A kinematic comparison of meshfree and mesh-based Lagrangian approximations using manufactured extreme deformation fields

Journal Article · 27 June 2019 · Computational Particle Mechanics

DOI: https://doi.org/10.1007/s40571-019-00256-x · OSTI ID:1542139

Bishop, Joseph E.  ^[1]

---

1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Meshfree methods for solid mechanics have been in development since the early 1990's. Initial motivations included alleviation of the burden of mesh creation and the desire to overcome the limitations of traditional mesh-based discretizations for extreme deformation applications. Here, the accuracy and robustness of both mesh-free and meshbased Lagrangian discretizations are compared using manufactured extreme-deformation fields. For the meshfree discretizations, both moving least squares and maximum entropy are considered. Quantitative error and convergence results are presented for the best approximation in the H¹ norm.

• Research Organization: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• Grant/Contract Number: AC04-94AL85000; NA0003525
• OSTI ID: 1542139
• Report Number(s): SAND--2019-7686J; 677125
• Journal Information: Computational Particle Mechanics, Journal Name: Computational Particle Mechanics Vol. 7; ISSN 2196-4378
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English