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{"id":566,"date":"2016-03-07T11:38:36","date_gmt":"2016-03-07T10:38:36","guid":{"rendered":"http:\/\/gerardgremaud.ch\/?page_id=566"},"modified":"2020-06-13T06:40:50","modified_gmt":"2020-06-13T04:40:50","slug":"566-2","status":"publish","type":"page","link":"https:\/\/gerardgremaud.ch\/en\/566-2\/","title":{"rendered":"Eulerian theory of deformable media"},"content":{"rendered":"<p><\/p>\n<h3 style=\"text-align: center;\"><strong>Dislocation and disclination charges in solids<\/strong><\/h3>\n<p>One proposes here a theory which lays methodically the foundations of an original approach of the solid lattices deformation using the Euler coordinates, and which introduces in details the concept of tensor dislocation charges and tensor disclination charges within a lattice. This new concept allows one to quantify the topological singularities which can appear at the microscopic scale of a solid lattice. On the basis of this original approach of the solid lattices and their topological singularities, one can deduce a set of fundamental and phenomenological equations allowing to treat rigorously the macroscopic spatiotemporal evolution of a newtonian solid lattice which deforms in the absolute space of an external observer laboratory.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/gerardgremaud.ch\/wp-content\/uploads\/2020\/06\/Capture-d\u2019e\u0301cran-2020-06-06-a\u0300-07.27.56.png\" alt=\"\" \/><\/p>\n<div>\n<div><\/div>\n<h4><em><span style=\"color: #ff0000;\">Books<\/span> <\/em><\/h4>\n<div><em><strong>\u201c<\/strong><strong>Eulerian theory of newtonian deformable lattices &#8211; dislocation and disclination charges in solids\u201d<\/strong> , G. Gremaud, Amazon, Charleston (USA) 2016, 312 pages, ISBN 978-2-8399-1943-2,<\/em><\/div>\n<div><em><a href=\"http:\/\/gerardgremaud.ch\/wp-content\/uploads\/2016\/07\/Table-of-content.pdf\"><span style=\"color: #00ff00;\">\u00a0\u00a0\u00a0 download the content table and the introduction,<\/span><\/a> <\/em><\/div>\n<div><em><a href=\"https:\/\/www.amazon.com\/Eulerian-theory-Newtonian-deformable-lattices\/dp\/2839919435\/ref=sr_1_cc_1?s=aps&amp;ie=UTF8&amp;qid=1469509073&amp;sr=1-1-catcorr&amp;keywords=G%C3%A9rard+Gremaud\">\u00a0\u00a0\u00a0 buy the book<\/a><\/em><\/div>\n<div>\n<div><\/div>\n<div><em><strong>\u201cTh\u00e9orie eul\u00e9rienne des milieux d\u00e9formables \u2013 charges de dislocation et d\u00e9sinclinaison dans les solides\u201d<\/strong>, G. Gremaud, Presses polytechniques et universitaires romandes (PPUR), Lausanne 2013, 751 pages, ISBN 978-2-88074-964-4<\/em><br \/>\n<em><a href=\"http:\/\/gerardgremaud.ch\/wp-content\/uploads\/2016\/07\/Livre-1-franc\u0327ais.pdf\">\u00a0<span style=\"color: #00ff00;\">\u00a0\u00a0 T\u00e9l\u00e9charger la table des mati\u00e8res et l&#8217;introduction<\/span><\/a><\/em><br \/>\n<em><a href=\"https:\/\/www.youtube.com\/watch?v=o1uJtO5Iqx4\">\u00a0\u00a0\u00a0 Interview de l&#8217;auteur<br \/>\n<\/a><a href=\"http:\/\/www.ppur.org\/produit\/619\/9782880749644\/Theorie%20eulerienne%20des%20milieux%20deformables%20?search_text=g%C3%A9rard%20Gremaud\">\u00a0\u00a0\u00a0 Acheter le livre<\/a><\/em><\/div>\n<\/div>\n<div><\/div>\n<h5><\/h5>\n<h4><em><span style=\"color: #ff0000;\">Paper<\/span> <\/em><\/h4>\n<div><em><strong>&#8220;Maxwell\u2019s equations as a special case of deformation of a solid lattice in Euler\u2019s coordinates&#8221;<\/strong><strong>,<\/strong> G. Gremaud, September 2016,\u00a0 <a href=\"https:\/\/arxiv.org\/abs\/1610.00753\">arXiv :1610.00753 [physics.gen-ph]<\/a><\/em><br \/>\n<em><a href=\"http:\/\/gerardgremaud.ch\/wp-content\/uploads\/2016\/10\/Maxwell-equations-arXiv.pdf\"><span style=\"color: #00ff00;\">\u00a0\u00a0\u00a0 Download\/t\u00e9l\u00e9charger<\/span><\/a><\/em><\/div>\n<div><\/div>\n<h5><\/h5>\n<h4><span style=\"color: #ff0000;\"><em>Illustrated presentation<\/em><\/span><\/h4>\n<div><em> <strong>&#8220;Eulerian theory of deformable media&#8221;, <\/strong>G. Gremaud, Lausanne, March 2017, 21 pages, <span id=\"yui_3_14_1_1_1488984279863_1091\" data-reactid=\"60\"><span id=\"yui_3_14_1_1_1488984279863_1090\" data-reactid=\"62\">DOI: 10.13140\/RG.2.2.21515.69926<\/span><\/span><\/em><br \/>\n<em><a href=\"http:\/\/gerardgremaud.ch\/wp-content\/uploads\/2017\/03\/Pre\u0301sentation-the\u0301orie-eule\u0301rienne.compressed.pdf\"><span style=\"color: #00ff00;\">\u00a0\u00a0\u00a0 Download \/ t\u00e9l\u00e9charger<\/span><\/a><\/em><\/div>\n<\/div>\n<p><\/p>","protected":false},"excerpt":{"rendered":"<\/p>\n<p class=\"excerpt-link\"><a href=\"https:\/\/gerardgremaud.ch\/en\/566-2\/\">&sim;&nbsp;Continue Reading&nbsp;&sim;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_exactmetrics_skip_tracking":false,"footnotes":""},"class_list":["post-566","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/gerardgremaud.ch\/en\/wp-json\/wp\/v2\/pages\/566","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gerardgremaud.ch\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/gerardgremaud.ch\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/gerardgremaud.ch\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gerardgremaud.ch\/en\/wp-json\/wp\/v2\/comments?post=566"}],"version-history":[{"count":126,"href":"https:\/\/gerardgremaud.ch\/en\/wp-json\/wp\/v2\/pages\/566\/revisions"}],"predecessor-version":[{"id":1857,"href":"https:\/\/gerardgremaud.ch\/en\/wp-json\/wp\/v2\/pages\/566\/revisions\/1857"}],"wp:attachment":[{"href":"https:\/\/gerardgremaud.ch\/en\/wp-json\/wp\/v2\/media?parent=566"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}