Convex optimization and limit analysis: Application to Gurson and porous Drucker-Prager materials Export

@article{citeulike:2254342, abstract = {First, we summarize our convex optimization method to solve the static approach of limit analysis. Then, we present the main features of a quadratic extension of a recently proposed mixed finite element method of the kinematic approach. Both methods are applied to obtain precise solutions to a forming problem with Gurson and Drucker-Prager materials. Finally, in order to analyze the criterion of "Porous Drucker-Prager" materials, the Gurson micro-macro model involving a Drucker-Prager matrix containing cylindrical cavities is investigated. Comparing previous results shows, among other things, a similarity in the compression case not always observed for the "Porous von Mises" material between cylindrical and spherical cases.}, author = {Pastor, F. and Thore, Ph and Loute, E. and Pastor, J. and Trillat, M.}, citeulike-article-id = {2254342}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.engfracmech.2007.07.008}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6V2R-4P940RD-2/2/226bee9a98df777e3404b7f07abeceed}, doi = {10.1016/j.engfracmech.2007.07.008}, journal = {Engineering Fracture Mechanics}, keywords = {gurson-type-identification}, month = {April}, number = {6}, pages = {1367--1383}, posted-at = {2008-01-18 22:37:26}, priority = {2}, title = {Convex optimization and limit analysis: Application to Gurson and porous Drucker-Prager materials}, url = {http://dx.doi.org/10.1016/j.engfracmech.2007.07.008}, volume = {75}, year = {2008} }

TY - JOUR ID - citeulike:2254342 L3 - citeulike-article-id:2254342 N2 - First, we summarize our convex optimization method to solve the static approach of limit analysis. Then, we present the main features of a quadratic extension of a recently proposed mixed finite element method of the kinematic approach. Both methods are applied to obtain precise solutions to a forming problem with Gurson and Drucker-Prager materials. Finally, in order to analyze the criterion of "Porous Drucker-Prager" materials, the Gurson micro-macro model involving a Drucker-Prager matrix containing cylindrical cavities is investigated. Comparing previous results shows, among other things, a similarity in the compression case not always observed for the "Porous von Mises" material between cylindrical and spherical cases. IS - 6 JF - Engineering Fracture Mechanics EP - 1383 TI - Convex optimization and limit analysis: Application to Gurson and porous Drucker-Prager materials VL - 75 SP - 1367 KW - gurson-type-identification AU - Pastor, F AU - Thore, Ph AU - Loute, E AU - Pastor, J AU - Trillat, M PY - 2008/04// UR - http://dx.doi.org/10.1016/j.engfracmech.2007.07.008 ER -