Abstract
A finite element formulation for a non-local particle method is proposed in this paper for elasticity and fracture analysis of 2D solids. The model is based on a new particle method which incorporates a non-local multi-body particle interaction into the conventional pair-wise particle interactions. The non-local particle method is capable of modeling solids with arbitrary Poissons ratio. Finite element formulation is proposed for the implicit solution of elasticity and fracture problems under static/quasi-static conditions, which is very efficient compared to the direct explicit solution in particle dynamics. Energy minimization principle is used to develop a new finite element with both local pair-wise and non-local multi-body particle interactions. The developed finite element formulation is verified with classical finite element simulation of some benchmark problems. Fracture simulation using the proposed particle-based finite element formulation is demonstrated. Some conclusions and future work is drawn based on the current investigation.
| Original language | English |
|---|---|
| Pages (from-to) | 1-11 |
| Number of pages | 11 |
| Journal | Finite Elements in Analysis and Design |
| Volume | 93 |
| Issue number | C |
| DOIs | |
| State | Published - Jan 1 2015 |
Bibliographical note
Publisher Copyright:© 2014 Elsevier B.V. All rights reserved.
Keywords
- Elasticity
- Finite element
- Fracture
- Particle method
- Poissons ratio
ASJC Scopus subject areas
- Analysis
- General Engineering
- Computer Graphics and Computer-Aided Design
- Applied Mathematics