ME547 INTRODUCTION TO CONTINUUM MECHANICS
| Course Code: | 5690547 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mechanical Engineering |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. HÜSNÜ DAL |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
This course aims to introduce
1. notion of continuum and the length scales for the applicability of continuum mechanics,
2. introduce vector and tensor algebra and equip them with skills for analysis of vector and tensor valued functions, e.g. differentiation and integration,
3. introduce basic kinematics for a deforming body and various deformation measures and their rates,
4. concept of stress and various stress measures as work conjugates of deformation measures,
5. balance laws which govern the motion of a deformable continuum. Lagrangian and
Eulerian description,
6. mathematical restrictions to constitutive theories, e.g. stress strain relationship, and
7. the notion of hyperelastic materials and their numerical implementation.
Course Content
General aspects, basic assumptions. Development of mathematical tools. Kinematics of a continuum. Stresses. General principles. Theory of constitutive equations. Basic material laws. Curvilinear coordinate systems in tensors. (R)
Course Learning Outcomes
At the end of the semester, the students are expected to
1. gain essential background on continuum mechanics
2. be able to construct the kinematic relations for a deforming body in the reference and deformed configurations,
3. gain mathematical and physical restrictions on material theories, and
4. learn the notion of hyperelastic materials and linearization of field equations leading to linear elasticity.