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Lagrangian methods for ballistic impact simulations/

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dc.contributor.advisor Raúl A. Radovitzky. en_US Tupek, Michael Ronne en_US
dc.contributor.other Massachusetts Institute of Technology. Computation for Design and Optimization Program. en_US 2012-02-24T20:53:07Z 2012-02-24T20:53:07Z 2010 en_US 2010 en_US
dc.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. en_US
dc.description Cataloged from PDF version of thesis. en_US
dc.description Includes bibliographical references (p. 85-92). en_US
dc.description.abstract 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. en_US
dc.description.statementofresponsibility by Michael Ronne Tupek. en_US
dc.format.extent 92 p. en_US
dc.language.iso eng en_US
dc.publisher Massachusetts Institute of Technology en_US
dc.rights 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. en_US
dc.rights.uri en_US
dc.subject Mechanical Engineering. en_US
dc.subject Computation for Design and Optimization Program. en_US
dc.title Lagrangian methods for ballistic impact simulations/ en_US
dc.type Thesis en_US S.M. en_US
dc.contributor.department Massachusetts Institute of Technology. Dept. of Mechanical Engineering. en_US
dc.contributor.department Massachusetts Institute of Technology. Computation for Design and Optimization Program. en_US
dc.identifier.oclc 712141924 en_US

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