Finite Element Simulations of Two Dimensional Peridynamic Models

dc.contributor.authorGlaws, Andrew Tayloren
dc.contributor.committeechairBorggaard, Jeffrey T.en
dc.contributor.committeememberZietsman, Lizetteen
dc.contributor.committeememberLin, Taoen
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-05-28T08:00:14Zen
dc.date.available2014-05-28T08:00:14Zen
dc.date.issued2014-05-27en
dc.description.abstractThis thesis explores the science of solid mechanics via the theory of peridynamics. Peridynamics has several key advantages over the classical theory of elasticity. The most notable of which is the ease with which fractures in the the material are handled. The goal here is to study the two theories and how they relate for problems in which the classical method is known to work well. While it is known that state-based peridynamic models agree with classical elasticity as the horizon radius vanishes, similar results for bond-based models have yet to be developed. In this study, we use numerical simulations to investigate the behavior of bond-based peridynamic models under this limit for a number of cases where analytic solutions of the classical elasticity problem are known. To carry out this study, the integral-based peridynamic model is solved using the finite element method in two dimensions and compared against solutions using the classical approach.en
dc.description.degreeMaster of Scienceen
dc.format.mediumETDen
dc.identifier.othervt_gsexam:3178en
dc.identifier.urihttp://hdl.handle.net/10919/48121en
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectPeridynamicsen
dc.subjectElasticityen
dc.subjectSolid Mechanicsen
dc.titleFinite Element Simulations of Two Dimensional Peridynamic Modelsen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen
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