Yield-line analysis by sequential linear programming

Johnson, David

doi:10.1016/0020-7683(94)00200-g

Cited by 27 publications

(30 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The proposed procedure clearly has similarities with the procedure put forward by Johnson (1994Johnson ( , 1995, which also involved the use of a geometry optimization step.…”

Section: Accepted Manuscriptmentioning

confidence: 86%

“…Attempting to address this issue, various workers proposed the use of 'geometry optimization' to subsequently adjust the positions of selected nodes in a post-processing phase. For example, Johnson (1994Johnson ( , 1995 proposed that this be achieved via the use of sequential linear programming. Other workers to propose a similar approach included Thavalingam et al (1999), who employed a conjugate gradient optimizer, and Johnson (1997, 1998), who used a direct search solver.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Automatic rationalization of yield-line patterns identified using discontinuity layout optimization

Gilbert

2016

International Journal of Solids and Structures

View full text Add to dashboard Cite

“…The proposed procedure clearly has similarities with the procedure put forward by Johnson (1994Johnson ( , 1995, which also involved the use of a geometry optimization step.…”

Section: Accepted Manuscriptmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Automatic rationalization of yield-line patterns identified using discontinuity layout optimization

Gilbert

2016

International Journal of Solids and Structures

View full text Add to dashboard Cite

“…In the first step, a yield pattern is predicted using a linear finite element analysis, then a less refined mesh is constructed with element boundaries lying close to the expected yield lines, to obtain the yield mechanism. Johnson (1996) extends the method developed for isotropic slabs (Johnson 1995) to non-isotropic cases. Gohnert and Kemp (1995) propose a four-node element, which they termed a "yield line element".…”

Section: Yield Line Analysismentioning

confidence: 99%

Nonlinear analysis of isotropic slab bridges under extreme traffic loading

et al. 2015

View full text Add to dashboard Cite

Probabilistic analysis of traffic loading on a bridge traditionally involves an extrapolation from measured or simulated load effects to a characteristic maximum value. In recent years, long run simulations, whereby thousands of years of traffic are simulated, have allowed researchers to gain new insights into the nature of the traffic scenarios that govern at the limit state. For example, mobile cranes and low-loaders, sometimes accompanied by a common articulated truck, have been shown to govern in most cases. In this paper, the extreme loading scenarios identified in the long-run simulation are applied to a non-linear, two-dimensional (2D) plate finite element model. For the first time, the loading scenarios that govern in 2D nonlinear analyses are found and compared to those that govern for 2D linear and one-dimensional (1D) linear and nonlinear analyses. Results show that, for an isotropic slab, the governing loading scenarios are similar to those that govern in simple 1D (beam) models. Furthermore, there are only slight differences in the critical positions of the vehicles. It is also evident that the load effects causing failure in the 2D linear elastic plate models are significantly lower, i.e., 2D linear elastic analysis is more conservative than both 2D nonlinear and 1D linear and nonlinear analyses.

show abstract

“…(15).The value of is (1.0) for elastic isotropic material of the same thickness. However, the presence of a yield line will change this value depending on its inclination relative to the element edge.…”

Section: Adding Yield Lines To Element "S3"mentioning

confidence: 99%

“…Yield lines are usually located at points of derivative discontinuity. This results in difficulties in solution optimization [15,20]. Even more difficulties are expected when attempting to solve large problems with hundreds of optimization variables rather than few tens.…”

Section: Introductionmentioning

confidence: 99%

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

Al‐Sabah

Falter

2013

Engineering Structures

View full text Add to dashboard Cite

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.

show abstract

Yield-line analysis by sequential linear programming

Cited by 27 publications

References 1 publication

Automatic rationalization of yield-line patterns identified using discontinuity layout optimization

Automatic rationalization of yield-line patterns identified using discontinuity layout optimization

Nonlinear analysis of isotropic slab bridges under extreme traffic loading

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

Contact Info

Product

Resources

About