Nonlinear Finite Element Analysis of γ-Graphyne Structures under Shearing.
Sotirios G Siampanis1,2, Georgios I Giannopoulos3, Nikos D Lagaros4
1Department of Aerospace Science and Technology, National and Kapodistrian University of Athens, 34400 Psachna, Greece.
Molecules (Basel, Switzerland)
|March 10, 2022
Summary
This study predicts the nonlinear mechanical behavior of graphyne sheets under shear using a novel finite element method. Researchers analyzed four graphyne types, revealing their shear stress-strain responses and mechanical properties like shear modulus.
Area of Science:
- Materials Science and Engineering
- Computational Mechanics
- Nanotechnology
Background:
- Graphyne, a novel carbon allotrope, exhibits unique mechanical properties.
- Understanding graphyne's response to mechanical stress is crucial for its application.
- Previous studies may lack detailed nonlinear mechanical analysis under shear.
Purpose of the Study:
- To develop and apply a nonlinear finite element approach for predicting graphyne's shear behavior.
- To investigate the in-plane shear stress-strain response of four distinct graphyne structures.
- To determine key mechanical properties, including shear modulus and shear strength, for different graphyne types.
Main Methods:
- A nonlinear, spring-based finite element method was formulated using Morse potential functions.
- Numerical simulations were performed on rectangular sheets of graphyne-1, graphyne-2 (graphdiyne), graphyne-3, and graphyne-4.
- Appropriate boundary conditions simulating shear loading were applied to the graphyne models.
Main Results:
- The finite element analysis successfully predicted the nonlinear in-plane shear stress-strain behavior of the investigated graphyne structures.
- Key mechanical properties, such as shear modulus and shear strength, were calculated for each graphyne type.
- The study provides a validated computational framework for assessing graphyne's mechanical performance under shear.
Conclusions:
- The developed finite element approach accurately models the complex interatomic interactions governing graphyne's mechanical response.
- Significant variations in shear properties were observed among the different graphyne types.
- This research offers valuable insights into the mechanical characteristics of graphyne, supporting its potential use in advanced materials.
More Related Videos
Related Concept Videos
01:20Shearing Strain
683
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...
683
01:14Shearing Stresses in a Beam: Problem Solving
326
A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by...
326
01:16Shear on the Horizontal Face of a Beam Element
299
To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's...
299
01:27Shear Diagram
1.1K
In the study of beam mechanics, shear diagrams play a crucial role in understanding the distribution of shear forces along the length of a beam. Consider a beam AB that is supported at both ends and subjected to perpendicular loads.
First, a free-body diagram of the beam is drawn, representing all the external forces and internal reactions acting on the beam. One can calculate the reaction forces at each support by employing the equilibrium equations of force and moment. The vertical component...
First, a free-body diagram of the beam is drawn, representing all the external forces and internal reactions acting on the beam. One can calculate the reaction forces at each support by employing the equilibrium equations of force and moment. The vertical component...
1.1K
01:20Elastic Strain Energy for Shearing Stresses
311
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...
311
01:15Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
343
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.
343