{"id":1471,"date":"2023-05-16T13:39:53","date_gmt":"2023-05-16T10:39:53","guid":{"rendered":"https:\/\/www.civil.ihu.gr\/?post_type=course&#038;p=1471"},"modified":"2023-11-14T16:55:27","modified_gmt":"2023-11-14T14:55:27","slug":"%ce%b4%ce%bf%ce%bc006","status":"publish","type":"course","link":"https:\/\/www.civil.ihu.gr\/en\/courses\/%ce%b4%ce%bf%ce%bc006\/","title":{"rendered":"Theory of Elasticity"},"author":6,"template":"","meta":{"_acf_changed":false},"semester":[15],"course_type":[13],"class_list":["post-1471","course","type-course","status-publish","hentry","semester-15","course_type-special_background"],"acf":{"code":"\u0394\u039f\u039c006","semester":15,"level":"1","teaching_activities":{"activity_1":{"description":"Lectures","weekly_hrs":4,"ects":5},"activity_2":{"description":"","weekly_hrs":"","ects":""},"activity_3":{"description":"","weekly_hrs":"","ects":""},"activity_4":{"description":"","weekly_hrs":"","ects":""},"activity_5":{"description":"","weekly_hrs":"","ects":""}},"type":13,"language":"\u0395\u03bb\u03bb\u03b7\u03bd\u03b9\u03ba\u03ac","erasmus":"\u038c\u03c7\u03b9","url":"","prerequisites":"","instructors":"","coordinator":"","content":"\u2022 Stresses. Normal and shear stress. Stress tensor. Equations of equilibrium.\r\n\u2022 Basic principles of elasticity \u2013 plasticity. Continuous media. Homogeneous \u2013 isotropic materials.\r\nSmall and large deformations. Second-order phenomena. Static and dynamic loads.\r\n\u2022 Change of coordinate system. Transformation of stresses.\r\n\u2022 Principal stresses \u2013 principal axes. Mohr's circles. Invariants of stresses. Three-dimensional and\r\nplane stress state.\r\n\u2022 Deformations. Strain tensor. Laws of material behavior, stress-strain relationship. Compatibility\r\nequations.\r\n\u2022 Linear elasticity. Constitutive equations. Mechanical characteristics of materials. Hooke's law.\r\nModulus of elasticity. Poisson's ratio. Shear modulus. Elasto-plastic materials.\r\n\u2022 Properties of fluids. Viscosity.\r\n\u2022 Boundary conditions. Principle of superposition. Saint Venant's principle. Plane stress state. Plane\r\nstrain state.\r\n\u2022 Airy stress function. Solving two-dimensional problems in orthogonal and polar coordinates.\r\nBoundary conditions.\r\n\u2022 Lam\u00e9's constants. Elasticity equations. P and S wave velocities. Speeds of propagation.\r\n\u2022 Energy methods. Strain energy. Maxwell - Betti reciprocity theorem. Castigliano's theorem.","goals":"The familiarization of students with the concepts of stress and strain in continuous elastic media and\r\nthe stress-strain relationship in the elastic region. Understanding the equilibrium and compatibility\r\nequations. The use of boundary conditions. The ability to apply analytical, energy, and numerical\r\nmethods to determine deformations in truss and solid structures.","skills":"- Search for, analysis and synthesis of data and information, with the use of the necessary technology\r\n- Adapting to new situations\r\n- Decision-making\r\n- Working independently\r\n- Team work\r\n- Working in an interdisciplinary environment\r\n- Project planning and management\r\n- Criticism and self-criticism\r\n- Production of free, creative and inductive thinking","teaching_methods":"Face to face","ict_usage":"","teaching_organization":{"activity_1":{"description":"Lectures","workload":52},"activity_2":{"description":"Individual study","workload":78},"activity_3":{"description":"TOTAL","workload":130},"activity_4":{"description":"","workload":""},"activity_5":{"description":"","workload":""},"activity_6":{"description":"","workload":""}},"students_evaluation":"1. Assignment of tasks aimed at exploring the understanding\r\nof the concepts taught.\r\n2. Final written exam at the end of the semester (in Greek).\r\n\r\n3. Each student is given the opportunity to review their\r\nwritten exam and have their mistakes analyzed.","bib_textbooks":"<ul>\r\n \t<li>\u0393\u03b4\u03bf\u03cd\u03c4\u03bf\u03c5 \u0395. \u00ab\u0398\u03b5\u03c9\u03c1\u03af\u03b1 \u0395\u03bb\u03b1\u03c3\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2\u00bb, \u0395\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03a3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03af\u03b1 2003.<\/li>\r\n \t<li>http:\/\/eclass.opencourses.teicm.gr\/eclass\/modules\/document\/file.php\/TMB111\/FULL.pdf<\/li>\r\n \t<li>Timoshenko S, Goodier G.N. \u00abTheory of Elasticity\u00bb, McGraw-Hill, 1969.<\/li>\r\n \t<li>Timoshenko S, \u00abTheory of Elasticity\u00bb, McGraw-Hill, 1987.<\/li>\r\n \t<li>L. D. Landau, E. M. Lifshitz, \u00abTheory of Elasticity\u00bb, Pergamon Press, 1989.<\/li>\r\n \t<li>A.I. Lurie, \u00abTheory of Elasticity\u00bb, Springer Science &amp; Business Media, 2010.<\/li>\r\n \t<li>Gdoutos E. \u00abTheory of Elasticity\u00bb, Symmetria publications 2003 (in Greek)\r\nhttp:\/\/eclass.opencourses.teicm.gr\/eclass\/modules\/document\/file.php\/TMB111\/FULL.pdf\r\nTimoshenko S, Goodier G.N. \u00abTheory of Elasticity\u00bb, McGraw-Hill, 1969.\r\nTimoshenko S, \u00abTheory of Elasticity\u00bb, McGraw-Hill, 1987.\r\nL. D. Landau, E. M. Lifshitz, \u00abTheory of Elasticity\u00bb, Pergamon Press, 1989.\r\nA.I. Lurie, \u00abTheory of Elasticity\u00bb, Springer Science Business Media, 2010<\/li>\r\n<\/ul>","bib_journals":""},"_links":{"self":[{"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course\/1471","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course"}],"about":[{"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/types\/course"}],"author":[{"embeddable":true,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":6,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course\/1471\/revisions"}],"predecessor-version":[{"id":1969,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course\/1471\/revisions\/1969"}],"acf:term":[{"embeddable":true,"taxonomy":"course_type","href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course_type\/13"},{"embeddable":true,"taxonomy":"semester","href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/semester\/15"}],"wp:attachment":[{"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/media?parent=1471"}],"wp:term":[{"taxonomy":"semester","embeddable":true,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/semester?post=1471"},{"taxonomy":"course_type","embeddable":true,"href":"https:\/\/www.civil.ihu.gr\/en\/wp-json\/wp\/v2\/course_type?post=1471"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}