{"id":2118,"date":"2016-07-12T12:39:54","date_gmt":"2016-07-12T10:39:54","guid":{"rendered":"http:\/\/www.ustarch.sav.sk\/?page_id=2118"},"modified":"2026-01-31T14:26:42","modified_gmt":"2026-01-31T12:26:42","slug":"gradient-piezoelectricity","status":"publish","type":"page","link":"https:\/\/ustarch.sav.sk\/sk\/archive\/gradient-piezoelectricity\/","title":{"rendered":"Gradient piezoelectricity"},"content":{"rendered":"<h3><a href=\"https:\/\/ustarch.sav.sk\/sk\/about-us\/structure\/departments\/mechanics\/\">Department of Mechanics<\/a><\/h3>\n<p>&nbsp;<\/p>\n<table border=\"1\" width=\"100%\">\n<tbody>\n<tr>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2204 size-full\" src=\"https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/piezo1.jpg\" alt=\"piezo1\" width=\"310\" height=\"281\" srcset=\"https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/piezo1.jpg 310w, https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/piezo1-300x272.jpg 300w, https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/piezo1-100x91.jpg 100w\" sizes=\"auto, (max-width: 310px) 100vw, 310px\" \/><\/p>\n<p><strong>Fig. 2<\/strong>: The \u00bc model for the central crack<\/td>\n<td><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2200 \" src=\"https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/piezo3.gif\" alt=\"piezo3\" width=\"370\" height=\"299\" \/><\/p>\n<p><strong>Fig. 6<\/strong>\u00a0\u00a0 Size-effect of the strain-gradients on the crack-opening-displacement\u00a0for a cracked piezoelectric square domain<\/td>\n<\/tr>\n<tr>\n<td>\u00a0The strain-gradient size-factor, q,<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2199\" src=\"https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/piezo2.gif\" alt=\"piezo2\" width=\"197\" height=\"35\" \/><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>The constitutive equations (Hu and Shen, 2009)<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-2201 alignleft\" src=\"https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/piezo4.gif\" alt=\"piezo4\" width=\"150\" height=\"30\" \/><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-2202 alignleft\" src=\"https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/piezo5.gif\" alt=\"piezo5\" width=\"192\" height=\"30\" \/><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-2203 alignleft\" src=\"https:\/\/ustarch.sav.sk\/sk\/wp-content\/uploads\/sites\/2\/piezo6.gif\" alt=\"piezo6\" width=\"223\" height=\"30\" \/><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Department of Mechanics &nbsp; Fig. 2: The \u00bc model for the central crack Fig. 6\u00a0\u00a0 Size-effect of the strain-gradients on the crack-opening-displacement\u00a0for a cracked piezoelectric&#8230;<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":310,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-2118","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/pages\/2118","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/comments?post=2118"}],"version-history":[{"count":1,"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/pages\/2118\/revisions"}],"predecessor-version":[{"id":6599,"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/pages\/2118\/revisions\/6599"}],"up":[{"embeddable":true,"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/pages\/310"}],"wp:attachment":[{"href":"https:\/\/ustarch.sav.sk\/sk\/wp-json\/wp\/v2\/media?parent=2118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}