Program : Engineering Design & Product Development (EDPD)

Degree : PhD

Course Code : EDD 713

Course Name : Continuum Mechanics

Course Category : Compulsory Core Courses

Semester : First Semester

Credit Hours : 3

Tensor Algebra. Integral theorems (after Gauss or Stokes). Kinematics and deformation (Lagrangian and Eulerian formulations), force and stress vectors. Cauchy, Kirchhoff and Piola-Kirchhoff stress tensors. The balance Laws: mass, energy, momentum and angular momentum balances). The constitutive laws. d'Alembert's principle and the principle of virtual work. Linear and nonlinear elasticity, thermo-elasticity and viscoelasticity. Computational continuum mechanics: strong and weak formulation of the boundary-value problem, fundamental numerical concepts (discretization techniques for static and dynamic systems, linearization techniques and
iterative analyses of nonlinear systems). Analyses of different thermomechanical systems.