Computation of Three-Dimensional Linear Elasticity Problem using Mesh and Mesh-free Particle Modelling Techniques


Authors : Adamu Musa Mohammed; Abdulrahman A. Abdulrasheed; Usman Dadum Hamza

Volume/Issue : Volume 8 - 2023, Issue 5 - May

Google Scholar : https://bit.ly/3TmGbDi

Scribd : https://t.ly/1FMMy

DOI : https://doi.org/10.5281/zenodo.8042289

Mathematical models, which have already become essential tools in modern engineering, can be used to forecast and simulate the multi physical behaviour of various engineering systems and problems, whether in their simpler or complex forms. In this work, a linear elasticity problem involving a rectangular geometry of a wooden bar with an imposed load at one end and fixed at the other end was simultaneously solved by mesh and mesh-free particle methods. Elmer, a finite element program, was utilized for the mesh-based method, whereas Lattice Spring Model was used for the particle method. In the mesh-based technique, a Poisson's ratio of 0.37 was typically used. Comparatively, the Poisson's ratio for a lattice spring was discovered to always be 0.25 when using the particle technique, which is consistent with earlier findings in the literature. A numerical comparison of the data reveals that, despite the two methods' differing Poisson's ratios, they provide results that are very similar. In fact, the resulting stresses are only partially dependent on the Poisson’s ratio. When, in the mesh-based method, the Poisson ratio is changed to 0.25, the values for the maximum stress are only slightly lower than those for 0.37.

Keywords : Mesh; Mesh-free; Modeling; Elasticity; Young Modulus; Poisson’s ratio; Elmer; LSM; LAMMPS. Particlebased modelling technique

CALL FOR PAPERS


Paper Submission Last Date
31 - March - 2024

Paper Review Notification
In 1-2 Days

Paper Publishing
In 2-3 Days

Video Explanation for Published paper

Never miss an update from Papermashup

Get notified about the latest tutorials and downloads.

Subscribe by Email

Get alerts directly into your inbox after each post and stay updated.
Subscribe
OR

Subscribe by RSS

Add our RSS to your feedreader to get regular updates from us.
Subscribe