Geodesic
Regularity of solutions in plasticity. II: Plates
Jarosław L. Bojarski1
1 Institute of Fundamental Technological Research Polish Academy of Sciences Świętokrzyska 21 00-049 Warszawa, Poland
Applicationes Mathematicae, Tome 31 (2004) no. 1, pp. 31-54

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The aim of this paper is to study the problem of regularity of displacement solutions in Hencky plasticity. We consider a plate made of a non-homogeneous material whose elastic-plastic properties change discontinuously. We prove that the displacement solutions belong to the space $W^{2,1}({ \Omega })$ if the stress solution is continuous and belongs to the interior of the set of admissible stresses, at each point. The part of the functional which describes the work of boundary forces is relaxed.
DOI : 10.4064/am31-1-4
Keywords: paper study problem regularity displacement solutions hencky plasticity consider plate made non homogeneous material whose elastic plastic properties change discontinuously prove displacement solutions belong space omega stress solution continuous belongs interior set admissible stresses each point part functional which describes work boundary forces relaxed

Jarosław L. Bojarski 1

1 Institute of Fundamental Technological Research Polish Academy of Sciences Świętokrzyska 21 00-049 Warszawa, Poland 
@article{10_4064_am31_1_4,
     author = {Jaros{\l}aw L. Bojarski},
     title = {Regularity of solutions in plasticity.
 {II:} {Plates}},
     journal = {Applicationes Mathematicae},
     pages = {31--54},
     publisher = {mathdoc},
     volume = {31},
     number = {1},
     year = {2004},
     doi = {10.4064/am31-1-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am31-1-4/}
}
TY  - JOUR
AU  - Jarosław L. Bojarski
TI  - Regularity of solutions in plasticity.
 II: Plates
JO  - Applicationes Mathematicae
PY  - 2004
SP  - 31
EP  - 54
VL  - 31
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am31-1-4/
DO  - 10.4064/am31-1-4
LA  - en
ID  - 10_4064_am31_1_4
ER  - 
%0 Journal Article
%A Jarosław L. Bojarski
%T Regularity of solutions in plasticity.
 II: Plates
%J Applicationes Mathematicae
%D 2004
%P 31-54
%V 31
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am31-1-4/
%R 10.4064/am31-1-4
%G en
%F 10_4064_am31_1_4
Jarosław L. Bojarski. Regularity of solutions in plasticity.
 II: Plates. Applicationes Mathematicae, Tome 31 (2004) no. 1, pp. 31-54. doi: 10.4064/am31-1-4

Cité par Sources :