Limit analysis decomposition for parallel processing and finite element mixed method
(2009) Fourth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2008) — Location: University of Liège (26.May.2008)
Files
No attached file found for this publication.
Details
- Authors
- Abstract
- This paper proposes an original decomposition approach to the upper bound method of limit analysis. It is based on a mixed finite element approach and on a convex interior point solver, using linear or quadratic discontinuous velocity fields. Presented in plane strain, this method appears to be rapidly convergent, as verified in the Tresca compressed bar problem in the linear velocity case. Then,using discontinuous quadratic velocity fields,the method is applied to the celebrated problem of the stability factor of a Tresca vertical slope: the upper bound is lowered to 3.7776—value to be compared to the best published lower bound 3.7752—by succeeding in solving a non linear optimization problem with millions of variables and constraints.
- Affiliations
Citations
Pastor, F., & Loute, E. (2009). Limit analysis decomposition for parallel processing and finite element mixed method. Fourth International Conference on Advanced COmputational Methods in ENgineering (ACOMEN 2008), University of Liège.