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Related Concept Videos

Stress: General Loading Conditions01:15

Stress: General Loading Conditions

666
To grasp the intricacy of real-world conditions where multiple loads are applied simultaneously to a structure, one might visualize a section passing through a specific point within a body, aligned parallel to the xy plane. This section is subjected to various forces, including original loads, normal forces, and shearing forces.
The shearing force, possessing potential directionality within the plane of the section, is simplified into two component forces running parallel to the x and y axes....
666
General State of Stress01:21

General State of Stress

776
The general state of stress within a material can be accurately depicted using a stress tensor. This tensor encapsulates the internal forces distributed within a material subjected to external forces or deformations.
Specifically, consider a tetrahedral element where one face, labeled XYZ, is perpendicular to the line OA, and the remaining faces align with the coordinate axes with point O as the origin. At any point, such as point O, the stress tensor can be used to determine the stress...
776
Stress-Strain Diagram - Ductile Materials01:24

Stress-Strain Diagram - Ductile Materials

2.5K
The stress-strain relationship in ductile materials such as structural steel or aluminium is intricate and progresses through several stages. When a specimen is loaded, it initially exhibits a linear length increase, depicted by a steep straight line on the stress-strain diagram. It indicates the material is elastically deforming and will return to its original shape once unloaded. However, when a critical stress value is reached, plastic deformation begins. This stage sees substantial...
2.5K
Normal Stress01:19

Normal Stress

1.6K
Normal stress is a type of stress that occurs when forces act perpendicular, or normal, to a material's cross-sectional area. This stress often arises in structures when subjected to axial loading, which is the application of force along the axis of an object. A practical example of this can be found in bridge truss members.
When a rod is under axial loading, the internal forces and corresponding stress are normal to the plane of the section, so it is termed normal stress. It's important to...
1.6K
Stresses under Combined Loadings01:23

Stresses under Combined Loadings

524
When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
524
Components of Stress01:23

Components of Stress

626
Stress analysis under multiple loading conditions is intricate, necessitating a comprehensive grasp of normal and shearing stresses. Consider a small cube at point O, subjected to stress on all six faces, visible or not. Normal stress components σx, σy, σz act perpendicularly to the x, y, and z axes. Shearing stress components τxy and τxz are exerted on faces perpendicular to these axes.
Interestingly, the hidden cube faces also experience these stresses, equal and...
626

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Updated: Mar 22, 2026

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
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Setting up virgin stress conditions in discrete element models.

J Rojek1, G F Karlis2, L J Malinowski2

  • 1Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B, 02-106 Warsaw, Poland.

Computers and Geotechnics
|April 19, 2016
PubMed
Summary

A new method converts pre-excavation stresses into contact forces for discrete element models (DEM). This approach accurately sets up virgin stress conditions in DEM simulations of underground excavations.

Keywords:
Discrete element methodDiscrete/continuum modelingInitial stress conditionsVirgin stresses

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Area of Science:

  • Geotechnical Engineering
  • Computational Mechanics

Background:

  • Discrete Element Method (DEM) models require contact forces, not stresses, for simulations.
  • Accurately representing in-situ stress conditions (virgin stress) is crucial for modeling underground excavations.

Purpose of the Study:

  • To propose a novel methodology for establishing virgin stress conditions in DEM models.
  • To develop an algorithm for converting macroscopic stresses into equivalent contact forces for DEM.

Main Methods:

  • Review and critical assessment of existing methods for setting up virgin stress conditions in DEM.
  • Development and application of a new algorithm for stress-to-force conversion in DEM.

Main Results:

  • The proposed method successfully sets up virgin stress conditions in DEM models.
  • Test examples demonstrate the effectiveness of the algorithm across various DEM domain shapes.

Conclusions:

  • The developed methodology provides a reliable way to initialize DEM models with appropriate virgin stress states.
  • This facilitates more accurate numerical simulations of underground excavations using DEM.