An introduction to finite deformation continuum mechanics and nonlinear material behavior. Coverage of basic tensor- manipulations and calculus, descriptions of kinematics, and balance laws . Discussion of invariance principles and mechanical response functions for elastic materials.

Basics: Position of a material point, velocity, kinematics of rigid bodies, forces, reaction principle, mechanical powerStatics: Groups of forces, moments, equilibrium of rigid bodies, reactions at supports, parallel forces, center of gravity, statics of systems, principle of virtual power, trusses, frames, forces in beams and cables, friction.

The course introduces general methods for the analysis of stress and deformation states in mechanical parts, as needed to optimize their design and to ensure their mechanical integrity. Starting from the derivation of the basic problem, the concepts are extended to consider anisotropic materials, plasticity, viscoelasticity and viscoplasticity. Examples of engineering applications are discussed.