Modeling shockwaves and impact phenomena with Eulerian peridynamics
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- The Boeing Company, Seattle, WA (United States)
Most previous development of the peridynamic theory has assumed a Lagrangian formulation, in which the material model refers to an undeformed reference configuration. Here, 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. We show 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. Furthermore, we demonstrate this capability in numerical simulation of bird strike against an aircraft, in which both tensile fracture and high pressure response are important.
- Research Organization:
- Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- Grant/Contract Number:
- AC04-94AL85000
- OSTI ID:
- 1360930
- Alternate ID(s):
- OSTI ID: 1398102
- Report Number(s):
- SAND--2017-5347J; {"Journal ID: ISSN 0734-743X","PII: S0734743X16308934"}
- Journal Information:
- International Journal of Impact Engineering, Journal Name: International Journal of Impact Engineering Journal Issue: C Vol. 107; ISSN 0734-743X
- Publisher:
- ElsevierCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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