Reliable computation and local mesh adaptivity in limit analysis

Sysala, Stanislav; Haslinger, Jaroslav; Repin, Sergey

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 149-158

Abstract

top
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.

How to cite

top

Sysala, Stanislav, Haslinger, Jaroslav, and Repin, Sergey. "Reliable computation and local mesh adaptivity in limit analysis." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2019. 149-158. <http://eudml.org/doc/294901>.

@inProceedings{Sysala2019,
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.},
author = {Sysala, Stanislav, Haslinger, Jaroslav, Repin, Sergey},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {limit analysis; von Mises yield criterion; penalization; finite element method; Newton-like method; local mesh adaptivity},
location = {Prague},
pages = {149-158},
publisher = {Institute of Mathematics CAS},
title = {Reliable computation and local mesh adaptivity in limit analysis},
url = {http://eudml.org/doc/294901},
year = {2019},
}

TY - CLSWK
AU - Sysala, Stanislav
AU - Haslinger, Jaroslav
AU - Repin, Sergey
TI - Reliable computation and local mesh adaptivity in limit analysis
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2019
CY - Prague
PB - Institute of Mathematics CAS
SP - 149
EP - 158
AB - 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.
KW - limit analysis; von Mises yield criterion; penalization; finite element method; Newton-like method; local mesh adaptivity
UR - http://eudml.org/doc/294901
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.