Reliable computation and local mesh adaptivity in limit analysis
Abstract
The contribution is devoted to computations of the limit load for
a perfectly plastic model with the von Mises yield criterion. The limit factor
of a prescribed load is defined by a specific variational problem, the so-called
limit analysis problem. This problem is solved in terms of deformation fields
by a penalization, the finite element and the semismooth Newton methods.
From the numerical solution, we derive a guaranteed upper bound of the limit
factor. To achieve more accurate results, a local mesh adaptivity is used.
Main Authors
Format
Conferences
Conference paper
Published
2019
Subjects
Publication in research information system
Publisher
Czech Academy of Sciences
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201907243672Use this for linking
Parent publication ISBN
978-80-85823-69-1
Review status
Peer reviewed
DOI
https://doi.org/10.21136/panm.2018.16
Conference
Programs and Algorithms of Numerical Mathematics
Language
English
Is part of publication
PANM 19: Proceedings of 19th conference, Programs and Algorithms of Numerical Mathematics
Citation
- Sysala, S., Haslinger, J., & Repin, S. (2019). Reliable computation and local mesh adaptivity in limit analysis. In J. Chleboun, P. Kus, P. Prikryl, M. Rozlozník, K. Segeth, J. Sístek, & T. Vejchodský (Eds.), PANM 19: Proceedings of 19th conference, Programs and Algorithms of Numerical Mathematics (pp. 149-158). Czech Academy of Sciences. https://doi.org/10.21136/panm.2018.16
License
Copyright© Institute of Mathematics CAS, 2019