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Cellular instabilities analyzed by multi-scale Fourier series: A review
On estimation of internal state by an optimal control approach for elastoplastic material
1. | GeM, UMR CNRS 6183,1 rue de la Noe, F-44321 Nantes, EdF-CEA-ENSTA UMR CNRS 8193, 1 avenue General Leclerc, F- 92141 Clamart, France |
References:
[1] |
P. Ballard and A. Constantinescu, On the inversion of subsurface residual stresses from surface stress measurements, J. Mech. Phys. Solids, 42 (1994), 1767-1787.
doi: 10.1016/0022-5096(94)90071-X. |
[2] |
H. D. Bui, Introduction Aux Problèmes Inverses en Mécanique des Matériaux, Eyrolles, Paris, 1993. |
[3] |
B. Halphen, Stress accommodation in elastic perfectly plastic and viscoplastic structures, Mech. Res. Comm., 2 (1975), 273-278.
doi: 10.1016/0093-6413(75)90057-9. |
[4] |
J. L. Lions, Contrôle Optimal de Systèmes Gouvernés par des Équations Aux Dérivées Partielles, Avant propos de P. Lelong Dunod, Paris; Gauthier-Villars, Paris, 1968. |
[5] |
Q. S. Nguyen, Bifurcation et stabilité des systèmes irréversibles obéissant au principe de dissipation maximale, J. Mécanique Théorique et appliquée, 3 (1984), 41-61. |
[6] |
M. Peigney and C. Stolz, An optimal control approach to the analysis of inelastic structures under cyclic loading, J. Mech. Phys. Solids, 51 (2003), 575-605.
doi: 10.1016/S0022-5096(02)00104-7. |
[7] |
M. Peigney and C. Stolz, Approche par contrôle optimal des structures élastoviscoplastique sous chargement cyclique, C. R. Mécanique, 339 (2001), 643-648. |
[8] |
C. Stolz, Optimal control approach in non linear mechanics, C. R. Mécanique, 336 (2008), 238-244. |
[9] |
C. Stolz, Some applications of optimal control to inverse problems in elastoplasticity, J. of Mechanics of Materials and Structures, 20 (2015), 411-432.
doi: 10.2140/jomms.2015.10.411. |
show all references
References:
[1] |
P. Ballard and A. Constantinescu, On the inversion of subsurface residual stresses from surface stress measurements, J. Mech. Phys. Solids, 42 (1994), 1767-1787.
doi: 10.1016/0022-5096(94)90071-X. |
[2] |
H. D. Bui, Introduction Aux Problèmes Inverses en Mécanique des Matériaux, Eyrolles, Paris, 1993. |
[3] |
B. Halphen, Stress accommodation in elastic perfectly plastic and viscoplastic structures, Mech. Res. Comm., 2 (1975), 273-278.
doi: 10.1016/0093-6413(75)90057-9. |
[4] |
J. L. Lions, Contrôle Optimal de Systèmes Gouvernés par des Équations Aux Dérivées Partielles, Avant propos de P. Lelong Dunod, Paris; Gauthier-Villars, Paris, 1968. |
[5] |
Q. S. Nguyen, Bifurcation et stabilité des systèmes irréversibles obéissant au principe de dissipation maximale, J. Mécanique Théorique et appliquée, 3 (1984), 41-61. |
[6] |
M. Peigney and C. Stolz, An optimal control approach to the analysis of inelastic structures under cyclic loading, J. Mech. Phys. Solids, 51 (2003), 575-605.
doi: 10.1016/S0022-5096(02)00104-7. |
[7] |
M. Peigney and C. Stolz, Approche par contrôle optimal des structures élastoviscoplastique sous chargement cyclique, C. R. Mécanique, 339 (2001), 643-648. |
[8] |
C. Stolz, Optimal control approach in non linear mechanics, C. R. Mécanique, 336 (2008), 238-244. |
[9] |
C. Stolz, Some applications of optimal control to inverse problems in elastoplasticity, J. of Mechanics of Materials and Structures, 20 (2015), 411-432.
doi: 10.2140/jomms.2015.10.411. |
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