Publication Date: 2023/06/08
Abstract: 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
DOI: https://doi.org/10.5281/zenodo.8042289
PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT23MAY1897_(1).pdf
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