Peridynamic Theory for Progressive Failure Prediction in Homogeneous and Heterogeneous Materials

Persistent Link:
http://hdl.handle.net/10150/193658
Title:
Peridynamic Theory for Progressive Failure Prediction in Homogeneous and Heterogeneous Materials
Author:
Kilic, Bahattin
Issue Date:
2008
Publisher:
The University of Arizona.
Rights:
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.
Abstract:
The classical continuum theory is not capable of predicting failure without an external crack growth criteria and treats the interface having zero thickness. Alternatively, a nonlocal continuum theory referred to as peridynamic theory eliminates these shortcomings by utilizing formulation that uses displacements, rather than derivatives of displacements, and including material failure in its constitutive relations through the response functions. This study presents a new response function as part of the peridynamic theory to include thermal loading. Furthermore, an efficient numerical algorithm is presented for solution of peridynamic equations. Solution method relies on the discretization of peridynamic equations at collocation points resulting in a set of ordinary differential equations with respect to time. These differential equations are then integrated using explicit methods. In order to improve numerical efficiency of the computations, spatial partitioning is introduced through uniform grids as arrays of linked lists. Furthermore, the domain of interest is divided into subunits each of which is assigned to a specific processor to utilize parallel processing using OpenMP. In order to obtain the static solutions, the adaptive dynamic relaxation method is developed for the solution of peridynamic equations. Furthermore, an approach to couple peridynamic theory and finite element analysis is introduced to take advantage of their salient features. The regions in which failure is expected are modeled using peridynamics while the remaining regions are modeled utilizing finite element method. Finally, the present solution method is utilized for damage prediction of many problems subjected to mechanical, thermal and buckling loads.
Type:
text; Electronic Dissertation
Keywords:
collocation method; nonlocal; peridynamic theory; peridynamics; progressive failure; thermo-mechanical loading
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Mechanical Engineering; Graduate College
Degree Grantor:
University of Arizona
Advisor:
Madenci, Erdogan
Committee Chair:
Madenci, Erdogan

Full metadata record

DC FieldValue Language
dc.language.isoENen_US
dc.titlePeridynamic Theory for Progressive Failure Prediction in Homogeneous and Heterogeneous Materialsen_US
dc.creatorKilic, Bahattinen_US
dc.contributor.authorKilic, Bahattinen_US
dc.date.issued2008en_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.description.abstractThe classical continuum theory is not capable of predicting failure without an external crack growth criteria and treats the interface having zero thickness. Alternatively, a nonlocal continuum theory referred to as peridynamic theory eliminates these shortcomings by utilizing formulation that uses displacements, rather than derivatives of displacements, and including material failure in its constitutive relations through the response functions. This study presents a new response function as part of the peridynamic theory to include thermal loading. Furthermore, an efficient numerical algorithm is presented for solution of peridynamic equations. Solution method relies on the discretization of peridynamic equations at collocation points resulting in a set of ordinary differential equations with respect to time. These differential equations are then integrated using explicit methods. In order to improve numerical efficiency of the computations, spatial partitioning is introduced through uniform grids as arrays of linked lists. Furthermore, the domain of interest is divided into subunits each of which is assigned to a specific processor to utilize parallel processing using OpenMP. In order to obtain the static solutions, the adaptive dynamic relaxation method is developed for the solution of peridynamic equations. Furthermore, an approach to couple peridynamic theory and finite element analysis is introduced to take advantage of their salient features. The regions in which failure is expected are modeled using peridynamics while the remaining regions are modeled utilizing finite element method. Finally, the present solution method is utilized for damage prediction of many problems subjected to mechanical, thermal and buckling loads.en_US
dc.typetexten_US
dc.typeElectronic Dissertationen_US
dc.subjectcollocation methoden_US
dc.subjectnonlocalen_US
dc.subjectperidynamic theoryen_US
dc.subjectperidynamicsen_US
dc.subjectprogressive failureen_US
dc.subjectthermo-mechanical loadingen_US
thesis.degree.namePh.D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.disciplineMechanical Engineeringen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.grantorUniversity of Arizonaen_US
dc.contributor.advisorMadenci, Erdoganen_US
dc.contributor.chairMadenci, Erdoganen_US
dc.contributor.committeememberDeymier, Pierre A.en_US
dc.contributor.committeememberCorrales, Louis R.en_US
dc.contributor.committeememberSilling, Steward A.en_US
dc.contributor.committeememberTessler, Alexanderen_US
dc.identifier.proquest10009en_US
dc.identifier.oclc659750588en_US
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