Summary

This section presents a summary of the concepts.

  • Abaqus/Explicit uses a central difference rule to integrate the kinematics explicitly through time.

  • The explicit method requires many small time increments. Since there are no simultaneous equations to solve, each increment is inexpensive.

  • The explicit method has great cost savings over the implicit method as the model size increases.

  • The stability limit is the maximum time increment that can be used to advance the kinematic state and still remain accurate.

  • Abaqus/Explicit automatically controls the time increment size throughout the analysis to maintain stability.

  • As the material stiffness increases, the stability limit decreases; as the material density increases, the stability limit increases.

  • For a mesh with a single material, the stability limit is roughly proportional to the smallest element dimension.

  • Generally, mass proportional damping is used in Abaqus/Explicit to damp low-frequency oscillations, and stiffness proportional damping is used to damp high-frequency oscillations.