Parallel computing techniques are employed to investigate wave propagation in three-dimensional functionally graded media. In order to obtain effective and efficient parallel finite element mesh representation, a topology-based data structure (TopS) and a parallel framework for unstructured mesh (ParFUM) are integrated. The parallel computing framework is verified by solving a cantilever example, while the Rayleigh wave speed in functionally graded media is investigated by comparing the results with the homogeneous case. The computational results illustrate that when the elastic modulus of a graded media increase along the depth direction, the Rayleigh wave speed of a graded media is higher than the speed of a homogeneous media with the same material properties on the surface.
Bibliographical noteFunding Information:
The authors gratefully acknowledge the support from the Computational Science and Engineering (CSE) program; the National Center for Supercomputing Applications (NCSA) at the University of Illinois at Urbana-Champaign. In addition, the authors thank Laxmikant V. Kale, Celso L. Mendes, Arron Becker, and Issac Dooley for their technical supports to integrate TopS, ParFUM and CHARM++.
All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering