Simulation of high speed impact, penetration and fragmentation problems on locally refined Cartesian grids

Sambasivan, Shiv Kumar; Kapahi, Anil; Udaykumar, H. S.

doi:10.1016/j.jcp.2012.10.031

Cited by 57 publications

(59 citation statements)

References 49 publications

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“…The extension of a flow field quantity ψ into the ghost region requires the reconstruction of the field in the “real” material. This reconstruction procedure uses a least‐squares approach that can treat arbitrary interface shapes and robustly handles small fragments . Once the ghost values at the points immediately adjacent to the interface are obtained, the field is extended into the narrow level‐set band enclosing the interface to obtain a band of ghost values; further details on the overall procedure can be found in previous works .…”

Section: Methodsmentioning

confidence: 99%

Modeling impact‐induced damage and debonding using level sets in a sharp interface Eulerian framework

Brauer

Kumar

Nixon

et al. 2018

Numerical Meth Engineering

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Summary This work presents a level‐set–based sharp interface technique to simulate the evolution of damage in ductile materials under high velocity impact conditions. The level‐set method is adopted to track all interfaces including damage zones within the materials. Two types of damage are considered, ie, the creation of spall zones due to damage accumulation in homogeneous ductile materials and interfacial debonding in heterogeneous materials. Spall is simulated using continuum damage models and a level‐set–based crack generation and evolution algorithm. Three continuum damage models are tested for metal targets subjected to flyer impact; the results from the current code (SCIMITAR3D) are compared with the two widely used computer codes EPIC and CTH, and to experimental data; it is found that the computer codes are in good agreement among each other, but agreement of all methods with experimental data is not uniform. At material interfaces, damage is handled using a cohesive zone model and evolving level sets to create void spaces because of material separation due to debonding. Finally, ductile damage combined with debonding is simulated in an Al‐Ni laminate impacted by a projectile. The results demonstrate the ability of the present approach to simulate various types of damage in materials with heterogeneities and inclusions.

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Section: Methodsmentioning

confidence: 99%

Modeling impact‐induced damage and debonding using level sets in a sharp interface Eulerian framework

Brauer

Kumar

Nixon

et al. 2018

Numerical Meth Engineering

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“…The governing equations and the description of the computational framework used in the current framework have been discussed in detail in previous work . A brief description of the computing methodology is presented here for the sake of completeness.…”

Section: Governing Equationsmentioning

confidence: 99%

“…The use of GFM to handle boundary conditions helps to create independent velocity fields in each material, and frictionless sliding can be handled by coupling these fields at the interacting interfaces. In this framework, much like in the explicitly tracked Lagrangian contact formulations, separation between the materials occurs as a natural process of deformation ; that is, separation is not enforced by introducing a void phase in a mixed material but occurs simply as the consequence of evolving the sharp interfaces. This algorithm is purely local in implementation and can be used in a parallel computing framework and can be easily extended to three dimensions.…”

Section: Introductionmentioning

confidence: 99%

Treatment of contact separation in Eulerian high-speed multimaterial dynamic simulations

Kapahi

Udaykumar

2014

Int. J. Numer. Meth. Engng

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SUMMARYA frictionless contact separation treatment in a sharp-interface Eulerian framework is presented to handle the general situation of high-speed impact and separation of materials. The algorithm has been developed for an established Eulerian-based Cartesian grid multimaterial flow code in which the interfaces are tracked in a sharp manner using a standard narrow-band level set approach. Boundary conditions have been applied using a modified ghost fluid method for elasto-plastic materials. The sharp-interface treatment maintains the distinct interacting interfaces without smearing the contact zone while also removing the difficulties associated with Lagrangian moving mesh entities in contact-separation situations. The algorithm has been tested and verified against experimental and numerical results for three different problems in the high strain rate regime, which involve contact, separation and sliding of materials.

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“…Both Lagrangian and Eulerian frameworks have been identified with certain advantages and limitations and take different paths in formulating large deformation problems [4,7,8]. Flow solvers based on a Lagrangian formulation, such as in EPIC [9] and LS-DYNA [10], have the material interface attached to the mesh, which is used to follow the deformation.…”

Section: Introductionmentioning

confidence: 99%

“…Those based on an Eulerian formulation, such as HULL [11] and CTH [12], use a fixed mesh and the deformed material flows through the mesh. The Lagrangian methods have to contend with mesh entanglement and the burden of mesh management encountered frequently in large deformation problems making them cumbersome to handle [4,8]. On the other hand, Eulerian methods, which use level sets and ghost fluid approaches, have issues of mass conservation resulting in loss/gain of mass of material while undergoing large deformation [6,13,14,15,16].…”

Section: Introductionmentioning

confidence: 99%

A multi-material flow solver for high speed compressible flows

2015

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This paper describes a three-dimensional Eulerian-Lagrangian method for the modeling and simulation of high-speed multi-material dynamics. The equations for conservation of mass, momentum, and energy are solved on a fixed Cartesian grid using a fully conservative higher order MUSCL scheme. The dilatational response of each material is handled using a suitable equation of state. The embedded interfaces are handled using a mixed-cell approach. This approach uses an Eulerian treatment for the computational cells away from the interface and a Lagrangian treatment for the cells including interface elements, resulting in a fully conservative method for multi-material interactions. The method has shown capability to resolve and capture non-linear waves such as shock waves, rarefaction waves, and contact discontinuities in complex geometries. This work mainly emphasizes the handling of shockwave interaction with bubbles, bubbly media, and multi-fluid interfaces in a compressible flow framework. Several numerical examples are shown to demonstrate the validity and robustness of the method.

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Simulation of high speed impact, penetration and fragmentation problems on locally refined Cartesian grids

Cited by 57 publications

References 49 publications

Modeling impact‐induced damage and debonding using level sets in a sharp interface Eulerian framework

Modeling impact‐induced damage and debonding using level sets in a sharp interface Eulerian framework

Treatment of contact separation in Eulerian high-speed multimaterial dynamic simulations

A multi-material flow solver for high speed compressible flows

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