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Related Concept Videos

Generalized Hooke's Law01:22

Generalized Hooke's Law

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...
Hooke's Law01:26

Hooke's Law

Hooke's law, a pivotal principle in material science, establishes that the strain a material undergoes is directly proportional to the applied stress, defined by a factor called the modulus of elasticity or Young's modulus.
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.
Determination of Molar Masses of Polymers II01:27

Determination of Molar Masses of Polymers II

Polymer samples typically consist of macromolecular chains with a distribution of lengths, resulting in a range of molar masses rather than a single discrete value. Conventional descriptors such as the number-average molar mass and weight-average molar mass quantify this distribution but do not fully capture polymer behavior in solution..The viscosity-average molar mass provides a more realistic description of polymer behavior in solution because it accounts for the enhanced contribution of...
Shearing Strain01:20

Shearing Strain

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...
Polymers: Molecular Weight Distribution01:10

Polymers: Molecular Weight Distribution

For any given polymer, the weight average molecular weight (Mw) is higher than, if not equal to, the number average molecular weight (Mn). The only situation in which the weight average molecular weight and the number average molecular weight are equal is when a polymer consists only of chains with equal molecular weight. However, this never happens in a synthetic polymer, since it is difficult to control the polymerization process up to a molecular level with accuracy to a hundred percent.

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Related Experiment Video

Updated: May 30, 2026

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

Anisotropic mobility model for polymers under shear and its linear response functions.

Takashi Uneyama1, Kazushi Horio, Hiroshi Watanabe

  • 1JST-CREST and Institute for Chemical Research, Kyoto University, Gokasho, Uji, Kyoto, Japan. uneyama@scl.kyoto-u.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 30, 2011
PubMed
Summary

We developed a polymer dynamics model under shear, showing it captures essential behaviors like viscosity and relaxation. This anisotropic mobility model aligns with experimental findings and other theories.

Related Experiment Videos

Last Updated: May 30, 2026

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

Area of Science:

  • Polymer Physics
  • Rheology
  • Soft Matter Science

Background:

  • Understanding polymer dynamics under shear is crucial for material science.
  • Existing models may not fully capture the anisotropic nature of polymer motion.

Purpose of the Study:

  • To introduce a simple dynamic model for polymers experiencing shear flow.
  • To investigate the shear viscosity, rheo-dielectric response, and relaxation modulus using this model.

Main Methods:

  • Developed a dynamic model incorporating an anisotropic mobility tensor.
  • Applied nonequilibrium linear response theories to calculate response functions.
  • Compared model predictions with experimental data and existing theories.

Main Results:

  • The model qualitatively reproduces essential dynamical behaviors of polymers under shear.
  • Calculated shear viscosity, rheo-dielectric response, and parallel relaxation modulus.
  • Demonstrated qualitative consistency with experimental results.

Conclusions:

  • The proposed anisotropic mobility model effectively captures key polymer dynamics under shear.
  • The model provides a valuable framework for understanding polymer rheology.
  • Further comparisons with theories like convective constraint release are warranted.