Contents

• • List of Figures
  
  
• INTRODUCTION
• METHODOLOGY
  • Review of the Cohesive/Volumetric Finite Element Scheme
    • Formulation
    • Finite Element Implementation
    • Stability and Mesh Size
  • Nodal Time Step Subcycling
  • Dynamic Cohesive Node/Element Insertion
    • Geometry and Database Management
    • Cohesive Element Stability and System Equilibrium
    • Insertion Region Selection
  • Parallel Implementation using Charm++
    • Mesh Partitioning
    • Computational Efficiency
    • Structure of Standard Charm++ FEM Framework
    • Parallel Structure of the Dynamic Insertion Code
  
  
• 1-D ANALYSIS AND RESULTS
  • Problem Description
  • Multi-Time Step Nodal Subcycling Results
  • Dynamic Cohesive Node Insertion Results
    • Blind Cohesive Node Insertion Results
    • Damping of Blind Insertion
    • Dynamic Insertion with Pre-Stretch
    • Combined Insertion with Subcycling
  • Conclusions
  
  
• 2-D ANALYSIS AND RESULTS
  • Multi-Time Step Subcycling Results
    • Equal Subcycled to Non-Subcycled Region Ratio of 1:1
    • Unequal Subcycled to Non-Subcycled Region Ratio
    • Multi-Time Step Nodal Subcycling Observations
  • Dynamic Cohesive Element Insertion
    • Insertion Analysis
    • Insertion Results
  • Parallelization Using Charm++
  • Conclusions
  
  
• CONCLUSIONS AND FUTURE WORK
  • Conclusions
  • Recommendations for Future Research
  • Bibliography