Large Problems in Numerical Limit Analysis: A Decomposition Approach
作者： F. Pastor , Z. Kammoun , E. Loute , J. Pastor , H. Smaoui
DOI: 10.1007/978-1-4020-9634-1_2
关键词: Quadratic equation 、 Regular polygon 、 Upper and lower bounds 、 Limit analysis 、 Solver 、 Discrete mathematics 、 Interior point method 、 Decomposition (computer science) 、 Mathematics 、 Mathematical analysis 、 Bar (music)
摘要: A decomposition approach of the kinematical method limit analysis is first presented. It based on a mixed variational and convex interior point solver, using linear or quadratic discontinuous velocity fields. Exposed in plane strain, this appears rapidly convergent, as verified Tresca compressed bar problem. Then applied to classical problem stability factor vertical slope: upper bound lowered from 3.882 3.7778. This value be compared lower just increased 3.772 3.7752 by same solver extension statical with infinite elements.
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sci-hub.st 参考文章(25)
Jean Salençon, Calcul à la rupture et analyse limite COURS DE CALCUL DES STRUCTURES ANELASTIQUES. ,(1983)
Etienne Loute, Malorie Trillat, Joseph Pastor, Philippe Thoré, Franck Pastor, Convex optimization and stress-based lower/upper bound methods for limit analysis of porous polymer materials 9th European mechanics of materials conference. ,(2008)
Jean Salençon, Jean Mandel, THEORIE DE LA PLASTICITE POUR LES APPLICATIONS A LA MECANIQUE DES SOLS. Eyrolles. ,(1974)
Y. Saad, Iterative Methods for Sparse Linear Systems ,(1996)
John Lysmer, LIMIT ANALYSIS OF PLANE PROBLEMS IN SOIL MECHANICS Journal of the Soil Mechanics and Foundations Division. ,vol. 96, pp. 1311- 1334 ,(1970) , 10.1061/JSFEAQ.0001441
Edmund Christiansen, Limit analysis of collapse states Handbook of Numerical Analysis. ,vol. 4, pp. 193- 312 ,(1996) , 10.1016/S1570-8659(96)80004-4
Joseph Pastor, The-Hung Thai, Pascal Francescato, Interior point optimization and limit analysis: an application Communications in Numerical Methods in Engineering. ,vol. 19, pp. 779- 785 ,(2003) , 10.1002/CNM.619
F. Pastor, Ph. Thoré, E. Loute, J. Pastor, M. Trillat, Convex optimization and limit analysis: Application to Gurson and porous Drucker-Prager materials Engineering Fracture Mechanics. ,vol. 75, pp. 1367- 1383 ,(2008) , 10.1016/J.ENGFRACMECH.2007.07.008
A. V. Lyamin, S. W. Sloan, Upper bound limit analysis using linear finite elements and non-linear programming International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 26, pp. 181- 216 ,(2002) , 10.1002/NAG.198