{"id":1996,"date":"2021-04-13T11:38:51","date_gmt":"2021-04-13T10:38:51","guid":{"rendered":"http:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/?p=1996"},"modified":"2022-11-11T10:24:54","modified_gmt":"2022-11-11T10:24:54","slug":"inflation-instabilities-in-nematic-elastomer-tubes-supervisor-dr-angela-mihai","status":"publish","type":"post","link":"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/inflation-instabilities-in-nematic-elastomer-tubes-supervisor-dr-angela-mihai\/","title":{"rendered":"Inflation Instabilities in Nematic Elastomer Tubes &#8211; Supervisor: Dr Angela Mihai"},"content":{"rendered":"\n<p><strong>Title:<\/strong> Inflation Instabilities in Nematic Elastomer Tubes <\/p>\n\n\n\n<p> <strong>Code: <\/strong>   AM2122B <\/p>\n\n\n\n<p><strong>Project Description:<\/strong> <\/p>\n\n\n\n<p>Nematic liquid crystal elastomers are advanced multifunctional<br> materials that combine the exibility of polymeric networks with the ne-<br> matic structure of liquid crystals. Due to their complex molecular architec-<br> ture, they are capable of exceptional responses, such as large spontaneous<br> deformations and phase transitions, which are reversible and repeatable<br> under certain external stimuli (e.g., heat, light, solvents, electric or mag-<br> netic elds). Their accurate description requires multiphysics modelling<br> combining elasticity and liquid crystal theories.<br><br> In particular, internally pressurised hollow spheres and tubes are relevant<br> in many engineering and biomedical applications. This project focuses<br> on ination instabilities in a nematic circular cylindrical tube where the<br> liquid crystal mesogens may rotate during deformation. Assuming dier-<br> ent material models for ideal nematic elastomers, the aim is to show that,<br> depending on the particular model, the required internal pressure may in-<br> crease monotonically, or increase and then decrease, or increase, decrease,<br> and then increase again. A comparison with similar phenomena in purely<br> elastic tubes will also be performed.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>Type:<\/strong> 20 credits <\/p>\n\n\n\n<p><strong>Supervisor: <\/strong>Dr Angela Mihai <\/p>\n\n\n\n<p><strong>Prerequisite modules: <\/strong>(2nd year) Real Analysis, Calculus of Several Variables, Linear Algebra; (3rd year) Partial Differential Equations, Methods of Applied Mathematics, Finite Elasticity <\/p>\n\n\n\n<p><strong>Maximum number of students: <\/strong>1 <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title: Inflation Instabilities in Nematic Elastomer Tubes Code: AM2122B Project Description: Nematic liquid crystal elastomers are advanced multifunctional materials that combine the exibility of polymeric networks with the ne- matic structure of liquid crystals. Due to their complex molecular architec- ture, they are capable of exceptional responses, such as large spontaneous deformations and phase transitions, &hellip; <a href=\"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/inflation-instabilities-in-nematic-elastomer-tubes-supervisor-dr-angela-mihai\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Inflation Instabilities in Nematic Elastomer Tubes &#8211; Supervisor: Dr Angela Mihai<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[2,5,8],"tags":[],"class_list":["post-1996","post","type-post","status-publish","format-standard","hentry","category-2021-2022","category-single","category-yr-4-description-2021-2022"],"aioseo_notices":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/wp-json\/wp\/v2\/posts\/1996","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/wp-json\/wp\/v2\/comments?post=1996"}],"version-history":[{"count":4,"href":"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/wp-json\/wp\/v2\/posts\/1996\/revisions"}],"predecessor-version":[{"id":2065,"href":"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/wp-json\/wp\/v2\/posts\/1996\/revisions\/2065"}],"wp:attachment":[{"href":"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/wp-json\/wp\/v2\/media?parent=1996"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/wp-json\/wp\/v2\/categories?post=1996"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.maths.cf.ac.uk\/mathsugprojects\/wp-json\/wp\/v2\/tags?post=1996"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}