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Updated: Mar 1, 2026

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Multi-slicing strategy for the three-dimensional discontinuity layout optimization (3D DLO).

Yiming Zhang1

  • 1Material-Technology Innsbruck (MTI) University of Innsbruck Technikerstraße 13 Innsbruck 6020 Austria.

International Journal for Numerical and Analytical Methods in Geomechanics
|March 18, 2017
PubMed
Summary
This summary is machine-generated.

Discontinuity layout optimization (DLO) uses a new multi-slicing strategy for efficient 3D pre-processing. This method improves reliability and enables solving large-scale engineering problems like landslides.

Keywords:
Mohr–Coulomb failure criteriadiscontinuity layout optimization (DLO)modelling (pre‐processing)upper bound limit analysis

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Area of Science:

  • Engineering
  • Computational Mechanics
  • Geomechanics

Background:

  • Discontinuity layout optimization (DLO) is a topology optimization method for determining critical discontinuity layouts and limit loads.
  • Effective pre-processing is crucial for DLO's computational efficiency and result reliability.
  • Existing methods face challenges in handling complex 3D discontinuity layouts.

Purpose of the Study:

  • To present an efficient and reliable pre-processing strategy for 3D discontinuity layout optimization (DLO).
  • To introduce a multi-slicing approach to naturally avoid overlapping discontinuities in 3D DLO.
  • To enable the application of 3D DLO to large-scale engineering problems.

Main Methods:

  • A multi-slicing strategy for pre-processing 3D discontinuities in DLO.
  • Formulation of 3D discontinuities using arbitrary convex polygons.
  • Efficient assembly of the global constraint matrix for the optimization solver.

Main Results:

  • The multi-slicing strategy effectively avoids overlapping and crossing discontinuities.
  • The proposed formulation allows for efficient constraint matrix assembly.
  • The method eliminates unnecessary discontinuities, enhancing computational efficiency.

Conclusions:

  • The presented multi-slicing strategy significantly improves the efficiency and reliability of 3D DLO pre-processing.
  • The method facilitates the application of 3D DLO to complex, large-scale engineering problems, such as landslide analysis.
  • Numerical examples demonstrate the effectiveness of the proposed approach in various scenarios.