{"id":1833,"date":"2023-07-01T02:28:38","date_gmt":"2023-06-30T23:28:38","guid":{"rendered":"https:\/\/www.mech.ihu.gr\/?post_type=course&#038;p=1833"},"modified":"2023-07-01T02:28:39","modified_gmt":"2023-06-30T23:28:39","slug":"%ce%ba%ce%b210%ce%b54","status":"publish","type":"course","link":"https:\/\/www.mech.ihu.gr\/en\/courses\/%ce%ba%ce%b210%ce%b54\/","title":{"rendered":"\u03a5\u03a0\u039f\u039b\u039f\u0393\u0399\u03a3\u03a4\u0399\u039a\u0395\u03a3 \u039c\u0395\u0398\u039f\u0394\u039f\u0399 \u039c\u039f\u03a1\u03a6\u039f\u03a0\u039f\u0399\u0397\u03a3\u0397\u03a3"},"author":6,"template":"","meta":[],"semester":[43],"course_type":[14],"acf":{"code":"\u039a\u039210\u03954","semester":43,"level":"1","teaching_activities":{"activity_1":{"description":"\u0394\u03b9\u03b1\u03bb\u03ad\u03be\u03b5\u03b9\u03c2","weekly_hrs":3,"ects":""},"activity_2":{"description":"\u0391\u03c3\u03ba\u03ae\u03c3\u03b5\u03b9\u03c2 \u03a0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2","weekly_hrs":1,"ects":""},"activity_3":{"description":"\u03a3\u03cd\u03bd\u03bf\u03bb\u03bf","weekly_hrs":4,"ects":5},"activity_4":{"description":"","weekly_hrs":"","ects":""},"activity_5":{"description":"","weekly_hrs":"","ects":""}},"type":14,"language":"\u0395\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ac","erasmus":"\u039d\u03b1\u03b9","url":"https:\/\/elearning.cm.ihu.gr\/","prerequisites":[1691],"instructors":"","coordinator":"","content":"\u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03c3\u03c4\u03b7\u03bd \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b1\u03c3\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2. \u0398\u03b5\u03c9\u03c1\u03af\u03b1 \u03ba\u03b1\u03b9 \u03ba\u03c1\u03b9\u03c4\u03ae\u03c1\u03b9\u03b1 \u03b4\u03b9\u03b1\u03c1\u03c1\u03bf\u03ae\u03c2, \u03ba\u03c1\u03b9\u03c4\u03ae\u03c1\u03b9\u03bf \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7\u03c2\r\n\u03b4\u03b9\u03b1\u03c4\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c4\u03ac\u03c3\u03b7\u03c2 (Tresca), \u03ba\u03c1\u03b9\u03c4\u03ae\u03c1\u03b9\u03bf \u03b9\u03c3\u03bf\u03b4\u03cd\u03bd\u03b1\u03bc\u03b7\u03c2 \u03c4\u03ac\u03c3\u03b7\u03c2 (von Mises). \u0388\u03bd\u03bd\u03bf\u03b9\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03bc\u03cc\u03c1\u03c6\u03c9\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9\r\n\u03b4\u03b9\u03b1\u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03b1 \u03bf\u03c1\u03b9\u03b1\u03ba\u03ce\u03bd \u03c0\u03b1\u03c1\u03b1\u03bc\u03bf\u03c1\u03c6\u03ce\u03c3\u03b5\u03c9\u03bd. \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03ba\u03b1\u03c4\u03b5\u03c1\u03b3\u03b1\u03c3\u03b9\u03ce\u03bd \u03b4\u03b9\u03b1\u03bc\u03bf\u03c1\u03c6\u03ce\u03c3\u03b5\u03c9\u03bd, \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03b9\u03b4\u03b1\u03bd\u03b9\u03ba\u03bf\u03cd\r\n\u03ad\u03c1\u03b3\u03bf\u03c5, \u03bf\u03c1\u03b9\u03b1\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7, \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03ac\u03bd\u03c9 \u03ba\u03b1\u03b9 \u03ba\u03ac\u03c4\u03c9 \u03bf\u03c1\u03af\u03bf\u03c5 (upper &amp; lower bound), \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ce\u03bd\r\n\u03bf\u03bb\u03af\u03c3\u03b8\u03b7\u03c3\u03b7\u03c2 (slip-line). \u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c4\u03c9\u03bd \u03c0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03c9\u03bd (FEM), M\u03b7-\u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2, \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ae\r\n\u03bc\u03b7-\u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1, \u03bc\u03b7-\u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c5\u03bb\u03b9\u03ba\u03bf\u03cd, \u039f\u03b9\u03bf\u03bd\u03b5\u03af \u03c3\u03c4\u03b1\u03c4\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7, \u03a3\u03c4\u03b5\u03c1\u03b5\u03bf\u03c0\u03bb\u03b1\u03c3\u03c4\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7,\r\n\u0394\u03b9\u03b1\u03c4\u03cd\u03c0\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5 Updated Lagrangian, \u039b\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03bc\u03b5\u03c4\u03b1\u03b2\u03bf\u03bb\u03ce\u03bd \u03c3\u03b5 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03bf\u03c1\u03b9\u03b1\u03ba\u03ce\u03bd \u03c3\u03c5\u03bd\u03b8\u03b7\u03ba\u03ce\u03bd\r\n\u03c4\u03b7\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u03c3\u03c5\u03bd\u03b5\u03c7\u03ce\u03bd \u03bc\u03ad\u03c3\u03c9\u03bd, \u039f\u03c1\u03b9\u03b1\u03ba\u03ad\u03c2 \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b5\u03c2, \u03c4\u03c1\u03b9\u03b2\u03ae \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b1\u03c6\u03ae \u03b5\u03c0\u03b9\u03c6\u03b1\u03bd\u03b5\u03b9\u03ce\u03bd, \u0391\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2\r\n\u03b8\u03b5\u03c1\u03bc\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03a3\u03c5\u03b6\u03b5\u03c5\u03b3\u03bc\u03ad\u03bd\u03b7 \u03b8\u03b5\u03c1\u03bc\u03bf\u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7, \u03a0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03b1 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 \u03ba\u03b1\u03b9 \u03b4\u03b9\u03b1\u03ba\u03c1\u03b9\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 (Mesh\r\nand re-meshing), \u0395\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03bc\u03b7-\u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd. \u0391\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7 \u03ba\u03b1\u03b9 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c4\u03b7\u03c2\r\n\u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5 FEM \u03c3\u03b5 \u03b2\u03b9\u03bf\u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2 \u03bc\u03bf\u03c1\u03c6\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2.","goals":"\u03a3\u03ba\u03bf\u03c0\u03cc\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03b9\u03c3\u03ac\u03b3\u03b5\u03b9 \u03c4\u03bf\u03bd \u03c6\u03bf\u03b9\u03c4\u03b7\u03c4\u03ae \u03c3\u03c4\u03b9\u03c2 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ad\u03c2 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b5\u03c2 ...\r\n\r\n\u039c\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03c4\u03c5\u03c7\u03ae \u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03bc\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03bf \u03c6\u03bf\u03b9\u03c4\u03b7\u03c4\u03ae\u03c2\/\u03c4\u03c1\u03b9\u03b1 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b5 \u03b8\u03ad\u03c3\u03b7:\r\n<ul>\r\n \t<li>\u039d\u03b1 \u03b1\u03bd\u03b1\u03bb\u03cd\u03b5\u03b9 \u03c4\u03b7\u03bd...<\/li>\r\n \t<li>\u039d\u03b1 \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03c4\u03b9\u03c2...<\/li>\r\n \t<li>\u039d\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03b5\u03af \u03c4\u03bf...<\/li>\r\n \t<li>\u039d\u03b1 \u03c3\u03c5\u03b3\u03ba\u03c1\u03af\u03bd\u03b5\u03b9 \u03c4\u03b1...<\/li>\r\n<\/ul>","skills":"\u2022 \u0391\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7, \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c3\u03cd\u03bd\u03b8\u03b5\u03c3\u03b7 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03b9\u03ce\u03bd, \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd\r\n\u03b1\u03c0\u03b1\u03c1\u03b1\u03af\u03c4\u03b7\u03c4\u03c9\u03bd \u03c4\u03b5\u03c7\u03bd\u03bf\u03bb\u03bf\u03b3\u03b9\u03ce\u03bd\r\n\u2022 \u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c4\u03b7\u03c2 \u03b3\u03bd\u03ce\u03c3\u03b7\u03c2 \u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03ac\u03be\u03b7\r\n\u2022 \u03a0\u03c1\u03bf\u03b1\u03b3\u03c9\u03b3\u03ae \u03c4\u03b7\u03c2 \u03b5\u03bb\u03b5\u03cd\u03b8\u03b5\u03c1\u03b7\u03c2, \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b9\u03ba\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b1\u03b3\u03c9\u03b3\u03b9\u03ba\u03ae\u03c2 \u03c3\u03ba\u03ad\u03c8\u03b7\u03c2\r\n\u2022 \u0394\u03b9\u03b1\u03c7\u03b5\u03af\u03c1\u03b9\u03c3\u03b7 \u03ad\u03c1\u03b3\u03bf\u03c5\r\n\u2022 \u0395\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03c3\u03b5 \u03b4\u03b9\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03cc \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd\r\n\u2022 \u039f\u03bc\u03b1\u03b4\u03b9\u03ba\u03ae \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1","teaching_methods":"\u03a0\u03c1\u03cc\u03c3\u03c9\u03c0\u03bf \u03bc\u03b5 \u03c0\u03c1\u03cc\u03c3\u03c9\u03c0\u03bf, \u03c3\u03c4\u03b7\u03bd \u03b1\u03af\u03b8\u03bf\u03c5\u03c3\u03b1 \u03b4\u03b9\u03b4\u03b1\u03c3\u03ba\u03b1\u03bb\u03af\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03b5 \u03bf\u03bc\u03ac\u03b4\u03b5\u03c2\r\n\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2","ict_usage":"\u2013 \u03a7\u03c1\u03ae\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03a3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u0397\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03ae\u03c2 \u0395\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7\u03c2 \u03c4\u03b7\u03c2\r\n\u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03b9\u03bf\u03cd\u03c0\u03bf\u03bb\u03b7\u03c2 \u03a3\u03b5\u03c1\u03c1\u03ce\u03bd (https:\/\/elearning.cm.ihu.gr)\r\n- \u03a7\u03c1\u03ae\u03c3\u03b7 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H. Wagoner, J. L. Chenot, Cambridge University Press, 2001.\r\n(3) Metal forming mechanics and metallurgy, W. F. Hosford and R. M. Caddell, Second Edition,\r\nPrentice-Hall, 1993.\r\n(4) Finite element plasticity and metal forming analysis, G. W. Rowe, C. E. N. Sturgess, P. Hartley\r\nand I. Pillinger, Cambridge University Press, 1991.\r\n(5) Plasticity for engineers, C. R. 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