Variational properties of EPI-convergence, applications to limit analysis problems in mechanics and duality theory

1984 ◽  
pp. 80-104 ◽  
Author(s):  
H. Attouch
Keyword(s):  
Limit Analysis ◽  
Duality Theory

Evaluation of the Current Concrete Design Code on Shear and End Anchorage of Deep Beams by a Limit Analysis Based on Concrete Plasticity

2012 ◽  
Vol 18 (11) ◽  
pp. 1311-1318
Author(s):  
Hosoon Choi ◽  
Sung-Gul Hong ◽  
Young Hak Lee ◽  
Heecheul Kim ◽  
Dae-Jin Kim
Keyword(s):  
Limit Analysis ◽  
Design Code ◽  
Deep Beams

scholarly journals Limit Analysis of Geometrically Hardening Rod Systems using Bilevel Programming

2013 ◽  
Vol 57 ◽  
pp. 89-98 ◽  
Author(s):  
Piotr Aliawdin ◽  
Krystyna Urbańska
Keyword(s):  
Limit Analysis ◽  
Bilevel Programming

scholarly journals A finite difference method for the static limit analysis of masonry domes under seismic loads

Meccanica ◽  
2021 ◽  
Author(s):  
Nicola A. Nodargi ◽  
Paolo Bisegna
Keyword(s):  
Stress State ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Limit Analysis ◽  
Difference Method ◽  
Moment Tensor ◽  
Static Limit ◽  
Shear Response ◽  
Masonry Domes ◽  
Seismic Forces

AbstractThe static limit analysis of axially symmetric masonry domes subject to pseudo-static seismic forces is addressed. The stress state in the dome is represented by the shell stress resultants (normal-force tensor, bending-moment tensor, and shear-force vector) on the dome mid-surface. The classical differential equilibrium equations of shells are resorted to for imposing the equilibrium of the dome. Heyman’s assumptions of infinite compressive and vanishing tensile strength, alongside with cohesive-frictional shear response, are adopted for imposing the admissibility of the stress state. A finite difference method is proposed for the numerical discretization of the problem, based on the use of two staggered rectangular grids in the parameter space generating the dome mid-surface. The resulting discrete static limit analysis problem results to be a second-order cone programming problem, to be effectively solved by available convex optimization softwares. In addition to a convergence analysis, numerical simulations are presented, dealing with the parametric analysis of the collapse capacity under seismic forces of spherical and ogival domes with parameterized geometry. In particular, the influence that the shear response of masonry material and the distribution of horizontal forces along the height of the dome have on the collapse capacity is explored. The obtained results, that are new in the literature, show the computational merit of the proposed method, and quantitatively shed light on the seismic resistance of masonry domes.

SHM of a severely cracked masonry arch bridge in India: Experimental campaign and adaptive NURBS limit analysis numerical investigation

2021 ◽  
Vol 280 ◽  
pp. 122490
Author(s):  
Nicola Grillanda ◽  
Gabriele Milani ◽  
Siddhartha Ghosh ◽  
Bhumik Halani ◽  
Mahesh Varma
Keyword(s):  
Numerical Investigation ◽  
Limit Analysis ◽  
Masonry Arch ◽  
Arch Bridge ◽  
Experimental Campaign ◽  
Masonry Arch Bridge

scholarly journals One-dimensional finite element limit analysis for hydraulic pile extraction

2021 ◽  
Vol 133 ◽  
pp. 104042
Author(s):  
William J.A.P. Beuckelaers ◽  
Kristine Vandenboer ◽  
Jonas Verbraecken ◽  
Stijn François
Keyword(s):  
Finite Element ◽  
Limit Analysis ◽  
One Dimensional ◽  
Dimensional Finite Element
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