Models of Mechanics

Aim

From a theoretical point of view the course makes clear that different theories of mechanics, like particle mechanics, rigid body mechanics, linear elasticity, thermal energy transport, viscous and inviscid fluids, beam theory, pipe flow, etc, all have a common basis consisting of a few universal ideas.From a practical point of view the student is given access to a toolbox of mathematical models that can be used in analysis and design of industrial products as well as in understanding natural phenomena.The course is unique in its focus on generality and brings together several traditional disciplines in the same frame.One of the goals of the course is to give practise in technical/scientific writing and modelling.

Content

The universal laws of mechanics: Euler's laws, conservation of mass.The basic models of mechanics: discrete, one-, two- andthree-dimensional. Special models for beams, linearelasticity, rigid bodies, trusses, viscous and inviscid flow and flow in pipes. A general mathematical structure for equilibrium problems.Introduction to numerical tools.