A finite strain method in 2D cylindrical coordinates
Abstract
An Eulerian hyperelastic-plastic algorithm for several materials is presented. The general framework is a second order accurate Lagrange+remap scheme with dimensional splitting. The deviatoric Cauchy stress derives from the equation of state (EOS) suggested by Titarev et al. [6], while the isotropic pressure may be given in arbitrary, tabular or analytical form. The matrix-update of the Almansi strain during the Lagrange step is formulated compatibly with the cell volume change and time-averaged motion of cell edges. Numerical examples are given.
- Publication:
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11th International Conference of Numerical Analysis and Applied Mathematics 2013: ICNAAM 2013
- Pub Date:
- October 2013
- DOI:
- 10.1063/1.4826025
- Bibcode:
- 2013AIPC.1558.2402N