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Related Concept Videos

Three-Dimensional Force System:Problem Solving01:30

Three-Dimensional Force System:Problem Solving

A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is commonly encountered in physics and engineering, where it is necessary to calculate the resultant force on the system, which can then be used to predict or analyze the behavior of the object or structure under consideration.
To solve a three-dimensional force system, first resolve each force into its respective scalar components. Do this using...
Three-Dimensional Analysis of Strain01:29

Three-Dimensional Analysis of Strain

Three-dimensional strain analysis is crucial for understanding how materials deform under stress, particularly in elastic, homogeneous materials. This method employs principal stress axes to simplify complex stress states into more understandable forms. Subjected to stress, a small cubic element within a material either expands or contracts along these axes, transforming into a rectangular parallelepiped. This transformation effectively illustrates the material's deformation. The principal...
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Cylinders in Three-Dimensional Space

A cylindrical surface is generated when a two-dimensional profile curve is translated along a straight line in three-dimensional space. The translated copies of the curve form a surface composed of parallel rulings, each oriented in the same fixed direction. This construction allows many three-dimensional forms to be described using relatively simple planar equations.In Cartesian coordinates, a cylindrical surface is often recognized by an equation that omits one of the three variables. For...
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In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z coordinate axes. The three-dimensional force system is an important concept in mechanical engineering, as it allows engineers to understand and analyze the behavior of objects and structures in three dimensions. By understanding the forces acting on a system, engineers can design more efficient and effective mechanical systems that can withstand...
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Related Experiment Video

Updated: Jun 17, 2026

Simulation of the Planetary Interior Differentiation Processes in the Laboratory
06:04

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Published on: November 15, 2013

Three-dimensional numerical simulation of progressive rock caving using a tension-driven iterative element-removal

Jingwen Liu1,2, Jiangyong Pu3,4, Qinglei Yu2

  • 1State Key Laboratory of Intelligent Deep Metal Mining and Equipment, Northeastern University, Shenyang, 110819, Liaoning, China.

Scientific Reports
|June 15, 2026
PubMed
Summary

This study introduces a new 3D numerical model for predicting rock caving in underground mines. The model accurately simulates caving morphology and collapse height, improving mine safety and design.

Keywords:
3D caving morphologyCaving miningIterative element removalProgressive rock failureStress archingTension-driven detachment

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Area of Science:

  • Geotechnical Engineering
  • Rock Mechanics
  • Computational Modeling

Background:

  • Caving mining is crucial for deep ore extraction due to its efficiency.
  • Predicting 3D caving morphology and collapse height is vital for safe mine design.
  • Existing methods like 2D theories and conventional numerical models have limitations in capturing 3D progressive caving.

Purpose of the Study:

  • To develop a 3D continuum-based numerical framework for simulating rock caving.
  • To accurately predict the three-dimensional caving morphology and collapse height.
  • To provide a tool for risk assessment and backfill design in underground mining.

Main Methods:

  • A 3D continuum-based numerical framework using FLAC3D.
  • Defining tension-induced detachment of plasticized rock mass as the primary failure mechanism.
  • Implementing an iterative element-removal scheme to represent progressive collapse.

Main Results:

  • The model accurately simulates caving morphology and collapse height, verified against classical theories.
  • The caving zone expands progressively upward with an arch-like cross-sectional geometry.
  • Internal friction angle significantly influences caving height and volume by controlling shear resistance and stress redistribution.

Conclusions:

  • The developed numerical approach offers an efficient and interpretable tool for evaluating caving behavior.
  • This method supports improved risk assessment and backfill design in underground mining operations.
  • Accurate prediction of 3D caving phenomena enhances safety and cost-efficiency in deep ore extraction.