Limit analysis of 3D masonry block structures with non-associative frictional joints using cone programming

2014 ◽  
Vol 143 ◽  
pp. 108-121 ◽  
Author(s):  
F. Portioli ◽  
C. Casapulla ◽  
M. Gilbert ◽  
L. Cascini
Keyword(s):  
Limit Analysis ◽  
Cone Programming ◽  
Frictional Joints ◽  
Block Structures

scholarly journals Elastoplastic and limit analysis of 3D steel assemblies using second-order cone programming and dual finite-elements

2020 ◽  
Vol 221 ◽  
pp. 111041
Author(s):  
Chadi El Boustani ◽  
Jeremy Bleyer ◽  
Mathieu Arquier ◽  
Mohammed-Khalil Ferradi ◽  
Karam Sab
Keyword(s):  
Finite Elements ◽  
Limit Analysis ◽  
Second Order ◽  
Cone Programming ◽  
Second Order Cone Programming ◽  
Second Order Cone

scholarly journals Limit analysis of dry masonry block assemblages with non-associative frictional joints

2020 ◽  
Author(s):  
Nicola A. Nodargi ◽  
Claudio Intrigila ◽  
Paolo Bisegna
Keyword(s):  
Limit Analysis ◽  
Frictional Joints

scholarly journals An r-h Adaptive Kinematic Approach for 3D Limit Analysis

2018 ◽  
Author(s):  
Zhenhao Shi ◽  
James Hambleton
Keyword(s):  
Limit Analysis ◽  
Linear Optimization ◽  
Computational Cost ◽  
Optimization Procedure ◽  
Limit Loads ◽  
Cone Programming ◽  
Second Order Cone ◽  
Low Computational Cost ◽  
Kinematic Approach

This paper explores a pathway for increasing efficiency in numerical 3D limit analysis through r-h adaptivity, wherein nodal positions (r) and element lengths (h) are successively refined. The approach uses an iterative, nested optimization procedure involving three steps: (1) determination of velocities for a fixed mesh of rigid, translational elements (blocks) using second-order cone programming; (2) adaptation of nodal positions using non-linear optimization (r adaptivity); and (3) subdivision of elements based on the magnitude of the velocity jumps (h adaptivity). Examples show that the method can compute reasonably accurate limit loads at relatively low computational cost.

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