S. Turgeman et B. Guessab, NUMERICAL APPROACH TO EXTREME LOADINGS BY AN OPTIMIZATION WITHOUT CONSTRAINTS, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 321(11), 1995, pp. 437-442
In the theoretical framework of the yield design theory, one takes int
o consideration the case of materials whose field of resistance on the
one hand contains within it it the stress tensor zero, and on the oth
er is defined with the help of functions which are positively homogene
ous. By integrating these properties into the classical numerical form
ulation of ultimate loading calculations made using the stress method,
a problem of optimization without conditions is obtained.