{"id":2998,"date":"2025-06-12T11:14:42","date_gmt":"2025-06-12T08:14:42","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2998"},"modified":"2025-06-12T11:14:42","modified_gmt":"2025-06-12T08:14:42","slug":"colloquium-tuesday-june-10-2025-speaker-raz-kupferman-huji-title-non-euclidean-elasticity-review-and-current-challenges","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2998","title":{"rendered":"Colloquium: Tuesday June 10, 2025. Speaker: Raz Kupferman (HUJI). Title: &#8220;Non-Euclidean elasticity: Review and current challenges&#8221;."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">The most rudimentary description of an elastic body is as a Riemannian manifold (with boundary) \u00a0constrained to \u201clive&#8221; in an ambient Euclidean space of same dimension. To each configuration (i.e., to each embedding of the body in space) is assigned an energy, measuring a geometric discrepancy between the body and its image. Equilibrium configurations are postulated to be minimizers of that energy, thus posing a problem within the realm of the calculus of variations. Classical elasticity has been concerned with elastic bodies that are Euclidean, in which case the variational problem is non-trivial only when supplemented with extra forces, or boundary constraints. Recent years have seen much interest in elastic bodies assuming non-trivial geometries and topologies, motivated by experiments and even industrial applications.\u00a0 In this lecture I will review some more and less recent advances in the field of so-called non-Euclidean elasticity, as well as some remaining challenges.\u00a0<strong>No prior knowledge in physics or material science is assumed.<\/strong><br><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The most rudimentary description of an elastic body is as a Riemannian manifold (with boundary) \u00a0constrained to \u201clive&#8221; in an ambient Euclidean space of same dimension. To each configuration (i.e., to each embedding of the body in space) is assigned&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2998\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-2998","post","type-post","status-publish","format-standard","hentry","category-colloquium"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2998","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2998"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2998\/revisions"}],"predecessor-version":[{"id":2999,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2998\/revisions\/2999"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2998"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2998"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2998"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}