{"id":1330,"date":"2014-09-17T17:37:23","date_gmt":"2014-09-17T17:37:23","guid":{"rendered":"http:\/\/blogs.uakron.edu\/ernianpan\/?page_id=1330"},"modified":"2014-09-17T17:51:49","modified_gmt":"2014-09-17T17:51:49","slug":"pan_re_5gf","status":"publish","type":"page","link":"https:\/\/blogs.uakron.edu\/ernianpan\/pan_re_5gf\/","title":{"rendered":"Green&#8217;s functions and applications"},"content":{"rendered":"<p><em>(See Pan, E. (2002): Mindlin problem for an anisotropic piezoelectric half space with general boundary conditions. Proceedings of the Royal Society of London A 458: 181-208.)<\/em><\/p>\n<p>&nbsp;<\/p>\n<p><strong>(1) Half-Space Green&#8217;s Functions<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1354\" src=\"https:\/\/blogs.uakron.edu\/ernianpan\/wp-content\/uploads\/sites\/1130\/2014\/09\/image0021.gif\" alt=\"image002\" width=\"255\" height=\"41\" \/><br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1346\" src=\"https:\/\/blogs.uakron.edu\/ernianpan\/wp-content\/uploads\/sites\/1130\/2014\/09\/image0042.gif\" alt=\"image004\" width=\"347\" height=\"48\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>(2) For Quartz Half-Space<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1362\" src=\"https:\/\/blogs.uakron.edu\/ernianpan\/wp-content\/uploads\/sites\/1130\/2014\/09\/007008.png\" alt=\"007008\" width=\"951\" height=\"420\" srcset=\"https:\/\/blogs.uakron.edu\/ernianpan\/wp-content\/uploads\/sites\/1130\/2014\/09\/007008.png 951w, https:\/\/blogs.uakron.edu\/ernianpan\/wp-content\/uploads\/sites\/1130\/2014\/09\/007008.png?resize=300,132 300w, https:\/\/blogs.uakron.edu\/ernianpan\/wp-content\/uploads\/sites\/1130\/2014\/09\/007008.png?resize=768,339 768w\" sizes=\"auto, (max-width: 951px) 100vw, 951px\" \/><\/p>\n<p><em>Variations of the normalized electric displacement components Dx and Dz on the surface (z = 0) of the quartz half-spaces due to a negative point electric charge applied at d= (0; 0; 1), for the traction-free insulating (ins, traction-free), traction-free conducting (con, traction-free), rigid insulating (ins, rigid), and rigid conducting (con, rigid) surface conditions.<\/em><\/p>\n<p>&nbsp;<\/p>\n<p><strong>(3) For Ceramic Half-Space<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-1366\" src=\"https:\/\/blogs.uakron.edu\/ernianpan\/wp-content\/uploads\/sites\/1130\/2014\/09\/011012.png\" alt=\"011012\" width=\"951\" height=\"420\" srcset=\"https:\/\/blogs.uakron.edu\/ernianpan\/wp-content\/uploads\/sites\/1130\/2014\/09\/011012.png 951w, https:\/\/blogs.uakron.edu\/ernianpan\/wp-content\/uploads\/sites\/1130\/2014\/09\/011012.png?resize=300,132 300w, https:\/\/blogs.uakron.edu\/ernianpan\/wp-content\/uploads\/sites\/1130\/2014\/09\/011012.png?resize=768,339 768w\" sizes=\"auto, (max-width: 951px) 100vw, 951px\" \/><\/p>\n<p><em>Variations of the normalized electric displacement components Dx and Dz on the surface (z = 0) of the ceramic half-spaces due to a negative point electric charge applied at d= (0; 0; 1), for the traction-free insulating (ins, traction-free), traction-free conducting (con, traction-free), rigid insulating (ins, rigid), and rigid conducting (con, rigid) surface conditions.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>(See Pan, E. (2002): Mindlin problem for an anisotropic piezoelectric half space with general boundary conditions. Proceedings of the Royal Society of London A 458: 181-208.) &nbsp; (1) Half-Space Green&#8217;s Functions &nbsp; (2) For Quartz Half-Space Variations of the normalized&hellip; <\/p>\n","protected":false},"author":1994,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-1330","page","type-page","status-publish","hentry"],"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/pages\/1330","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/users\/1994"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/comments?post=1330"}],"version-history":[{"count":5,"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/pages\/1330\/revisions"}],"predecessor-version":[{"id":1370,"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/pages\/1330\/revisions\/1370"}],"wp:attachment":[{"href":"https:\/\/blogs.uakron.edu\/ernianpan\/wp-json\/wp\/v2\/media?parent=1330"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}