Continuum Mechanics

In this course, the mathematical foundations of continuum solid mechanics are elaborated. This includes the classical theoretical approaches that describe the kinematics, kinetics and constitutive behavior of three-dimensional continua at small and large deformations as well as the governing balance laws.

The most important ingredients are:

• tensor algebra and analysis
• balance laws (mass, momentum, energy, entropy)
• thermodynamic consistency
• spatial and material descriptions
• kinematics of continua at finite deformations
• definition of various stress measures
• constitutive theory