https://github.com/edgar-mendonca/stress-from-impact-of-an-elastic-sphere-against-a-solid-rod

Deformation kinematics during the impact of a ball on a bar. This application provides a solution for Hertzian contact theory for the impact of a solid sphere against a solid bar. The solution is provided following a nonlinear differential equation governs the stress pulse created in the bar. The code is written in MATLAB. The user interface was developed using MATLAB's App Designer interface.
https://github.com/edgar-mendonca/stress-from-impact-of-an-elastic-sphere-against-a-solid-rod

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Deformation kinematics during the impact of a ball on a bar. This application provides a solution for Hertzian contact theory for the impact of a solid sphere against a solid bar. The solution is provided following a nonlinear differential equation governs the stress pulse created in the bar. The code is written in MATLAB. The user interface was developed using MATLAB's App Designer interface.

• Host: GitHub
• URL: https://github.com/edgar-mendonca/stress-from-impact-of-an-elastic-sphere-against-a-solid-rod
• Owner: Edgar-Mendonca
• Created: 2020-09-05T19:40:40.000Z (over 4 years ago)
• Default Branch: master
• Last Pushed: 2022-01-28T07:47:48.000Z (almost 3 years ago)
• Last Synced: 2023-07-10T06:29:51.857Z (over 1 year ago)
• Language: MATLAB
• Homepage:
• Size: 3.12 MB
• Stars: 3
• Watchers: 1
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# Stress from Impact of an Elastic Sphere against a Solid Rod

Deformation kinematics during the impact of a ball on a bar. This application provides a solution for Hertzian contact theory for the impact of a solid sphere against a solid bar. The solution is provided following a nonlinear differential equation governs the stress pulse created in the bar. The code is written in MATLAB. The user interface was developed using MATLAB's App Designer interface.


**Note**: Requires Symbolic Math Toolbox to Perform symbolic math computations downloadble from Matlab toolbox section.

## Nomenclature

![ballbarnom](https://user-images.githubusercontent.com/67676399/150388720-bbc97859-db05-4a5b-b21f-fa6d6bf17697.jpg)

### For Bar:

ρ = Density (kg/m3)


R = Radius of bar (m)


C = Speed of stress wave (m/s)


E1 = Young's Modulus of bar material (N/m2)


v1 = Poissons ratio of bar material


t = Charateristic time/cycle time (s)

### For Ball:

r = radius of material (m)


E2 = Young's Modulus of ball material (N/m2)


v2 = Poissons ratio of ball material


## Setup

![image](https://user-images.githubusercontent.com/67676399/149945855-c9634663-ec22-4984-9278-74819a652ee3.png)

## Version: 2.0

Last Updated: **24/7/2020**

Total Versions: **2**