Geodesic
Shape optimization of materially non-linear bodies in contact
Applications of Mathematics, Tome 42 (1997) no. 3, pp. 171-193

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Optimal shape design problem for a deformable body in contact with a rigid foundation is studied. The body is made from material obeying a nonlinear Hooke’s law. We study the existence of an optimal shape as well as its approximation with the finite element method. Practical realization with nonlinear programming is discussed. A numerical example is included.
DOI : 10.1023/A:1022465504489
Classification : 49J20, 49K20, 49Q10, 73C50, 73T05, 73k40, 74P99
Keywords: shape optimization; sensitivity analysis; stress-strain relations; contact 
@article{10_1023_A_1022465504489,
     author = {Haslinger, J. and M\"akinen, R. A. E.},
     title = {Shape optimization of materially non-linear bodies in contact},
     journal = {Applications of Mathematics},
     pages = {171--193},
     publisher = {mathdoc},
     volume = {42},
     number = {3},
     year = {1997},
     doi = {10.1023/A:1022465504489},
     mrnumber = {1441629},
     zbl = {0902.49024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1023/A:1022465504489/}
}
TY  - JOUR
AU  - Haslinger, J.
AU  - Mäkinen, R. A. E.
TI  - Shape optimization of materially non-linear bodies in contact
JO  - Applications of Mathematics
PY  - 1997
SP  - 171
EP  - 193
VL  - 42
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1023/A:1022465504489/
DO  - 10.1023/A:1022465504489
LA  - en
ID  - 10_1023_A_1022465504489
ER  - 
%0 Journal Article
%A Haslinger, J.
%A Mäkinen, R. A. E.
%T Shape optimization of materially non-linear bodies in contact
%J Applications of Mathematics
%D 1997
%P 171-193
%V 42
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1023/A:1022465504489/
%R 10.1023/A:1022465504489
%G en
%F 10_1023_A_1022465504489
Haslinger, J.; Mäkinen, R. A. E. Shape optimization of materially non-linear bodies in contact. Applications of Mathematics, Tome 42 (1997) no. 3, pp. 171-193. doi: 10.1023/A:1022465504489

Cité par Sources :