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Three-dimensional finite-deformation multiscale modeling of elasto-viscoplastic open-cell foams in the dynamic regime
Descriptive
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Title
Three-dimensional finite-deformation multiscale modeling of elasto-viscoplastic open-cell foams in the dynamic regime
Name
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Romero
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Pedro A.
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Pedro A. Romero
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author
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Cuitiño
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Alberto
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Advisory Committee
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Alberto M. Cuitiño
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chair
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Dill
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Ellis
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Advisory Committee
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Ellis H. Dill
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internal member
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Norris
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Andrew
Affiliation
Advisory Committee
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Andrew N. Norris
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(authority = RULIB)
internal member
Name
(ID = NAME005);
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NamePart
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Soboyejo
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Winston
Affiliation
Advisory Committee
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Winston O. Soboyejo
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outside member
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Rutgers University
Role
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degree grantor
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Graduate School - New Brunswick
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theses
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2008
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2008-05
Language
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English
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electronic
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application/pdf
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xviii, 130 pages
Abstract
Cellular materials such as metallic and polymeric open-cell foams resemble a labyrinth of interconnected struts surrounded by air-filled voids however a closer inspection reveals a periodicity where a particular unit cell is repeated throughout a lattice inside a matrix of air. Depending on the loading rate and the specifics of the cellular topology and the material properties of the solid phase, the different stages of deformation can involve elasticity, plasticity, fracture, viscoelasticiy, thermoelasticity, strain rate effects, density (microinertia) etc. This dissertation contributes an approach for modeling dynamically loaded open-cell foam materials where the structure is mimicked with the replication of a periodic unit cell composed of a four ligament tetrahedron inside a dual tetrakaidecahedron volume element. Formulation of the Lagrangian for a representative unit cell comprising an imposed macroscopic deformation and enforcement of the principle of minimum action for dissipative systems results in a relation between the globally applied macroscopic deformation and the motion of the internal unit cell vertex, which uniquely defines the kinematic state of each cell and the effective stress state. By maintaining the history of local non-affine motion and the global affine deformation, the model is able to capture the microinertial and viscous effects important during dynamic loading of open-cell foams. The micromechanical formulation is used to predict the dynamic compressive uniaxial response of polymeric (visco-elastic) and metallic (elasto-plastic) open-cell foams for different loading rates and structural and material properties gauging the effects of strain rate, viscosity, plasticity and microinertia. The predictions capture the experimentally observed effects namely that as the strain rate increases the foam strength increases and that this effects are more pronounced for more viscous or more massive foams. The micromechanical alone provides the effective foam response in a numerically efficient manner allowing the user to probe a wide range of material properties and cellular dimensions in a short amount of time. However in order to predict the full field, full range response of an open-cell foam specimen, it is necessary to implement the micromechanical model as a constitutive update into implicit and/or explicit nonlinear dynamic finite element analysis FEA schemes. The FEA simulations clearly capture the experimentally observed signature response with the different stages including the heterogeneous bands of deformation during dynamic compression of cellular materials.
Note
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Ph.D.
Note
(type = bibliography)
Includes bibliographical references (p. 121-129).
Subject
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Topic
Mechanical and Aerospace Engineering
Subject
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Topic
Deformations (Mechanics)
Subject
(ID = SUBJ3);
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Topic
Viscoplasticity
Subject
(ID = SUBJ4);
(authority = ETD-LCSH)
Topic
Foamed materials
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Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier
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rucore19991600001
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http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.17091
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ETD_980
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NjNbRU
Identifier
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doi:10.7282/T39887DZ
Genre
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ETD doctoral
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Rights
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The author owns the copyright to this work.
Copyright
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Copyright protected
Availability
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Open
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Name
Pedro Romero
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Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
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Permission or license
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Non-exclusive ETD license
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Author Agreement License
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I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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