Related Experiment Video
Updated: Jun 23, 2026
09:38
Strain Sensing Based on Multiscale Composite Materials Reinforced with Graphene Nanoplatelets
Published on: November 7, 2016
Effective elastic mechanical properties of single layer graphene sheets
F Scarpa1, S Adhikari, A Srikantha Phani
1Department of Aerospace Engineering, University of Bristol, Bristol, UK. f.scarpa@bris.ac.uk
Nanotechnology
|May 7, 2009
Summary
New models reveal the elastic properties of single-layer graphene sheets (SLGS). This research offers insights into graphene
Area of Science:
- Materials Science
- Solid Mechanics
- Nanotechnology
Background:
- Single-layer graphene sheets (SLGS) exhibit unique mechanical properties, driving extensive research.
- Existing models for SLGS elastic moduli often use Euler-Bernoulli beam assumptions, limiting accuracy.
- Diverse calculation methods yield varied results for graphene's effective properties.
Purpose of the Study:
- To develop novel truss-type analytical models for SLGS in-plane linear elastic properties.
- To apply cellular material mechanics theory for a more comprehensive understanding of SLGS.
- To derive closed-form expressions for Young's modulus, shear modulus, and Poisson's ratio.
Main Methods:
- Proposed truss-type analytical models based on cellular material mechanics.
- Representing C-C bonds as equivalent mechanical beams with comprehensive deformation mechanisms.
- Deriving closed-form expressions for elastic moduli and Poisson's ratio.
- Validation through finite element simulations and comparison with literature values.
Main Results:
- Developed closed-form expressions for Young's modulus, shear modulus, and Poisson's ratio of SLGS.
- Provided quantitative data and mechanistic insights into SLGS deformation under uniaxial and shear loading.
- Analytical and numerical results show good agreement with existing literature values.
- Identified peculiar auxetic behavior in C-C bonds of SLGS under pure shear loading.
Conclusions:
- The proposed cellular material mechanics models accurately describe SLGS in-plane elastic properties.
- The models offer valuable insights into deformation mechanisms and effective properties.
- The identified auxetic behavior under shear loading warrants further investigation for potential applications.
Related Concept Videos
01:15Strain and Elastic Modulus
The quantity that describes the deformation of a body under stress is known as strain. Strain is given as a fractional change in either length, volume, or geometry under tensile, volume (also known as bulk), or shear stress, respectively, and is a dimensionless quantity. The strain experienced by a body under tensile or compressive stress is called tensile or compressive strain, respectively. In contrast, the strain experienced under bulk stress and shear stress is known as volume and shear...
01:26Hooke'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.
01:20Elastic Strain Energy for Shearing Stresses
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...
01:20Shearing 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...
01:20Strain-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...
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...
01:22Generalized 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...