Advanced Mechanics of Solids

Course #ME4612

Est.imated Completion Time: 3 months

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

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.
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