Related Experiment Video
Updated: Dec 26, 2025
06:07
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
13.4K
Nonlinear Oscillatory Shear Tests in Viscoelastic Holography.
Matteo Baggioli1, Sebastian Grieninger2, Hesam Soltanpanahi3
1Instituto de Fisica Teorica UAM/CSIC, c/Nicolas Cabrera 13-15, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, Spain.
Physical Review Letters
|March 14, 2020
Summary
This study reveals that holographic models exhibit strain stiffening, characteristic of soft materials like polymers, not rigid metals. A transition from liquid-like to solid-like behavior was observed with increasing graviton mass.
Area of Science:
- Theoretical Physics
- Materials Science
- Rheology
Background:
- Holographic models offer a theoretical framework to study complex materials.
- Understanding the nonlinear rheology of viscoelastic materials is crucial for soft matter physics.
Purpose of the Study:
- To characterize the nonlinear, time-dependent rheologic response of viscoelastic bottom-up holographic models.
- To investigate the large amplitude oscillatory shear (LAOS) regime in these models.
Main Methods:
- Oscillatory shear tests were performed on holographic massive gravity theories.
- Analysis included Lissajous figures, Fourier analysis of stress signals, Pipkin diagrams, and strain amplitude dependence of moduli.
Main Results:
- Strong strain stiffening was observed, typical of hyperelastic materials like rubbers and polymers.
- A crossover from viscoelastic liquid to solid regimes was identified with increasing graviton mass.
- The models are unsuitable for describing rigid metals due to observed strain stiffening.
Conclusions:
- The findings suggest holographic models with finite elastic response are relevant for soft matter research.
- The study provides insights into homogeneous holographic models with broken translations.
More Related Videos
Related Concept Videos
01:20Elastic Strain Energy for Shearing Stresses
433
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
433
01:20Shearing Strain
1.1K
The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...
1.1K
01:14Normal and Shear Force
3.1K
When a beam is subjected to different loads, such as weight, pressure, or other external forces, internal forces are generated within the beam. These forces can have a significant impact on the overall stability and strength of the structure. Engineers use various methods to analyze and determine the magnitude and direction of these internal forces. One common technique used to determine internal forces in beams is the method of sections. This method involves considering an imaginary point or...
3.1K
01:19Shearing Stress
1.6K
Shearing stress, denoted by the Greek letter tau (τ), is stress caused by forces acting transversely on an object. These forces create internal ones within the entity in the plane where the external forces are applied. The resultant of these internal forces is the shear in the section.
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.
The average shearing stress can be calculated by dividing the shear by the area of the cross-section.
1.6K
01:15Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
479
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.
479
01:22Generalized Hooke's Law
2.5K
The generalized Hooke's Law is a broadened version of Hooke's Law, which extends to all types of stress and in every direction. Consider an isotropic material shaped into a cube subjected to multiaxial loading. In this scenario, normal stresses are exerted along the three coordinate axes. As a result of these stresses, the cubic shape deforms into a rectangular parallelepiped. Despite this deformation, the new shape maintains equal sides, and there is a normal strain in the direction of the...
2.5K