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Related Concept Videos

Strain Energy01:13

Strain Energy

Strain energy is a fundamental concept in the field of materials science and structural engineering, describing the energy absorbed by a material or structure when it is deformed under load.
Consider a rod that is fixed at one end and subjected to an axial force at the free end. This axial force induces stress within the rod, leading to its elongation. As the axial force increases, so does the elongation of the rod, illustrating a direct relationship between the force applied and the resulting...
Normal Strain under Axial Loading01:20

Normal Strain under Axial Loading

Normal strain under axial loading is an important concept in the field of mechanics of materials. Axial loading implies the application of a force along the axis of a material, like a column or bar. This force can either compress or stretch the material. In the context of axial loading, normal strain is the deformation experienced by the material in the direction of the loading force. It's calculated as the change in length divided by the original length of the material. This unitless ratio...
Strain-Energy Density01:20

Strain-Energy Density

Understanding the strain energy density in materials under axial load is crucial for evaluating their mechanical behavior and durability. When a rod is subjected to such a load, it elongates and stores energy, known as strain energy, as potential energy within the material. This energy is measured in terms of energy per unit volume.
In the elastic region of a material, the relationship between the stress and the strain is linear and follows Hooke's Law. The strain energy density in this region...
Plastic Behavior01:21

Plastic Behavior

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 reloaded.
Stress-Strain Diagram - Ductile Materials01:24

Stress-Strain Diagram - Ductile Materials

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...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity

Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.

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Related Experiment Video

Updated: Jul 6, 2026

Controlled Strain of 3D Hydrogels under Live Microscopy Imaging
07:41

Controlled Strain of 3D Hydrogels under Live Microscopy Imaging

Published on: December 4, 2020

Damage process of a fiber bundle with a strain gradient.

Ferenc Kun1, Sándor Nagy

  • 1Department of Theoretical Physics, University of Debrecen, P.O. Box 5, H-4010 Debrecen, Hungary. feri@dtp.atomki.hu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 21, 2008
PubMed
Summary

This study reveals novel fiber bundle behaviors under constant strain gradients. Damage progression shows distinct crack formation or random bursts, influenced by disorder strength.

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Area of Science:

  • Materials Science
  • Solid Mechanics
  • Statistical Physics

Background:

  • Fiber bundles are crucial in composite materials.
  • Understanding their damage mechanisms is vital for structural integrity.
  • Strain gradients can significantly alter material behavior.

Purpose of the Study:

  • To investigate the progressive damage of fiber bundles in a wedge-shaped geometry.
  • To analyze the influence of constant strain gradients on fiber bundle failure.
  • To characterize the novel behaviors arising from this geometry.

Main Methods:

  • Modeling a bar in three-point bending to create a wedge geometry.
  • Discretizing the elastic interface with parallel fibers with random failure thresholds.
  • Analyzing the progressive damage and failure modes.

Main Results:

  • Weak disorder leads to interface crack formation with a shrinking process zone.
  • Strong disorder results in spatially random fiber breakages and burst failures.
  • Damage bursts exhibit power-law size distributions with a crossover exponent.
  • Largest burst size scales with disorder strength (exponent 23) and saturates.

Conclusions:

  • Strain gradients induce complex and novel damage phenomena in fiber bundles.
  • The interplay between disorder and strain gradient dictates failure modes.
  • The findings provide insights into the mechanics of heterogeneous material failure.