(You will be surveyed to assess the effectiveness of the course in meeting these goals at the end of the course)
1. Understand the mathematical and physical foundations of the continuum mechanics of solids, including deformation and stress measures; constitutive relations; failure criteria; have the ability to pose and solve boundary value problems involving deformable solids; and understand the basis for numerical methods in solid mechanics.
2. Be proficient in the use of a modern finite element analysis program (ABAQUS/CAE) for analyzing stress, deformation and failure in components, assemblies and structures.
3. Possess the ability to apply the principles of solid mechanics to solve engineering problems and to design systems or components to meet desired needs; including (a) to idealize a system or component for the purposes of stress analysis; (b) to use appropriate numerical and analytical techniques to model the system (c) to interpret and draw appropriate conclusions from the results and (d) present results and conclusions clearly in written and oral presentations.
The formal ABET course description is here
Course Outline Fall 2009
1. Introduction1.1 Scope of the course1.2 Basic concepts of solid mechanics1.3 Introduction to computational resources2. Mathematical background2.1 Vector algebra2.2 Index notations2.3 Matrices and tensors2.4 Vector and tensor calculus3. Stress in a solid3.1 Body forces, surface forces and traction vector at a point on the surface3.2 Stress tensor at a point3.3 Principal stresses at a point3.4 Balance of momentum and equilibrium equations4. Strain in a solid4.1 Displacement field in a deformed solid4.2 Strain tensor in a Solid4.3 Principal strains at a point4.4 Compatibility conditions on a strain field4.5 Principal strains at a point5. Mechanical Behavior of Solids5.1 Role of experiments in solid mechanics5.2 Elastic material behavior5.3 Plastic material behavior5.4 Visco-elastic material behavior6. Boundary value problems for linear elastic solids6.1 Field equations for plane strain deformation6.2 Thick walled pressure vessel6.3 Field equations for plane stress deformation6.3 Plate with hole in tension, stress concentration7. Variational methods for elastic solids7.1 Principle of virtual work7.2 Variational statement of governing equations7.3 Work and energy theorems in solid mechanics7.4 Derivations of field equations for thin plate in bending8. The finite element method for numerical analyses8.1 Finite elements8.2 Element interpolation functions8.4 Element strains, stresses and strain energy density8.5 Element Stiffness Matrix8.6 Global Stiffness Matrix8.7 Boundary Loading9. Boundary value problems for elastic-plastic materials9.1 Tension-torsion of thin walled tubes9.2 Plastic limit load9.3 Approximate methods in metal forming10. Failure modes in solid mechanics10.1 Fracture10.2 Fatigue10.3 Buckling10.4 Large deflections10.5 Plastic collapse