Modeling shockwaves and impact phenomena with Eulerian peridynamics

Stewart A. Silling, Michael L. Parks, James R. Kamm, Olaf Weckner, Mostafa Rassaian

Research output: Contribution to journalArticlepeer-review

71 Scopus citations

Abstract

Most previous development of the peridynamic theory has assumed a Lagrangian formulation, in which the material model refers to an undeformed reference configuration. In the present work, an Eulerian form of material modeling is developed, in which bond forces depend only on the positions of material points in the deformed configuration. The formulation is consistent with the thermodynamic form of the peridynamic model and is derivable from a suitable expression for the free energy of a material. It is shown that the resulting formulation of peridynamic material models can be used to simulate strong shock waves and fluid response in which very large deformations make the Lagrangian form unsuitable. The Eulerian capability is demonstrated in numerical simulations of ejecta from a wavy free surface on a metal subjected to strong shock wave loading. The Eulerian and Lagrangian contributions to bond force can be combined in a single material model, allowing strength and fracture under tensile or shear loading to be modeled consistently with high compressive stresses. This capability is demonstrated in numerical simulation of bird strike against an aircraft, in which both tensile fracture and high pressure response are important.

Original languageEnglish
Pages (from-to)47-57
Number of pages11
JournalInternational Journal of Impact Engineering
Volume107
DOIs
StatePublished - Sep 1 2017
Externally publishedYes

Funding

The authors gratefully acknowledge permission to use the data and results of Dr. Gerardo Olivares, National Institute for Aviation Research. Sandia National Laboratories is a multi-program laboratory operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-AC04-94AL85000. Work performed at Sandia was supported by Boeing Research and Technology through CRADA SC02/01651, by the Joint DOE/DoD Munitions Program, and through a Sandia LDRD program.

FundersFunder number
Boeing Research and TechnologyCRADA SC02/01651
U.S. Department of Energy
Lockheed Martin Corporation
National Nuclear Security AdministrationDE-AC04-94AL85000

    Keywords

    • Birdstrike
    • Nonlocal
    • Peridynamic
    • Shockwave
    • Spall

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