Fundamentals of Mechanical Analysis

In this course, the students will acquire the basic know-how to formulate the equations describing the mechanical behaviour of continuous media. Mathematical tools, namely tensor algebra and tensor calculus will be described. Subsequently, kinematics in a geometrically non-linear setting will be discussed in detail along with Eulerian and Lagrangian descriptions. Non-linear stress measures will be used to formulate conservation of mass, linear and angular momentum. The course contents are the foundation of mechanical analysis.