Ed Terrell’s paper entitled, An Effective and Accurate Semi-Implicit Time Integration Scheme for Dynamics in Nearly- and Fully-Incompressible Hyperelastic Solids, which is co-authored by Marshall Davey and David Wells, has been accepted for publication in the Journal of Computational Physics.
This paper develops and analyzes new semi-implicit time integration schemes for simulating large dynamic deformations in nearly- and fully-incompressible hyperelastic solids. These methods are designed to avoid the severe time step restrictions imposed by fast bulk waves while remaining more efficient than fully implicit approaches. The work proves and verifies second-order accuracy, characterizes the stability of the proposed schemes, and establishes the new FEBDF2 method as an effective integrator whose time step restriction depends on the shear wave speed rather than the bulk wave speed.
Congratulations, Ed!