Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#287415] of John A. Trangenstein

Papers Published

  1. Garaizar, FX; Trangenstein, J, Adaptive mesh refinement and front-tracking for shear bands in an antiplane shear model, SIAM J. Sci. Comput. (USA), vol. 20 no. 2 (1998), pp. 750-779 [S1064827597319271], [doi]
    (last updated on 2017/12/14)

    We describe a numerical algorithm for the study of shear-band formation and growth in a 2D antiplane shear of granular materials. The algorithm combines front-tracking techniques and adaptive mesh refinement. Tracking provides a more careful evolution of the band when coupled with special techniques to advance the ends of the shear band in the presence of a loss of hyperbolicity. The adaptive mesh refinement allows the computational effort to be concentrated in important areas of the deformation, such as the shear band and the elastic relief wave. The main challenges are the problems related to shear bands that extend across several grid patches and the effects that a nonhyperbolic growth rate of the shear bands has in the refinement process. We give examples of the success of the algorithm for various levels of refinement

    granular flow;granular materials;mesh generation;physics computing;plastic deformation;tracking;
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320