Show simple item record

dc.contributor.advisorMartin, P. A.
dc.contributor.authorFloyd, Christopher L.
dc.date.accessioned2007-01-03T04:18:44Z
dc.date.accessioned2022-02-03T11:52:37Z
dc.date.available2007-01-03T04:18:44Z
dc.date.available2022-02-03T11:52:37Z
dc.date.issued2012
dc.date.submitted2012
dc.identifierT 7100
dc.identifier.urihttps://hdl.handle.net/11124/76638
dc.description2012 Fall.
dc.descriptionIncludes illustrations.
dc.descriptionIncludes bibliographical references.
dc.description.abstractPenny-shaped cracks are commonly used mathematical models, generally used in the field of fracture mechanics. One specific application is the modeling of micro-structures, within elastic materials. From a purely mathematical perspective, a penny-shaped crack can be described as a flat, disk-shaped crack. In this work, we consider the buried penny-shaped crack problem, consisting of a single crack, buried below the surface of a half-space. Specifically, the flat surface of the crack is taken to be parallel to the boundary, and the radius of the crack is held constant. The primary point of interest in this problem is the depth dependence of the stress intensity factor, which characterizes the fracture conditions near the tip of the crack. Determining the stress intensity factor for this problem is reduced to solving a pair of dual integral equations, specifically looking at these equations evaluated at the upper bound of integration. These equations were amenable to numerical solution, where the distance between the crack and the boundary was allowed to become small. The values of these equations, at the upper bound of integration, both tend toward 0. Based on the numerical results, the stress intensity factors for this problem were dependent on the depth at which the penny-shaped crack is buried.
dc.format.mediumborn digital
dc.format.mediummasters theses
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado School of Mines. Arthur Lakes Library
dc.relation.ispartof2010-2019 - Mines Theses & Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.subjectreflection seismology
dc.subjectvelocity estimation
dc.subjectleast squares
dc.subjectwaveform inversion
dc.subjecttraveltime inversion
dc.subject.lcshFracture mechanics
dc.subject.lcshStrains and stresses--Mathematical models
dc.titleBuried penny-shaped cracks
dc.typeText
dc.contributor.committeememberCollis, Jon M.
dc.contributor.committeememberAhrens, Cory
thesis.degree.nameMaster of Science (M.S.)
thesis.degree.levelMasters
thesis.degree.disciplineApplied Mathematics and Statistics
thesis.degree.grantorColorado School of Mines


Files in this item

Thumbnail
Name:
Floyd_mines_0052N_10018.pdf
Size:
399.7Kb
Format:
PDF
Description:
Buried penny-shaped cracks

This item appears in the following Collection(s)

Show simple item record