Next Article in Journal
Tensor-Based Semantically-Aware Topic Clustering of Biomedical Documents
Previous Article in Journal
Anomalous Diffusion within the Transcriptome as a Bio-Inspired Computing Framework for Resilience
Article Menu

Export Article

Open AccessArticle
Computation 2017, 5(3), 33;

A Discrete Approach to Meshless Lagrangian Solid Modeling

Naval Air Warfare Center Aircraft Division, Joint-Base McGuire-Dix-Lakehurst, Lakehurst, NJ 08733, USA
Received: 13 June 2017 / Revised: 7 July 2017 / Accepted: 13 July 2017 / Published: 17 July 2017
(This article belongs to the Section Computational Engineering)
Full-Text   |   PDF [12608 KB, uploaded 19 July 2017]   |  


The author demonstrates a stable Lagrangian solid modeling method, tracking the interactions of solid mass particles rather than using a meshed grid. This numerical method avoids the problem of tensile instability often seen with smooth particle applied mechanics by having the solid particles apply stresses expected with Hooke’s law, as opposed to using a smoothing function for neighboring solid particles. This method has been tested successfully with a bar in tension, compression, and shear, as well as a disk compressed into a flat plate, and the numerical model consistently matched the analytical Hooke’s law as well as Hertz contact theory for all examples. The solid modeling numerical method was then built into a 2-D model of a pressure vessel, which was tested with liquid water particles under pressure and simulated with smoothed particle hydrodynamics. This simulation was stable, and demonstrated the feasibility of Lagrangian specification modeling for fluid–solid interactions. View Full-Text
Keywords: lagrangian, continuum mechanics, solid modeling, smoothing function, SPAM, SPH lagrangian, continuum mechanics, solid modeling, smoothing function, SPAM, SPH

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Supplementary material


Share & Cite This Article

MDPI and ACS Style

Marko, M. A Discrete Approach to Meshless Lagrangian Solid Modeling. Computation 2017, 5, 33.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Computation EISSN 2079-3197 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top