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Related Concept Videos

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Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
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Related Experiment Video

Updated: Apr 26, 2026

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
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Automatic yield-line analysis of slabs using discontinuity layout optimization.

Matthew Gilbert1, Linwei He1, Colin C Smith1

  • 1Department of Civil and Structural Engineering , University of Sheffield , Sir Frederick Mappin Building, Mappin St., Sheffield S1 3JD, UK.

Proceedings. Mathematical, Physical, and Engineering Sciences
|August 9, 2014
PubMed
Summary
This summary is machine-generated.

The discontinuity layout optimization (DLO) procedure reliably automates the analysis of slab and plate structures by identifying critical yield-line patterns. This systematic approach accurately determines maximum sustainable loads for complex geometries.

Keywords:
layout optimizationlimit analysisplasticityplatesslabsyield-line analysis

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Area of Science:

  • Structural Engineering
  • Computational Mechanics
  • Solid Mechanics

Background:

  • The yield-line method is effective for slab analysis but automating critical yield-line identification for arbitrary geometries remains challenging.
  • Previous automation attempts have not reliably handled complex slab shapes.

Purpose of the Study:

  • To demonstrate the efficacy of the discontinuity layout optimization (DLO) procedure for automated yield-line analysis.
  • To provide a systematic and reliable method for identifying critical yield-line patterns in slabs of arbitrary geometry.

Main Methods:

  • Discretization of the slab into nodes connected by potential yield-line discontinuities.
  • Application of linear programming to identify the critical layout of these discontinuities.
  • Testing the DLO procedure on various benchmark problems.

Main Results:

  • The DLO procedure successfully and reliably identifies critical yield-line patterns.
  • Highly accurate solutions for maximum sustainable loads were obtained.
  • The method proves effective for slabs of arbitrary geometry.

Conclusions:

  • Discontinuity layout optimization (DLO) offers a systematic and reliable automated solution for yield-line analysis.
  • The procedure can handle complex slab geometries and yield-line patterns.
  • A method for automatically simplifying complex yield-line patterns was developed.