Second-order Godunov algorithm for two-dimensional solid mechanics
Publication
, Journal Article
Trangenstein John, A
Published in: Computational Mechanics
1994
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.
Duke Scholars
Published In
Computational Mechanics
Publication Date
1994
Volume
13
Issue
5
Start / End Page
343 / 359
Related Subject Headings
- Applied Mathematics
- 4017 Mechanical engineering
- 4005 Civil engineering
- 0915 Interdisciplinary Engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering
Citation
APA
Chicago
ICMJE
MLA
NLM
Trangenstein John, A. (1994). Second-order Godunov algorithm for two-dimensional solid mechanics. Computational Mechanics, 13(5), 343–359.
Trangenstein John, A. “Second-order Godunov algorithm for two-dimensional solid mechanics.” Computational Mechanics 13, no. 5 (1994): 343–59.
Trangenstein John A. Second-order Godunov algorithm for two-dimensional solid mechanics. Computational Mechanics. 1994;13(5):343–59.
Trangenstein John, A. “Second-order Godunov algorithm for two-dimensional solid mechanics.” Computational Mechanics, vol. 13, no. 5, 1994, pp. 343–59.
Trangenstein John A. Second-order Godunov algorithm for two-dimensional solid mechanics. Computational Mechanics. 1994;13(5):343–359.
Published In
Computational Mechanics
Publication Date
1994
Volume
13
Issue
5
Start / End Page
343 / 359
Related Subject Headings
- Applied Mathematics
- 4017 Mechanical engineering
- 4005 Civil engineering
- 0915 Interdisciplinary Engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering