Continuum Mechanics

Course content

Tensor algebra and calculus. Kinematics of geometrically nonlinear deformations. Tangent, volume, and area maps. Rates of deformation and strain tensors. Pull back and push forward operations. Fundamental stress measures. Conservation laws of continuum thermodynamics. Principles of material frame invariance. Objective rates. Concepts of material symmetry. Fundamental potentials of thermodynamics. Colemans exploitation method. Compressible and incompressible hyperelasticity and its algorithmic aspects. Representative constitutive models of hyperelasticity.