ME4612 Advanced Mechanics of Solids

Selected topics from advanced mechanics of materials and elasticity. Stress and strain tensors. Governing equations such as equations of equilibrium, constitutive equations, kinematic equations and compatibility equations. Two-dimensional elasticity problems in rectangular and polar coordinate systems. Airy stress function and semi-inverse technique. Energy methods with approximate solution techniques including Rayleigh-Ritz method. Buckling of imperfect columns. Introduction to plate and shell bending theory.

Prerequisite

ME3611 or by consent of instructor

Lecture Hours

4

Lab Hours

0

Course Learning Outcomes

At the completion of the course students will be able to:

• Be able to understand the difference between mechanics of materials and theory of elasticity, their strengths, and limitations.
• Understand the requirements to solve elastic problems.
• Understand the stress invariant concepts for failure criteria.
• Be able to apply stress concentration factors.
• Be able to apply energy techniques to solve structural mechanics problems.
• Be able to determine the critical stresses associated with different imperfections under axial compressive loads.
• Understand how to solve plate bending problems.
• Understand how to apply the knowledge to real world problems.