COLORADO SCHOOL OF MINES – Department of Mechanical Engineering

  • MEGN 514: Continuum Mechanics [Fall Semesters]

This is a graduate course covering fundamentals of continuum mechanics and constitutive modeling. The goal of the course is to provide graduate students interested in fluid and solid mechanics with the foundation necessary to review and write papers in the field. Students will also gain experience interpreting, formulating, deriving, and implementing three-dimensional constitutive laws. The course explores six subjects: 1. Mathematical Preliminaries of Continuum Mechanics (Vectors, Tensors, Indicial Notation, Tensor Properties and Operations, Coordinate Transformations) 2. Stress (Traction, Invariants, Principal Values) 3. Motion and Deformation (Deformation Rates, Geometric Measures, Strain Tensors, Linearized Displacement Gradients) 4. Balance Laws (Conservation of Mass, Momentum, Energy) 5. Ideal Constitutive Relations (Frictionless & Linearly Viscous Fluids, Elasticity) 6. Constitutive Modeling (Formulation, Derivation, Implementation, Programming).

  • MEGN 312: Introduction to Solid Mechanics [Spring Semesters]

Introduction to the theory and application of the principles of Solid Mechanics by placing an early focus on free body diagrams, stress and strain transformations, and failure theories. Covered topics include: stress and stress transformation, strain and strain transformation, mechanical properties of materials, axial load, torsion, bending, transverse shear, combined loading, pressure vessels, failure theories, stress concentrations, thermal stress, deflection of beams and shafts, and column buckling. Upon completion of the course, students will be able to apply the principles of Solid Mechanics to the analysis of elastic structures under simple and combined loading, use free body diagrams in the analysis of structures, use failure theories to assess safety of design, and effectively communicate the outcomes of analysis and design problems.