A second-order Godunov algorithm for two-dimensional solid mechanics


Journal Article

The second-order Godunov method is extended to dynamic wave propagation in two-dimensional solids undergoing nonlinear finite deformation. It is shown that this explicit method is linearly stable for timesteps satisfying the standard CFL condition, does not support the development of hourglass modes, and handles non-reflecting boundaries very naturally. The computational cost is essentially one evaluation of the kinetic equation of state per cell and timestep, the same as explicit finite element methods employing reduced quadrature. © 1994 Springer-Verlag.

Full Text

Duke Authors

Cited Authors

  • Trangenstein, JA

Published Date

  • September 1, 1994

Published In

Volume / Issue

  • 13 / 5

Start / End Page

  • 343 - 359

Electronic International Standard Serial Number (EISSN)

  • 1432-0924

International Standard Serial Number (ISSN)

  • 0178-7675

Digital Object Identifier (DOI)

  • 10.1007/BF00512588

Citation Source

  • Scopus