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Related Concept Videos

Elasticity01:12

Elasticity

Elasticity is the ability of an object to withstand the effects of distortion and to return to its original size and shape once the forces causing deformation are removed. When an elastic material deforms under the action of an external force, it experiences internal resistance to the deformation. However, if no external force is applied, it returns to its original state.
The elasticity of an object can be described by a stress-strain curve, which represents the relationship between stress...
Simple Harmonic Motion01:21

Simple Harmonic Motion

Simple harmonic motion is the name given to oscillatory motion for a system where the net force can be described by Hooke's law. If the net force can be described by Hooke's law and there is no damping (by friction or other non-conservative forces), then a simple harmonic oscillator will oscillate with equal displacement on either side of the equilibrium position. To derive an equation for period and frequency, the equation of motion is used. The period of a simple harmonic oscillator is given...
Elastin is Responsible for Tissue Elasticity01:12

Elastin is Responsible for Tissue Elasticity

Elastic fiber contains the protein elastin along with lesser amounts of other proteins and glycoproteins. The main property of elastin is that it will return to its original shape after being stretched or compressed. Elastic fibers are prominent in elastic tissues found in skin and the elastic ligaments of the vertebral column.
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Sound as Pressure Waves01:17

Sound as Pressure Waves

Sound waves, which are longitudinal waves, can be modeled as the displacement amplitude varying as a function of the spatial and temporal coordinates. As a column of the medium is displaced, its successive columns are also displaced. As the successive displacements differ relatively, a pressure difference with the surrounding pressure is created. The gauge pressure varies across the medium.
The pressure fluctuation depends on the difference in displacements between the successive points in the...
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.
Members Made of Elastoplastic Material01:19

Members Made of Elastoplastic Material

The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

Periodic elastic medium in which periodicity is relevant

Seppala1, Alava, Duxbury

  • 1Laboratory of Physics, Helsinki University of Technology, P.O. Box 1100, FIN-02015 HUT, Finland.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
Summary

This study examines periodic elastic media, revealing they belong to the random-substrate universality class. This differs from additive potential models, highlighting distinct behaviors in surface roughness scaling.

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Area of Science:

  • Condensed Matter Physics
  • Statistical Mechanics
  • Materials Science

Background:

  • Periodic elastic media exhibit complex behaviors influenced by potential types.
  • Previous studies indicated random manifold class dominance for additive potentials.
  • Understanding universality classes is crucial for predicting material properties.

Purpose of the Study:

  • To analyze the universality class of a periodic elastic medium with specific periodicities.
  • To contrast its long-distance behavior with models featuring additive periodic potentials.
  • To investigate the scaling of surface roughness in different dimensions.

Main Methods:

  • Analysis of (1+1) and (2+1) dimensional periodic elastic media.
  • Utilizing random-bond Ising interfaces on hypercubic lattices.
  • Exact ground-state calculations and scaling arguments.

Main Results:

  • The analyzed medium consistently falls into the random-substrate universality class.
  • Surface roughness scaling differs significantly from random manifold models.
  • Specific scaling exponents and characteristic lengths (L(c)) were determined for (1+1) and (2+1) dimensions.

Conclusions:

  • Periodic elastic media with the studied periodicity exhibit distinct scaling behavior.
  • The findings challenge previous assumptions about universality classes in such systems.
  • This work provides a refined understanding of surface roughness in disordered periodic materials.