Systematic prediction of yield-line configurations for arbitrary polygonal plates

Wüst, Jochen; Wagner, Werner

doi:10.1016/j.engstruct.2008.01.005

Cited by 13 publications

(10 citation statements)

References 15 publications

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“…Results of simply supported square plate with one free side, subjected to uniform load All load factors were in close agreement with both the results obtained from the 10x10 mesh grid and the value reported in Ref. [22]. Maximum difference was +0.57% resulting from the coarse mesh.…”

Section: Example-1: Simply Supported Square Plate With One Free Side supporting

confidence: 79%

“…This result was also verified using a non-linear finite element analysis, Fig. 8 (b) [22]. A load of 1.0 kN/m 2 was applied in the current analysis; hence a load factor (LF) of 14.14 corresponds to the above result.…”

Section: Example-1: Simply Supported Square Plate With One Free Side mentioning

confidence: 60%

“…The least value of the collection of minimum load factors resulting from the previous step is the load factor [22].…”

Section: Discontinuity Passing Through Elementmentioning

confidence: 99%

“…8 (a). This slab was previously solved by Wüst and Wagner [22] using their method for systematically finding all possible yield patterns. For a 1.0 kNm/m plastic moment capacity, an ultimate load of 14.14 kN/m 2 was reported.…”

Section: Example-1: Simply Supported Square Plate With One Free Side mentioning

confidence: 99%

“…Wüst and Wagner [22] in 2008 presented a new method to systematically find all possible yield patterns of arbitrary polygonal plate. Both convex and concave cases were considered.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Finite element lower bound “yield line” analysis of isotropic slabs using rotation-free elements

Al‐Sabah

Falter

2013

Engineering Structures

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A new lower bound finite element method for slab analysis is presented as a practical substitute to full, non-linear, finite element methods that require expert knowledge and long running times. The method provides a general, safe and efficient lower bound solution for the analysis of reinforced concrete slabs up to failure. As it is finite element based, the method is more general than the yield line and strip methods currently in use. Furthermore, its lower bound nature makes it safer than the yield line method. The method uses a rotation-free, plate finite element modified to allow plastic "yield lines" to pass through at any direction. Yield lines are generated at the principal moment directions when the plastic moment capacity is attained. The material is assumed to be elastic perfectly-plastic. Following the general spirit of yield line analysis, the effects of a yield line are projected to the sides of the triangular element and then used to calculate the bending curvatures. The method's efficiency is achieved by using rotation-free plate elements with a single degree of freedom per node and by the incremental solution that does not require iterations. The method's accuracy and convergence are assessed by comparing standard cases with known results. In all cases, results were close to the theoretical values with difference of less than 1%. It is also used to solve a practical sized flat slab problem in order to demonstrate the method's efficiency, convergence, and speed.

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Section: Example-1: Simply Supported Square Plate With One Free Side supporting

confidence: 79%

Section: Example-1: Simply Supported Square Plate With One Free Side mentioning

confidence: 60%

“…The least value of the collection of minimum load factors resulting from the previous step is the load factor [22].…”

Section: Discontinuity Passing Through Elementmentioning

confidence: 99%

Section: Example-1: Simply Supported Square Plate With One Free Side mentioning

confidence: 99%

“…Wüst and Wagner [22] in 2008 presented a new method to systematically find all possible yield patterns of arbitrary polygonal plate. Both convex and concave cases were considered.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Finite element lower bound “yield line” analysis of isotropic slabs using rotation-free elements

Al‐Sabah

Falter

2013

Engineering Structures

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Structural behavior of cast‐in C‐channel anchors in precast concrete under uniaxial tension

AbouHamdah¹,

Al‐Osta

Baluch

et al. 2017

Structural Concrete

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The cast‐in C‐channel is a small anchoring steel piece used to post‐connect different types of elements in precast concrete members. The objective of this study was to investigate the ultimate capacity of cast‐in C‐channels under uniaxial tension and to compare its ultimate load capacity and failure modes with a three‐dimensional finite element (FE) simulation, and to develop a mechanistic solution for cast‐in C‐channels. Five samples were cast and tested in varying configurations to induce the different failure modes of the channels, focusing on the influence of the confinement of the host concrete as well as the effect of the studs. The results showed that flexure of the channel governed the capacity in both the experimental work as well as in FE. In addition, the results of having local lip yielding as another dominant failure mechanism were similar to that observed in the experimental work and the finite element method (FEM). The FEM predicted not only the failure modes as addressed in mechanistic formulations but also captured the diagonal cracking in the host concrete and relative slip of the embedded channel, both phenomena observed in the experimental work but not accounted explicitly in the current design formulations.

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Homogenization assumptions for the two-scale analysis of first-order shear deformable shells

Mester,

Klarmann,

Klinkel

2023

Comput Mech

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This contribution presents a multiscale approach for the analysis of shell structures using Reissner–Mindlin kinematics. A distinctive feature is that the thickness of the representative volume element (RVE) corresponds to the shell thickness. The main focus of this paper is on the choice of correct boundary conditions for the RVE. Three different types of boundary conditions, which fulfil the Hill–Mandel condition, are presented to bridge the two scales. A common feature is the application of zero-traction boundary conditions at the top and bottom surfaces of the RVE. Furthermore, an internal constraint is used to reduce the dependency of the stiffness components on the RVE size. The introduced boundary conditions differ mainly in the application of shear strains and their symmetry requirements on the RVE. The characteristic features are compared by means of linear-elastic benchmark tests. It is shown that the stress resultants and tangent stiffness components are obtained correctly. Moreover, the presented approach is verified using different macroscopic shell structures and different mesostructures. Both, linear and nonlinear small strain examples are compared to analytical values or full-scale solutions and demonstrate a wide applicability of the present formulation.

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Systematic prediction of yield-line configurations for arbitrary polygonal plates

Cited by 13 publications

References 15 publications

Finite element lower bound “yield line” analysis of isotropic slabs using rotation-free elements

Finite element lower bound “yield line” analysis of isotropic slabs using rotation-free elements

Structural behavior of cast‐in C‐channel anchors in precast concrete under uniaxial tension

Homogenization assumptions for the two-scale analysis of first-order shear deformable shells

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