Failure design of high-rise concrete panels under fire loading

Bleyer, Jérémy; Pham, Duc Toan; Buhan, Patrick de

doi:10.1680/eacm.14.00028

Cited by 8 publications

(13 citation statements)

References 12 publications

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“…Following the approach of Chen and Marti or quite recently, Bleyer et al the unreinforced or plain concrete will be modeled as a 3D homogeneous continuous medium, the strength properties of which will be described by means of a tension cut‐off Mohr‐Coulomb yield condition which may be formulated as

F^{c} ((), \underset{true¯}{\underset{σ}{true}}) = sup ({};, K_{p} σ_{M} - σ_{m} - f_{c}, σ_{M} - f_{t}) \leq 0 .

…”

Section: Modeling Strength Properties Of Plain and Reinforced Concretementioning

confidence: 99%

“…In the situation when the structure is made of an assemblage of 1D (beams or arches) or 2D (plates or shells) structural members, its ultimate bearing capacity may be evaluated from a previously determined interaction yield criterion involving generalized stresses such as axial‐membrane forces and bending moments. This method, which proves particularly attractive from an engineering point of view, has been quite recently used for spatial frame structures and reinforced concrete plates in combination with efficient convex optimization procedures.…”

Section: Introductionmentioning

confidence: 99%

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Yield design‐based numerical analysis of three‐dimensional reinforced concrete structures

Vincent

Arquier²,

Bleyer

et al. 2018

Num Anal Meth Geomechanics

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Summary The objective of this contribution is to present some new recent developments regarding the evaluation of the ultimate bearing capacity of massive three‐dimensional reinforced concrete structures which cannot be modeled as 1D (beams) or 2D (plates) structural members. The approach is based upon the implementation of the lower bound static approach of yield design through a discretization of the three‐dimensional structure into tetrahedral finite elements, on the one hand, the formulation of the corresponding optimization problem in the context of semi‐definite programming techniques, on the other hand. Another key feature of the method lies in the treatment of the concrete‐embedded reinforcing bars not as individual elements, but by resorting to an extension of the yield design homogenization approach. The whole procedure is first validated on the rather simple illustrative problem of a uniformly loaded simply supported beam, then applied to the design of a bridge pier cap taken as an example of more complex and realistic structure.

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F^{c} ((), \underset{true¯}{\underset{σ}{true}}) = sup ({};, K_{p} σ_{M} - σ_{m} - f_{c}, σ_{M} - f_{t}) \leq 0 .

…”

Section: Modeling Strength Properties Of Plain and Reinforced Concretementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Yield design‐based numerical analysis of three‐dimensional reinforced concrete structures

Vincent

Arquier²,

Bleyer

et al. 2018

Num Anal Meth Geomechanics

Self Cite

View full text Add to dashboard Cite

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“…As mentioned earlier, the panel in its deformed configuration will be viewed as a shell modelled by an assembly of planar facets in membrane-bending interaction as described in [19]. In particular, numerical strategies for approximating the generalized strength criterion G either from the inside or from the outside are employed (respectively for the lower bound static approach and the upper bound kinematic approach) to ensure the strict bounding status of the computed critical load factor [11,19]. Such strategies are, moreover, particularly suited for formulating the corresponding discrete optimization problems as second-order cone programs.…”

Section: Yield Design Analysis Of the Wall In Its Deformed Configurationmentioning

confidence: 99%

“…The stability of high-rise reinforced concrete walls in fire condition has been investigated in [11] using yield design computations at the structure scale. The present paper is a continuation of this work and attempts at providing more insights into the failure of such structures, in particular regarding the influence of the structure geometrical configuration and the influence of imperfect connections between panels.…”

Section: Introductionmentioning

confidence: 99%

Numerical Yield Design Analysis of High-Rise Reinforced Concrete Walls in Fire Conditions

Bleyer

Pham

Buhan

2017

Advances in Direct Methods for Materials and Structures

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International audienceThe present contribution aims at developing a numerical procedure for predicting the failure of high rise reinforced concrete walls subjected to fire loading conditions. The stability of such structures depends, on the one hand, on thermal strains inducing a curved deformed configuration and, on the other hand, on a local degradation of the constitutive material strength properties due to the increase of temperature across the wall thickness. A three step procedure is proposed, in which the yield design (limit analysis) method is applied on two separate levels. First, an up-scaling procedure on the wall unit cell is considered as a way for assessing the generalized strength properties of the curved wall, modelled as a shell, by taking into account reduced strength capacities of the constitutive materials. Secondly, the overall stability of the wall in its fire-induced deformed configuration is assessed using lower and upper bound based on shell finite elements and the previously determined temperature-dependent strength criterion. Second-order cone programming problems are then formulated and solved using state-of-the-art solvers. Different illustrative applications are presented to investigate the sensitivity of the wall stability to geometrical parameters. Finally, the influence of imperfect connections between panels is also considered using a simple joint behaviour

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“…This is shown to bring benefits compared with other optimisation strategies (e.g. Benders decomposition), and to reduce memory requirements by a factor of two.The final paper by Bleyer et al (2015), describes a modelling strategy for a complex real-world engineering problem, the analysis of reinforced concrete wall panels in high-rise buildings under the action of fire loading. Here direct methods are used in combination with traditional elastic analysis tools as follows: a classical thermo-elastic finite-element model is first used to obtain temperature gradients and also the deformed shape of a given wall panel.…”

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confidence: 99%

Editorial

Gilbert¹

2015

Proceedings of the Institution of Civil Engineers - Engineering

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To evaluate the performance of solids and structures, engineers have traditionally relied on methods of analysis based on either elastic or plastic theory in order to respectively model in-service and ultimate behaviour. In the case of elastic analysis, the availability of the stiffness method has meant that linear elastic simulations of solids and structures of any geometry can now be performed quickly and easily on a desktop PC. However, in the case of plastic analysis, computer-based formulations have proved more troublesome to develop. This has meant that engineers who wish to model plastic behaviour have had to rely either on hand calculations, perhaps automated in a simple computer program, or on significantly more complex incremental analysis methods (e.g. non-linear finite-element analysis). Developing numerical analysis tools capable of modelling the ultimate behaviour of solids and structures in a rapid and direct manner has therefore become a priority; such methods are often termed 'direct methods', and are the subject of this themed issue. The second part of the issue includes five papers, which cover a wide range of direct methods and applications.In the first paper, Makrodimopoulos (2015) revisits the pioneering finite-element limit analysis formulation for thin plates devised by Hodge and Belytschko (1968). When first published in 1968, the computing facilities and optimisation algorithms available were rudimentary, affecting the quality of results that could be obtained. However, in the intervening years, results from the paper have frequently been compared with those obtained by researchers employing modern computing facilities and optimisation algorithms. Here Makrodimopoulos (2015) seeks to assess how well Hodge and Belytschko's formulation performs when used in conjunction with modern computing facilities and optimisation algorithms. In fact, it is shown that the Hodge and Belytschko formulation compares favourably with a number of recently proposed methods, and it is also shown that it can be extended to model reinforced concrete slabs, by using the Neilsen failure criteria.In the paper by Dollerup et al. (2015), an optimisation-based design procedure for reinforced concrete slabs is proposed. The lack of suitable computer-based tools for the design of reinforced concrete slabs has led some practitioners to turn to elastic methods, even when ultimate limit state behaviour is of primary importance. This can lead to complex reinforcement layouts and/or to very conservative designs. Dollerup et al.(2015) describe a lower bound limit analysis/design formulation capable of treating multiple load cases, and demonstrate its efficacy by applying it to various slab design problems. It is shown that it can be used to identify slab designs with significantly reduced required moment capacities (and hence; for example, steel reinforcement).In the paper by Smith and Gilbert (2015), the discontinuity layout optimisation (DLO) procedure is applied to problems involving rotational failure in confined geometr...

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Failure design of high-rise concrete panels under fire loading

Cited by 8 publications

References 12 publications

Yield design‐based numerical analysis of three‐dimensional reinforced concrete structures

Yield design‐based numerical analysis of three‐dimensional reinforced concrete structures

Numerical Yield Design Analysis of High-Rise Reinforced Concrete Walls in Fire Conditions

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