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

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

Stress tensor, deformations, linear elastic solids, bending of prismatic beams, numerical methods, bending, torsion, plastic work and deformation energy, energy methods, buckling.

Strength of Materials: Stress tensor, strain tensor, linear elastic stress strain relation, tension, bending and torsion of beams, numerical methods, elastic strain energy, work energy methods, buckling of beams, introduction to plasticity, time dependent material behavior and fracture mechanics.

Introduction to statistical mechanics applied to elasticity for engineers. Treatment of polymers and crystalline solids, notions of ensembles, phase spaces, partitions functions, derivation of constitutive relations, polymer chain statistics, polymer networks, harmonic and quasi-harmonic crystalline solids, limitations of classical methods and quantum mechanical influences.