A viscoelastic constitutive model for thixotropic yield stress fluids: asymptotic and numerical studies of extension

Simple item page
dc.contributor.authorGrant, Holly Victoriaen
dc.contributor.committeechairRenardy, Yuriko Y.en
dc.contributor.committeememberSun, Shu Mingen
dc.contributor.committeememberYue, Pengtaoen
dc.contributor.committeememberRenardy, Michael J.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2017-11-18T09:00:23Zen
dc.date.available2017-11-18T09:00:23Zen
dc.date.issued2017-11-17en
dc.description.abstractThis dissertation establishes a mathematical framework for analyzing a viscoelastic model that displays thixotropic behavior as a model parameter gets very small. The model is the partially extending strand convection model, originally derived for polymeric melts that have long strands that get in the way of fully retracting. A Newtonian solvent is added. The uniaxial and equibiaxial extensional flows are studied using combined asymptotic analysis and numerical simulations. An initial value problem with a prescribed elongational stress is solved in the limit of large relaxation time. This gives rise to multiple time scales. If the initial stress is less than a critical value, the initial elastic elongation is followed by settling to an unyielded state at the slow time scale. If the initial stress is larger than the critical value, then yielding ensues. The extensional flows produce delayed yielding and hysteresis, both associated with thixotropy in complex fluids.en
dc.description.degreePh. D.en
dc.format.mediumETDen
dc.identifier.othervt_gsexam:13064en
dc.identifier.urihttp://hdl.handle.net/10919/80440en
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectAsymptotic Analysisen
dc.subjectNumerical Analysisen
dc.subjectViscoelasticityen
dc.subjectThixotropyen
dc.subjectYield Stress Fluiden
dc.subjectExtensional Flowen
dc.titleA viscoelastic constitutive model for thixotropic yield stress fluids: asymptotic and numerical studies of extensionen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

Files

Original bundle
Now showing 1 - 3 of 3
Thumbnail Image
Name:
Grant_HV_D_2017.pdf
Size:
2.43 MB
Format:
Adobe Portable Document Format
Download
Thumbnail Image
Name:
Grant_HV_D_2017_support_3.pdf
Size:
80.05 KB
Format:
Adobe Portable Document Format
Description:
Supporting documents
Download
Thumbnail Image
Name:
Grant_HV_D_2017_support_1.pdf
Size:
79.46 KB
Format:
Adobe Portable Document Format
Description:
Supporting documents
Download

Collections

Doctoral Dissertations