A solid-fluid diffusionless reacting mixture theory model for bone
| atmire.migration.oldid | 513 | |
| dc.contributor.advisor | Epstein, Marcelo | |
| dc.contributor.author | Cull, Stephen | |
| dc.date.accessioned | 2012-12-20T18:16:07Z | |
| dc.date.available | 2013-06-15T07:01:41Z | |
| dc.date.issued | 2012-12-20 | |
| dc.date.submitted | 2012 | en |
| dc.description.abstract | Mixture theory provides a framework to study materials composed of an arbitrary number of constituents. In addition to describing the motion and deformation of a material, mixture theory also describes reactions between constituents. The coupling of reactions and mechanical deformations for bone will be examined using a mixture theory approach. Bone will be considered as a reactive diffusionless solid-fluid mixture. Assumed evolution equations which depend on mechanical deformations will be used to describe reactions in bone. Considering a steady state biaxial stretch case and a uniaxial stress case, assumed evolution equations will be solved numerically. Results showed an increase of solid apparent density with increased mechanical loading. The precise relation between solid apparent density and mechanics depended on the choice of remodeling constants. In addition, the steady state orientation of a transversely isotropic solid constituent was determined to depend on the initial mixture composition. | en_US |
| dc.identifier.citation | Cull, S. (2012). A solid-fluid diffusionless reacting mixture theory model for bone (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/25012 | en_US |
| dc.identifier.doi | http://dx.doi.org/10.11575/PRISM/25012 | |
| dc.identifier.uri | http://hdl.handle.net/11023/372 | |
| dc.language.iso | eng | |
| dc.publisher.faculty | Graduate Studies | |
| dc.publisher.institution | University of Calgary | en |
| dc.publisher.place | Calgary | en |
| dc.rights | University of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission. | |
| dc.subject | Applied Mechanics | |
| dc.subject | Engineering--Mechanical | |
| dc.subject.classification | mixture theory | en_US |
| dc.subject.classification | Growth | en_US |
| dc.subject.classification | Remodeling | en_US |
| dc.subject.classification | Bone | en_US |
| dc.title | A solid-fluid diffusionless reacting mixture theory model for bone | |
| dc.type | master thesis | |
| thesis.degree.discipline | Mechanical and Manufacturing Engineering | |
| thesis.degree.grantor | University of Calgary | |
| thesis.degree.name | Master of Science (MSc) | |
| ucalgary.item.requestcopy | true |