CE527 THEORY OF ELASTICITY
| Course Code: | 5620527 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Civil Engineering |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. KAĞAN TUNCAY |
| Offered Semester: | Fall or Spring Semesters. |
Course Objectives
Develop a deep understanding of classical elasticity theory — including stress, strain, constitutive relations, and governing equations — and apply these concepts to formulate and solve boundary value problems.
Apply energy methods and variational principles to establish uniqueness, stability, and approximate solutions in elasticity problems.
Analyze wave propagation phenomena in elastic solids
Integrate thermal and mechanical fields by formulating and solving thermoelastic problems under steady and transient conditions.
Understand and apply poroelasticity concepts to model coupled fluid–solid interactions in geomechanics, biomechanics, and material science.
Extend elasticity principles to anisotropic materials, especially composites and crystals, and evaluate their mechanical behavior under various loading conditions.
Course Content
Analysis of stress. Analysis of strain. Elasticity: equations of elasticity and general theorems; two dimensional problems in cartesian and polar coordinates; special problems in three dimensional elasticity; variational methods. (R)
Course Learning Outcomes
Formulate and solve elasticity boundary value problems by applying stress–strain relations, equilibrium equations, and compatibility conditions.
Apply energy principles and variational methods to derive and approximate solutions in elasticity.
Analyze elastic wave propagation and determine characteristics of longitudinal, shear, and surface waves.
Model thermoelastic problems under steady and transient conditions, and predict thermal stresses.
Apply poroelasticity theory to evaluate coupled solid–fluid behavior in geomechanics and biomechanics.
Analyze thin plate behavior (bending, buckling, vibration) using classical and shear-deformable plate theories.
Evaluate the mechanical response of anisotropic materials, including orthotropic and transversely isotropic solids.
Assess the limitations and applicability of linear, anisotropic, thermoelastic, and poroelastic models in engineering practice.
Communicate technical results effectively, linking theoretical derivations to engineering and scientific applications.
Program Outcomes Matrix
| Contribution | |||||
| # | Program Outcomes | No | Yes | ||
| 1 | Conducts research to investigate and solve advanced civil engineering problems using appropriate scientific methods and acquires the fundamental knowledge to evaluate the results. | ✔ | |||
| 2 | Reviews and synthesizes relevant literature to identify the current state of the art. | ✔ | |||
| 3 | Engages in lifelong learning and professional development, and gains familiarity with emerging practices. | ✔ | |||
| 4 | Formulates and solves complex civil engineering problems by selecting and applying appropriate tools and techniques. | ✔ | |||
| 5 | Communicates effectively in written and oral forms, particularly in conveying research processes and outcomes to diverse audiences. | ✔ | |||
| 6 | Upholds professional and ethical responsibility in research, with an awareness of global, societal, environmental, and scientific contexts. | ✔ | |||