Related Experiment Video
Updated: Jun 28, 2026

06:07
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
Published on: April 25, 2019
Semisoft elastic response of nematic elastomers to complex deformations
J S Biggins1, E M Terentjev, M Warner
1Cavendish Laboratory, Madingley Road, Cambridge, CB3 0HE, United Kingdom.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2008
Summary
This study on semisoft elastomers reveals kinks in stress-strain curves and shear modulus zeros during director rotation. These findings offer a robust method for testing theories of elastomer behavior.
Area of Science:
- Materials Science
- Polymer Physics
- Continuum Mechanics
Background:
- Semisoft elastomers exhibit unique mechanical properties influenced by director orientation.
- Large stretches can induce director rotation, affecting material response.
- Understanding these phenomena is crucial for predicting elastomer behavior under complex loading conditions.
Purpose of the Study:
- To investigate the relationship between director rotation and mechanical responses in semisoft elastomers.
- To identify characteristic features in stress-strain curves and shear modulus during director rotation.
- To propose a theoretical framework for testing semisoft elastomer models.
Main Methods:
- Theoretical analysis of a relaxed semisoft elastomer subjected to large stretch and shear.
- Derivation of analytical forms for shear modulus (C5) as a function of strain.
- Comparison of theoretical predictions with existing stress-strain data.
Main Results:
- Predicted kinks in the stress-large strain curve (stress-strain plateau) during director rotation.
- Predicted zeros in the x-z shear modulus (C5) at the onset and end of director rotation.
- Analytical forms for C5-strain curves derived for a compositional fluctuations model.
Conclusions:
- The observed kinks and modulus zeros provide a strong basis for testing theories of semisoft elastomers.
- The compositional fluctuations model yields a general form for quadratic free energy.
- Further development of models incorporating additional directional dependencies is possible.
Related Concept Videos
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.
As the bending moment...
As the bending moment...
Elasticity in Concrete
Upon subjecting concrete to moderate or high uniaxial compressive or tensile stresses, the strain response is non-linear relative to the stress applied. As the stress is removed, the resulting stress-strain curve deviates from the original path traced during loading, creating a hysteresis loop, indicative of the concrete's non-linear and non-elastic properties. Typically, a material's modulus of elasticity, which is a measure of the material's stiffness, is inferred from the linear portion of...
Residual Stresses in Bending
In the study of elastoplastic members subjected to bending moments, understanding the loading and unloading phases is crucial for assessing material behavior and structural integrity. During the loading phase, as the bending moment increases, the material initially responds elastically, adhering to Hooke's Law, where stress is directly proportional to strain. When the load exceeds the yield strength, plastic deformation occurs, resulting in permanent strain and deformation that remains even...
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...
The elasticity of an object can be described by a stress-strain curve, which represents the relationship between stress...
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.
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.

