MDM503 APPLIED ELASTICITY
| Course Code: | 8760503 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mechanical Design and Manufacturing |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
Course Content
Introduction;strength of materials approach;elasticity approach.Basics of tensor algebra and transformation;index notation;vector transformation;higher-order tensors;Gauss divergence theorem. Analysis of strain;displacement;strain and rotation tensors;geometric construction of small deformation theory; strain transformation; principal strain compatibility.Analysis of stress;body and surface forces;traction vector;equations of equilibrium;stress transformation;principal stress.Constituve relations; generalized Hooke`s law;symmetry properties of the elasticity tensor;planes of elastic symmetry;Lame`s constants;engineering constants of isotropic materials.Formulation of problems in elasticity;boundary conditions and fundamental problem classifications;governing equations of elasticity;displacement based formulation(Navier`s equations);stress based formulation (Beltrami-Michell compatibilitiy equations);principle of superposition.Two-dimensional elasticity;plane strain;plane stress;Airy setress function;two-dimensional problem solution;stress function formulation with polar coordinates;thermoelasticity.