Overview

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.

Included in Degrees & Certificates

• 571

Prerequisites

• ME3611
• Or by consent of instructor

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.