UE Selected topic in continuum mechanics

• Kinematics : Physical space ‐ frames ‐ continuous media ‐ deformation function ‐ Lagrange and Euler variables
• Strains : Deformation gradient ‐ metric tensor ‐ Green deformation tensor ‐ small strains ‐ strain rate
• Material derivative  and conservation laws
• Mass conservation ‐ volume change ‐ balance of momentum
• Stresses : Fundamental principle of dynamics ‐ Cauchy stress tensor‐equation of motion and boundary conditions ‐ Piola‐Kirchhoff stress tensors ‐ virtual power formulation ‐ linearization of equation of motion
• Examples of formulations of problems of continuum mechanics
• Frame invariance

Constitutive equations: Large elasticity ‐ elastoplasticity incremental constitutive equations, generalized continuous media, Non local, second grade, Cosserat and micromorphic continuum mechanics ‐ an introduction