Lagrangian methods for ballistic impact simulations/

Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering; and, (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2010. === Cataloged from PDF version of thesis. === Includes bibliographical references (p. 85-92). === This the...

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Main Author: Tupek, Michael Ronne
Other Authors: Raúl A. Radovitzky.
Format: Others
Language:English
Published: Massachusetts Institute of Technology 2012
Subjects:
Online Access:http://hdl.handle.net/1721.1/69216
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spelling ndltd-MIT-oai-dspace.mit.edu-1721.1-692162019-05-02T15:51:22Z Lagrangian methods for ballistic impact simulations/ Tupek, Michael Ronne Raúl A. Radovitzky. Massachusetts Institute of Technology. Computation for Design and Optimization Program. Massachusetts Institute of Technology. Dept. of Mechanical Engineering. Massachusetts Institute of Technology. Computation for Design and Optimization Program. Mechanical Engineering. Computation for Design and Optimization Program. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering; and, (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2010. Cataloged from PDF version of thesis. Includes bibliographical references (p. 85-92). This thesis explores various Lagrangian methods for simulating ballistic impact with the ultimate goal of finding a universal, robust and scalable computational framework to assist in the design of armor systems. An overview is provided of existing Lagrangian strategies including particle methods, meshless methods, and the peridynamic approach. We review the continuum formulation of mechanics and its discretization using finite elements. A rigid body contact algorithm for explicit dynamic finite elements is presented and used to model a rigid sphere impacting a confined alumina tile. The constitutive model for the alumina is provided by the Deshpande-Evans ceramic damage model. These simulations were shown to capture experimentally observed radial crack patterns. An adaptive remeshing strategy using finite elements is then explored and applied, with limited success, to the problem of predicting the transition from dwell to penetration for long-rod penetrators impacting confined ceramic targets at high velocities. Motivated by the difficulties of mesh-based Lagrangian approaches for modeling impact, an alternative Lagrangian approach is investigated which uses established constitutive relations within a particle-based computational framework. The resulting algorithm is based on a discretization of the peridynamic formulation of continuum mechanics. A validating benchmark example using a Taylor impact test is shown and compared to previous results from the literature. Further numerical examples involving ballistic impact and the crushing of an aluminum sandwich structures provide further demonstration of the method's potential for armor applications. by Michael Ronne Tupek. S.M. 2012-02-24T20:53:07Z 2012-02-24T20:53:07Z 2010 2010 Thesis http://hdl.handle.net/1721.1/69216 712141924 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 92 p. application/pdf Massachusetts Institute of Technology
collection NDLTD
language English
format Others
sources NDLTD
topic Mechanical Engineering.
Computation for Design and Optimization Program.
spellingShingle Mechanical Engineering.
Computation for Design and Optimization Program.
Tupek, Michael Ronne
Lagrangian methods for ballistic impact simulations/
description Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering; and, (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2010. === Cataloged from PDF version of thesis. === Includes bibliographical references (p. 85-92). === This thesis explores various Lagrangian methods for simulating ballistic impact with the ultimate goal of finding a universal, robust and scalable computational framework to assist in the design of armor systems. An overview is provided of existing Lagrangian strategies including particle methods, meshless methods, and the peridynamic approach. We review the continuum formulation of mechanics and its discretization using finite elements. A rigid body contact algorithm for explicit dynamic finite elements is presented and used to model a rigid sphere impacting a confined alumina tile. The constitutive model for the alumina is provided by the Deshpande-Evans ceramic damage model. These simulations were shown to capture experimentally observed radial crack patterns. An adaptive remeshing strategy using finite elements is then explored and applied, with limited success, to the problem of predicting the transition from dwell to penetration for long-rod penetrators impacting confined ceramic targets at high velocities. Motivated by the difficulties of mesh-based Lagrangian approaches for modeling impact, an alternative Lagrangian approach is investigated which uses established constitutive relations within a particle-based computational framework. The resulting algorithm is based on a discretization of the peridynamic formulation of continuum mechanics. A validating benchmark example using a Taylor impact test is shown and compared to previous results from the literature. Further numerical examples involving ballistic impact and the crushing of an aluminum sandwich structures provide further demonstration of the method's potential for armor applications. === by Michael Ronne Tupek. === S.M.
author2 Raúl A. Radovitzky.
author_facet Raúl A. Radovitzky.
Tupek, Michael Ronne
author Tupek, Michael Ronne
author_sort Tupek, Michael Ronne
title Lagrangian methods for ballistic impact simulations/
title_short Lagrangian methods for ballistic impact simulations/
title_full Lagrangian methods for ballistic impact simulations/
title_fullStr Lagrangian methods for ballistic impact simulations/
title_full_unstemmed Lagrangian methods for ballistic impact simulations/
title_sort lagrangian methods for ballistic impact simulations/
publisher Massachusetts Institute of Technology
publishDate 2012
url http://hdl.handle.net/1721.1/69216
work_keys_str_mv AT tupekmichaelronne lagrangianmethodsforballisticimpactsimulations
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