Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
512782 | Engineering Analysis with Boundary Elements | 2014 | 16 Pages |
Abstract
Node-based and edge-based smoothed FEM (NS-FEM and ES-FEM), and α-FEM are extended to solve nonlinear problems. The nonlinear strain field is smoothed using the gradient smoothing. The continuous scalar scaling factor α enables the α-FEM continuously transforming from overestimated model to underestimated model. Numerical examples reveal that ES-FEM is a robust and stable method with high accuracy and computational efficiency for nonlinear problems. The exact solution in strain energy of force driven problems can be bounded by NS-FEM and FEM. The α-FEM can also be “tuned” to find nearly exact solution to nonlinear mechanics problems of solids of complicated geometry.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Zhi-Qian Zhang, G.R. Liu,