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Related Concept Videos

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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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.
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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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Yield Criteria for Ductile Materials under Plane Stress01:25

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In designing structural elements and machine parts using ductile materials, it is crucial to ensure that these components withstand applied stresses without yielding. Yielding is initially determined through a tensile test, which evaluates the material's response to uniaxial stress. However, tensile stress is insufficient when components face biaxial or plane stress conditions This condition requires advanced criteria to predict failure.
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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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Plastic Behavior01:21

Plastic Behavior

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A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
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Applicability Analysis of Assessment Methods for Morphological Parameters of Corroded Steel Bars
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Toughness of Network Materials: Structural Parameters Controlling Damage Accumulation.

R C Picu1, S Jin1

  • 1Department of Mechanical, Aerospace and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180.

Journal of the Mechanics and Physics of Solids
|December 30, 2022
PubMed
Summary

This study investigates fiber network rupture, finding ductile failure occurs at a constant energy release rate. Increased network regularity leads to brittle failure, highlighting mechanical heterogeneity

Keywords:
damagefibrous materialsrandom fiber networksrupturetoughness

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Biophysics

Background:

  • Network materials, characterized by fiber networks, are crucial in engineering and biology.
  • Understanding their strength, toughness, and rupture mechanisms is essential for material design.

Purpose of the Study:

  • To investigate the rupture mechanism of stochastic model fiber networks without pre-existing cracks.
  • To identify parameters controlling energy release rate and failure modes (brittle vs. ductile).
  • To extend the Lake-Thomas theory to networks with distributed damage.

Main Methods:

  • Stochastic modeling of fiber networks.
  • Analysis of material softening due to fiber or crosslink failure.
  • Calculation of energy release rate as the strain derivative of specific energy released.

Main Results:

  • Ductile failure observed at a constant energy release rate in networks without pre-existing cracks.
  • Ductile to brittle failure transition occurs with increasing network affineness (reduced heterogeneity).
  • Network strength scales linearly with bond strength and crosslink density.

Conclusions:

  • The study extends the Lake-Thomas theory to networks failing via distributed damage accumulation.
  • Mechanical heterogeneity plays a key role in the ductile-to-brittle failure transition.
  • Provides a physical model for failure in stochastic network materials.