MDM503 APPLIED ELASTICITY
| Course Code: |
8760503 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| 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 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.
