scholarly journals Dual finite-element analysis using second-order cone programming for structures including contact

2020 ◽  
Vol 208 ◽  
pp. 109892 ◽  
Author(s):  
Chadi El Boustani ◽  
Jeremy Bleyer ◽  
Mathieu Arquier ◽  
Mohammed-Khalil Ferradi ◽  
Karam Sab
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Second Order ◽  
Element Analysis ◽  
Cone Programming ◽  
Second Order Cone Programming ◽  
Second Order Cone

THE STABILITY OF SLOPE USING CELL – BASED SMOOTHED FINITE ELEMENT METHOD AND SECOND ORDER CONE PROGRAMMING

2016 ◽  
Vol 3 (2) ◽  
Author(s):  
Hai Le Nguyen ◽  
Hai Than Nguyen ◽  
Thien Vo Minh
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Optimization Problem ◽  
Second Order ◽  
Cone Programming ◽  
Second Order Cone Programming ◽  
Second Order Cone ◽  
Primal Dual ◽  
Smoothed Finite Element Method ◽  
Element Method

In this paper, the numerical limit analysis procedure, associating the cell-based smoothed finite element method (CS-FEM) with the (second-order cone) primal-dual interior point algorithm, for cohesive-frictional materials problem is described. The soil is modeled as a cohesionless frictional Mohr-Coulomb material with the associated flow rule. Kinematically admissible velocity fields are established using CS-FEM. The underlying non-smooth optimization problem is formulated as a problem of minimizing a sum of Euclidean norms, ensuring that the resulting optimization problem can be solved by an efficient second order cone programming algorithm. The core purpose of this study is to evaluate collapse loads as well as failure mechanisms of footings on slope which will be obtained directly from solving the optimization problems. In this study, the properties of soil and the width of footing and distance from footing to the edge of the slope are considered. Several numerical examples of slope stability are given to show the performance of the proposed method.

COMPUTATION OF LIMIT LOAD USING EDGE-BASED SMOOTHED FINITE ELEMENT METHOD AND SECOND-ORDER CONE PROGRAMMING

2013 ◽  
Vol 10 (01) ◽  
pp. 1340004 ◽  
Author(s):  
C. V. LE ◽  
H. NGUYEN-XUAN ◽  
H. ASKES ◽  
T. RABCZUK ◽  
T. NGUYEN-THOI
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Second Order ◽  
Cone Programming ◽  
Second Order Cone Programming ◽  
Second Order Cone ◽  
Strain Smoothing ◽  
Smoothed Finite Element Method ◽  
Edge Based ◽  
Element Method

This paper presents a novel numerical procedure for limit analysis of plane problems using edge-based smoothed finite element method (ES-FEM) in combination with second-order cone programming. In the ES-FEM, the discrete weak form is obtained based on the strain smoothing technique over smoothing domains associated with the edges of the elements. Using constant smoothing functions, the incompressibility condition only needs to be enforced at one point in each smoothing domain, and only one Gaussian point is required, ensuring that the size of the resulting optimization problem is kept to a minimum. The discretization problem is transformed into the form of a second-order cone programming problem which can be solved using highly efficient interior-point solvers. Finally, the efficacy of the procedure is demonstrated by applying it to various benchmark plane stress and strain problems.

A smoothed finite element method using second-order cone programming

2020 ◽  
Vol 123 ◽  
pp. 103547 ◽  
Author(s):  
Jingjing Meng ◽  
Xue Zhang ◽  
Jinsong Huang ◽  
Hongxiang Tang ◽  
Hans Mattsson ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Second Order ◽  
Cone Programming ◽  
Second Order Cone Programming ◽  
Second Order Cone ◽  
Smoothed Finite Element Method ◽  
Element Method
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