Limit Analysis on RC-Structures by a Multi-yield-criteria Numerical Approach

2015 ◽  
pp. 199-219
Author(s):  
Aurora Angela Pisano ◽  
Paolo Fuschi ◽  
Dario De Domenico
Keyword(s):  
Limit Analysis ◽  
Numerical Approach ◽  
Rc Structures ◽  
Yield Criteria

Numerical Limit Analysis of Slab Bridges with Construction Joints

2018 ◽  
Author(s):  
Thomas Westergaard Jensen ◽  
Linh Cao Hoang
Keyword(s):  
Carrying Capacity ◽  
Limit Analysis ◽  
Concrete Slabs ◽  
Load Carrying Capacity ◽  
Layer Model ◽  
Yield Criteria ◽  
Reinforced Concrete Slabs ◽  
Load Carrying ◽  
Construction Joints

The conic yield criteria for reinforced concrete slabs in bending are often used when evaluating the load‐carrying capacity of slab bridges. In the last decades, the yield criteria combined with numerical limit analysis have shown to be efficient methods to determine the load carrying capacity of slabs. However, the yield criteria overestimate the torsion capacity of slabs with high reinforcement ratios and it cannot handle slabs with construction joints. In this paper, numerical limit analysis with the conic yield criteria are compared with yield criteria based on an optimized layer model. The analysis show an increasing overestimation of the load carrying capacity for increasing reinforcement degrees. Furthermore, yield criteria, which combine the conic yield criteria with an extra linear criterion due to friction, are presented for slab bridges with construction joints. The yield criteria for slabs with construction joints are used, in combination with limit analysis, to evaluate a bridge constructed of pre‐cast overturned T‐beams and in‐situ concrete. The analysis show that the load carrying capacity is overestimated, when the construction joints are not considered in the yield criteria.

scholarly journals Pounding Effects on the Earthquake Response of Adjacent Reinforced Concrete Structures Strengthened by Cable Elements

2014 ◽  
Vol 44 (2) ◽  
pp. 41-56 ◽  
Author(s):  
Angelos Liolios ◽  
Asterios Liolios ◽  
George Hatzigeorgiou ◽  
Stefan Radev
Keyword(s):  
Reinforced Concrete ◽  
Numerical Approach ◽  
Earthquake Response ◽  
Existing Buildings ◽  
The Finite Element Method ◽  
Time Step ◽  
Engineering Structures ◽  
Rc Structures ◽  
Incremental Approach ◽  
Rc Frames

Abstract A numerical approach for estimating the effects of pounding (seismic interaction) on the response of adjacent Civil Engineering structures is presented. Emphasis is given to reinforced concrete (RC) frames of existing buildings which are seismically strengthened by cable-elements. A double discretization, in space by the Finite Element Method and in time by a direct incremental approach is used. The unilateral behaviours of both, the cable-elements and the interfaces contact-constraints, are taken strictly into account and result to inequality constitutive conditions. So, in each time-step, a non-convex linear complementarity problem is solved. It is found that pounding and cable strengthening have significant effects on the earthquake response and, hence, on the seismic upgrading of existing adjacent RC structures.

Rigid-Plastic Collapse of Cylindrical Shells

1973 ◽  
Vol 95 (1) ◽  
pp. 215-218 ◽  
Author(s):  
H. M. Haydl ◽  
A. N. Sherbourne
Keyword(s):  
Limit Analysis ◽  
Cylindrical Shells ◽  
Numerical Approach ◽  
External Pressure ◽  
Plastic Collapse ◽  
Rigid Plastic ◽  
Limit Loads ◽  
Complex Problems ◽  
Safe Side ◽  
Von Mises

This paper suggests a simple numerical approach to the limit analysis of cantilever cylindrical shells. The loads considered are external pressure and external pressure combined with a moment at the free shell end. It is shown that the collapse loads are within 4.5 percent on the safe side of the exact von Mises limit loads. The extension of the method of analysis to more complex problems is suggested.

Lower bound limit analysis of slabs with nonlinear yield criteria

2002 ◽  
Vol 80 (27-30) ◽  
pp. 2043-2057 ◽  
Author(s):  
Kristian Krabbenhoft ◽  
Lars Damkilde
Keyword(s):  
Lower Bound ◽  
Limit Analysis ◽  
Yield Criteria ◽  
Lower Bound Limit Analysis

scholarly journals Application of discontinuity layout optimization to three-dimensional plasticity problems

2013 ◽  
Vol 469 (2155) ◽  
pp. 20130009 ◽  
Author(s):  
Samuel Hawksbee ◽  
Colin Smith ◽  
Matthew Gilbert
Keyword(s):  
Upper Bound ◽  
Limit Analysis ◽  
Three Dimensional ◽  
Layout Optimization ◽  
Benchmark Problems ◽  
Cone Programming ◽  
Yield Criteria ◽  
Collapse Mechanisms ◽  
Second Order Cone ◽  
Programming Techniques

A new three-dimensional limit analysis formulation that uses the recently developed discontinuity layout optimization (DLO) procedure is described. With DLO, limit analysis problems are formulated purely in terms of discontinuities, which take the form of polygons when three-dimensional problems are involved. Efficient second-order cone programming techniques can be used to obtain solutions for problems involving Tresca and Mohr–Coulomb yield criteria. This allows traditional ‘upper bound’ translational collapse mechanisms to be identified automatically. A number of simple benchmark problems are considered, demonstrating that good results can be obtained even when coarse numerical discretizations are employed.

scholarly journals A Numerical Approach for the Design of RC Beams Subjected to Axial and Transverse Loads

2021 ◽  
Vol 1203 (3) ◽  
pp. 032108
Author(s):  
Amal Wahbi ◽  
Duc Toan Pham ◽  
Ghazi Hassen ◽  
Denis Garnier ◽  
Patrick de Buhan
Keyword(s):  
Finite Element ◽  
Limit Analysis ◽  
Optimization Method ◽  
Numerical Approach ◽  
Rc Beams ◽  
Present Contribution ◽  
Transverse Loads ◽  
Numerical Predictions ◽  
Analysis Theory ◽  
Mixed Modelling

Abstract The present contribution deals with a numerical approach for the design of RC beams subjected to axial and transverse loads. It is based on the finite-element implementation of the kinematic approach of the yield design (or limit analysis) theory combined with a “mixed modelling” where the concrete material is regarded as a classical two-dimensional continuum while the longitudinal reinforcements are modelled as one-dimensional elements working in tension-compression only. For the beams reinforced in shear, stirrups are incorporated in the analysis through a homogenization procedure. An optimization problem is formulated, then solved using conic quadratic optimization method. As a result, an upper bound estimate to the yield strength domain of RC beams may be drawn in the plane of axial and transverse loads. For illustrative purpose, calculations are conducted on typical RC beams with different longitudinal and transverse reinforcement degrees. Furthermore, it is shown that such numerical predictions prove to be in good agreement with the results derived from other numerical simulations of the same problem using a finite element-based limit analysis commercial software. In order to assess their practical validity, these predictions are also compared to some available experimental results published in the literature.

Numerical Approach to the Live Load Factor for RC Structures as a Function of Life-Time

2013 ◽  
Vol 16 (11) ◽  
pp. 1931-1942
Author(s):  
Hany Jawaheri Zadeh ◽  
Felipe Mejia ◽  
Antonio Nanni
Keyword(s):  
Life Time ◽  
Numerical Approach ◽  
Load Factor ◽  
Live Load ◽  
Rc Structures
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