Hamilton's equations with Euler parameters for hybrid particle-finite element simulation of hypervelocity impact

dc.contributor.advisorFahrenthold, Eric P.en
dc.creatorShivarama, Ravishankar Ajjanagaddeen
dc.date.accessioned2008-08-28T22:10:25Zen
dc.date.available2008-08-28T22:10:25Zen
dc.date.issued2002en
dc.description.abstractHypervelocity impact studies (impact velocities > 1 km/sec) encompass a wide range of applications including development of anti-terrorist defense and orbital debris shield for the International Space Station (ISS). The focus of this work is on the development of a hybrid particle-finite element method for orbital debris shield simulations. The problem is characterized by finite strain kinematics, strong energy domain coupling, contact-impact, shock wave propagation and history dependent material damage effects. A novel hybrid particle finite element method based on Hamilton’s equations is presented. The model discretizes the continuum of interest simultaneously (but not redundantly) into particles and finite elements. The particles are ellipsoidal in shape and can translate and rotate in three dimensional space. Rotation is described using Euler parameters. Volumetric and contact impact effects are modeled using particles, while strength is modeled using conventional Lagrangian finite elements. The model is general enough to accommodate a wide range of material models and equations of state.
dc.description.departmentMechanical Engineeringen
dc.format.mediumelectronicen
dc.identifierb59973948en
dc.identifier.oclc61503012en
dc.identifier.proqst3108510en
dc.identifier.urihttp://hdl.handle.net/2152/1655en
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshImpact--Mathematical modelsen
dc.subject.lcshFinite element methoden
dc.subject.lcshHamiltonian systemsen
dc.subject.lcshLagrange equationsen
dc.titleHamilton's equations with Euler parameters for hybrid particle-finite element simulation of hypervelocity impacten
dc.type.genreThesisen
thesis.degree.departmentMechanical Engineeringen
thesis.degree.disciplineMechanical Engineering.en
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen

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