Foundations of Solid Mechanics I

3.0 credits · Graduate

An in-depth introduction to the fundamentals of kinematics of deformation, traction and stress, and balance of momentum. Constitutive theory for linear and nonlinear elastic bodies, including isotropic and orthotropic behaviors, restrictions from symmetry and strain energy, and length scale limitations stemming from a material's physical structure. Boundary conditions, requirements for well-posed problems, and uniqueness. Basic theorems and principles for elastostatics, with emphasis on virtual work, upper and lower bounds, and superposition.