Stress-based upper-bound method and convex optimization: case of the Gurson material
(2006) Comptes rendus de l’Académie des Siences. Mécanique — Vol. 334, n° 4, p. 213-219 (2006)
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- Abstract
- A nonlinear interior point method associated with the kinematic theorem of limit analysis is proposed. Associating these two tools enables one to determine an upper bound of the limit loading of a Gurson material structure from the knowledge of the sole yield criterion. We present the main features of the interior point algorithm and an original method providing a rigorous kinematic bound from a stress formulation of the problem. This method is tested by solving in plane strain the problem of a Gurson infinite bar compressed between rough rigid plates.
- Affiliations
Université de Savoie Laboratoire “Optimisation de la conception et ingénierie de lʼenvironnement ”(LOCIE) Université de Savoie Laboratoire “Optimisation de la conception et ingénierie de lʼenvironnement ”(LOCIE)
Citations
Pastor, F., Trillat, M., Pastor, J., & Loute, E. (2006). Stress-based upper-bound method and convex optimization: case of the Gurson material. Comptes rendus de l’Académie des Siences. Mécanique, 334(4), 213-219. https://doi.org/10.1016/j.crme.2006.03.002 (Original work published 2006)