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Computational Modeling of Masonry Structures Using the Discrete Element Method

Book Description

The Discrete Element Method (DEM) has emerged as a solution to predicting load capacities of masonry structures. As one of many numerical methods and computational solutions being applied to evaluate masonry structures, further research on DEM tools and methodologies is essential for further advancement. Computational Modeling of Masonry Structures Using the Discrete Element Method explores the latest digital solutions for the analysis and modeling of brick, stone, concrete, granite, limestone, and glass block structures. Focusing on critical research on mathematical and computational methods for masonry analysis, this publication is a pivotal reference source for scholars, engineers, consultants, and graduate-level engineering students.

Table of Contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Book Series
    1. Mission
    2. Coverage
  5. Preface
  6. Chapter 1: On the Mechanical Behavior of Masonry
    1. ABSTRACT
    2. INTRODUCTION
    3. FACTORS INFLUENCING THE MECHANICAL RESPONSE OF MASONRY
    4. FAILURES IN MASONRY
    5. COMPRESSIVE STRENGTH OF MASONRY
    6. TENSILE STRENGTH OF MASONRY
    7. COMBINED COMPRESSION AND SHEAR STRENGTH OF MASONRY
    8. OUT OF PLANE BEHAVIOUR
    9. CONCLUSION
    10. REFERENCES
    11. ADDITIONAL READING
    12. KEY TERMS AND DEFINITIONS
  7. Chapter 2: Micro-Modeling Options for Masonry
    1. ABSTRACT
    2. INTRODUCTION
    3. CHALLENGES FOR MODELLING MASONRY
    4. DESIRABLE FEATURES FOR THE SELECTION OF THE APPROPRIATE MODELLING APPROACH
    5. STRATEGIES FOR MODELLING MASONRY
    6. ANALYSIS OF MASONRY STRUCTURES WITH INTERFACE ELEMENTS
    7. COMPARATIVE STUDIES
    8. DISCUSSION OF THE APPROPRIATE MODEL TO USE FOR SIMULATING THE MECHANICAL BEHAVIOUR OF MASONRY
    9. CONCLUSION
    10. REFERENCES
    11. ADDITIONAL READING
    12. KEY TERMS AND DEFINITIONS
  8. Chapter 3: The Basis for Masonry Analysis with UDEC and 3DEC
    1. ABSTRACT
    2. INTRODUCTION
    3. THE EVOLUTION OF UDEC AND 3DEC
    4. FUNDAMENTAL ASSUMPTIONS AND MODELING FEATURES
    5. MASONRY APPLICATION ISSUES
    6. APPLICATION EXAMPLES
    7. CONCLUSION
    8. REFERENCES
  9. Chapter 4: The DDA Method
    1. ABSTRACT
    2. INTRODUCTION
    3. THE ELEMENTS
    4. THE CONTACTS
    5. THE EQUATIONS OF MOTION
    6. TIME INTEGRATION
    7. APPLICATIONS
    8. ACKNOWLEDGMENT
    9. REFERENCES
    10. KEY TERMS AND DEFINITIONS
  10. Chapter 5: The Contact Dynamics Method
    1. ABSTRACT
    2. INTRODUCTION
    3. MODELLING WITH RIGID ELEMENTS
    4. MODELLING WITH DEFORMABLE ELEMENTS
    5. APPLICATIONS
    6. ACKNOWLEDGMENT
    7. REFERENCES
    8. KEY TERMS AND DEFINITIONS
  11. Chapter 6: Introduction to the Combined Finite-Discrete Element Method
    1. ABSTRACT
    2. INTRODUCTION
    3. BASIC CHARACTERISTICS OF THE MECHANICAL MODEL
    4. CONTACT DETECTION ALGORITHM
    5. CONTACT INTERACTION ALGORITHMS
    6. DEFORMABILITY OF ELEMENTS
    7. FRACTURE AND FRAGMENTATION ALGORITHMS
    8. TIME INTEGRATION
    9. PARALLELIZATION
    10. EXAMPLES FOR COMBINED FINITE-DISCRETE ELEMENT SIMULATIONS
    11. COMPARATIVE DISCUSSION
    12. CONCLUSION
    13. REFERENCES
    14. KEY TERMS AND DEFINITIONS
  12. Chapter 7: Discrete Element Particle Modelling of Stone Masonry
    1. ABSTRACT
    2. INTRODUCTION
    3. PARTICLE MODELS FOR MASONRY
    4. FORMULATION
    5. CASE STUDIES
    6. CONCLUSION
    7. REFERENCES
  13. Chapter 8: Numerical Modelling of Masonry Dams Using the Discrete Element Method
    1. ABSTRACT
    2. INTRODUCTION
    3. THE HISTORY OF MASONRY DAMS
    4. THE BEHAVIOUR OF EXISTING MASONRY DAMS
    5. NUMERICAL MODELLING OF MASONRY DAMS USING THE DISCRETE ELEMENT METHOD
    6. NUMERICAL MODELLING OF REAL MASONRY DAMS USING THE DISCRETE ELEMENT METHOD
    7. CONCLUSION
    8. REFERENCES
  14. Chapter 9: Discrete Element Modeling of Masonry-Infilled Frames
    1. ABSTRACT
    2. INTRODUCTION
    3. MECHANICAL BEHAVIOR OF MASONRY-INFILLED FRAMES
    4. NUMERICAL MODELING STRATEGIES FOR MASONRY-INFILLED FRAMES
    5. DISCRETE/DISTINCT ELEMENT METHOD
    6. PROCEDURE USED FOR MODELLING MASONRY INFILL WALL PANELS
    7. DEM MODELING ASPECTS OF MASONRY-INFILLED STEEL FRAMES
    8. INELASTIC PARAMETERS AND CONSTITUTIVE CRITERIA
    9. DEM STUDIES ON MASONRY-INFILLED FRAMES
    10. CONCLUSION
    11. REFERENCES
    12. ADDITIONAL READING
    13. KEY TERMS AND DEFINITIONS
    14. APPENDIX: LIST OF SYMBOLS AND ACRONYMS
  15. Chapter 10: Vulnerability Assessment of Damaged Classical Multidrum Columns
    1. ABSTRACT
    2. INTRODUCTION
    3. PERFORMANCE-BASED RELIABILITY ASSESSMENT OF CLASSICAL MONUMENTS
    4. GENERATION OF SYNTHETIC, HAZARD–CONSISTENT GROUND MOTIONS
    5. FRAGILITY ANALYSIS
    6. NUMERICAL RESULTS
    7. RESIDUAL DISPLACEMENTS AND DAMAGE BUILD-UP
    8. CONCLUSION
    9. REFERENCES
  16. Chapter 11: Numerical Study of Discrete Masonry Structures under Static and Dynamic Loading
    1. ABSTRACT
    2. INTRODUCTION
    3. BACKGROUND
    4. MAIN FOCUS OF THE CHAPTER
    5. FUTURE RESEARCH DIRECTIONS
    6. CONCLUSION
    7. REFERENCES
  17. Chapter 12: Validation of the Discrete Element Method for the Limit Stability Analysis of Masonry Arches
    1. ABSTRACT
    2. INTRODUCTION
    3. BACKGROUND
    4. LATER DEVELOPMENTS AND THE DISCRETE ELEMENT METHOD
    5. MASONRY ARCHES UNDER GRAVITY LOADING
    6. VALIDATION OF DEM RESULTS
    7. MASONRY ARCHES UNDER GRAVITY AND LATERAL LOADING
    8. STABILITY ANALYSIS OF THE TUNNEL-ENTRANCE TO THE STADIUM OF ANCIENT NEMEA USING DEM
    9. FUTURE RESEARCH DIRECTIONS
    10. CONCLUSION
    11. ACKNOWLEDGMENT
    12. REFERENCES
  18. Chapter 13: Application of DEM to Historic Masonries, Two Case-Studies in Portugal and Italy
    1. ABSTRACT
    2. INTRODUCTION
    3. THE DISCRETE ELEMENT METHOD, BASIC PRINCIPLES AND APPLICATIONS TO THE STRUCTURAL ANALYSIS OF MASONRY STRUCTURES
    4. SOLUTION ALGORITHM
    5. “ÁGUAS LIVRES” AQUEDUCT IN LISBON
    6. DISCUSSION OF RESULTS
    7. TRANSVERSE MODELS
    8. MULTI-LEAVES ARCH-TYMPANA OF SAN FEDELE IN COMO
    9. CONCLUSION
    10. REFERENCES
  19. Chapter 14: FEM/DEM Approach for the Analysis of Masonry Arch Bridges
    1. ABSTRACT
    2. INTRODUCTION
    3. SCIENTIFIC BACKGROUND
    4. FEM/DEM BASIC ASSUMPTIONS FOR MASONRY ARCH BRIDGES
    5. PRESTWOOD BRIDGE
    6. VENICE TRANS-LAGOON BRIDGE
    7. CONCLUSION
    8. REFERENCES
    9. KEY TERMS AND DEFINITIONS
  20. Chapter 15: Discrete Finite Element Method for Analysis of Masonry Structures
    1. ABSTRACT
    2. INTRODUCTION
    3. MODELING OF MASONRY STRUCTURES DISCONTINUITIES
    4. DISCRETE FINITE ELEMENT METHOD (DFEM)
    5. NUMERICAL RESULTS AND DISCUSSIONS
    6. STABILITY OF ONE BLOCK ON AN INCLINE
    7. CONCLUSION
    8. ACKNOWLEDGMENT
    9. REFERENCES
    10. KEY TERMS AND DEFINITIONS
  21. Chapter 16: A Semi-Discrete Approach for the Numerical Simulation of Freestanding Blocks
    1. ABSTRACT
    2. INTRODUCTION
    3. DYNAMIC BEHAVIOR OF FREESTANDING BLOCKS
    4. SEMI-DISCRETE MODEL
    5. VALIDATION
    6. NUMERICAL SIMULATIONS OF BLOCKS
    7. CONCLUSION
    8. REFERENCES
  22. Chapter 17: Application of Discrete Finite Element Method for Analysis of Unreinforced Masonry Structures
    1. ABSTRACT
    2. INTRODUCTION
    3. NUMERIC ANALYSIS
    4. FAULT-STRUCTURE INTERACTION
    5. RECOMMENDED FUTURE STUDIES
    6. CONCLUSION
    7. ACKNOWLEDGMENT
    8. REFERENCES
    9. KEY TERMS AND DEFINITIONS
  23. Compilation of References
  24. About the Contributors