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Related Concept Videos

Fatigue01:21

Fatigue

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Fatigue occurs when materials rupture under repeated or fluctuating loads, even at stress levels far below their static breaking strength. It typically results in brittle failure, even for ductile materials. It is a critical consideration in designing machines and structural components subjected to repetitive or varying loads. The nature of these loadings can range from fluctuating loads like unbalanced pump impellers causing vibrations to repeatedly bending a thin steel rod wire back and forth...
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Stress-Strain Diagram - Brittle Materials01:24

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Brittle materials, including glass, cast iron, and stone, exhibit unique characteristics. They fracture without considerable change in their elongation rate, indicating that their breaking and ultimate strength are equivalent. Such materials also show lower strain levels at the point of rupture. The failure in brittle materials predominantly results from normal stresses, as evidenced by the rupture created along a surface perpendicular to the applied load. These materials do not display...
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Bending of Members Made of Several Materials01:08

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In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
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Tensile Strength Considerations of Concrete01:16

Tensile Strength Considerations of Concrete

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Considering the tensile strength of concrete involves recognizing that the theoretical strength of cement paste can be up to a thousand times higher than what is observed in practical applications. This significant discrepancy is largely attributed to the presence of microscopic cracks within the concrete. These cracks tend to amplify stress at their tips when a load is applied, a phenomenon explained by Griffith's theory of brittle fracture.
The dimensions and shape of a concrete specimen...
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Stress-Strain Diagram - Ductile Materials01:24

Stress-Strain Diagram - Ductile Materials

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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...
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Microcracking in Concrete01:20

Microcracking in Concrete

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Microcracking in concrete refers to the tiny cracks that can form within the material even before any external load is applied. These microcracks typically occur at the interface between the coarse aggregate and the hydrated cement paste, often as a result of differential volume changes prompted by variations in stress-strain behavior, as well as thermal and moisture movement. Initially, these microcracks remain stable and do not grow substantially until the concrete is stressed to about 30...
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Related Experiment Video

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Subject-specific Musculoskeletal Model for Studying Bone Strain During Dynamic Motion
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Piecewise Linear Strength Models for Analyzing Multiple Failure Mechanisms in Rocks Materials.

Shiqi Li1, Yuan Li1, Dongjue Fan1

  • 1School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China.

Materials (Basel, Switzerland)
|August 29, 2024
PubMed
Summary

Rock failures involve multiple mechanisms like fracturing and shearing. This study introduces a new piecewise linear model to analyze these complex rock strength behaviors, improving failure prediction.

Keywords:
Paul-Mohr-Coulomb modelextensional-strain criterionrock material strength criteriontransformation of failure mode

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Area of Science:

  • Geotechnical Engineering
  • Rock Mechanics
  • Materials Science

Background:

  • Rock material failures exhibit co-existing mechanisms (fracturing, shearing, compaction).
  • Macroscopically, these manifest as multiple failure modes and nonlinear strength characteristics.
  • Existing rock mechanics theories often focus on single failure mechanisms, limiting their applicability.

Purpose of the Study:

  • To evaluate alternative strength theories for rocks exhibiting multiple failure mechanisms.
  • To propose a novel piecewise linear strength model for analyzing multi-mechanism rock failure.
  • To reveal the intrinsic mechanisms behind multi-mechanism rock material failure.

Main Methods:

  • Development of a piecewise linear strength model based on the extensional-strain criterion and the Paul-Mohr-Coulomb (PMC) model.
  • Formulation of a multiple failure mechanism strength model using inequalities with generalized shear stress, mean stress, and stress Lode angle.
  • Conducting strength tests on sandstone and granite samples under various stress conditions.

Main Results:

  • Observed distinct piecewise linear strength characteristics in sandstone and granite under different stress conditions.
  • Validated the rationality and applicability of the proposed multiple failure mechanism model.
  • Demonstrated the model's suitability for analyzing complex rock failure behaviors.

Conclusions:

  • A multi-mechanism failure model for rocks has been successfully constructed.
  • The proposed model enhances predictive capabilities for rock structural failures.
  • Findings aid in understanding and preventing rock-related structural failures.