF DUAL SYSTEMS
    7. 11.6 SUMMARY AND EQUATIONS QUICK REFERENCE
    8. 11.7 PROJECTS
    9. REFERENCES
  19. Chapter 12: Unilateral Damage in Reinforced Concrete Frames
    1. ABSTRACT
    2. 12.1 ELASTICITY LAW UNDER CYCLIC LOADING
    3. 12.2 INTERNAL VARIABLES EVOLUTION LAWS UNDER CYCLIC LOADING
    4. 12.3 NUMERICAL SIMULATIONS OF THE BEHAVIOR OF RC ELEMENTS OF DIFFERENT ASPECT RATIOS
    5. 12.4 DAMAGE IN A RC WIDE BEAM-COLUMN JOINT
    6. 12.5 TORSION DAMAGE
    7. 12.6 DAMAGE MODEL FOR TRIDIMENSIONAL FRAMES
    8. 12.7 SUMMARY AND EQUATIONS QUICK REFERENCE
    9. 12.8 EXAMPLES
    10. 12.9 PROJECTS
    11. REFERENCES
  20. Chapter 13: Industrial Applications
    1. ABSTRACT
    2. 13.1 ANALYSIS AND DIAGNOSIS OF VULNERABLE STRUCTURES
    3. 13.2 PORTAL OF DAMAGE
    4. 13.3 INDUSTRIAL APPLICATIONS
    5. 13.4 SUMMARY
    6. REFERENCES
  21. Chapter 14: Lumped Damage Mechanics
    1. ABSTRACT
    2. 14.1 LOCAL BUCKLING DAMAGE MODEL FOR PLANAR MONO-SIGN LOADINGS
    3. 14.2 THE COUNTER-BUCKLING EFFECT AND A MODEL FOR GENERAL PLANAR LOADINGS
    4. 14.3 DAMAGE MODEL FOR TRIDIMENSIONAL STEEL FRAMES
    5. 14.4 ANALYSIS OF STEEL FRAMES WITH LOCAL BUCKLING
    6. 14.5 SUMMARY AND EQUATIONS QUICK REFERENCE
    7. REFERENCES
  22. Compilation of References
  23. About the Authors