This is a basic course in continuum mechanics. In the course the mechanics of deformable bodies (both fluids and solids) will be considered. The topic is of great relevance to understand the functioning of the human body. Notable examples of applications of continuum mechanics to human physiology are the study of blood circulation in the cardiovascular system or muscle mechanics. During the course various examples of interest to bioengineers will be discussed.
This course aims to provide concept of strain and tension. Elasticity. Spring beam theory and applications. Hydrostatic. Continuity and motion equations in global form and applications. Dimensional analysis. Motion of fluid currents. Bernoulli's theorem.
At the end of thre course students will be able to solve simple, yet very relevant, problems concerning fluid and solid mechanics and will understand their relevance in bioengineering.
Notions of mathematics.
Frontal lessons and class exercises.
Introduction to the course. The notion of continuum medium. Stress in continuum bodies. State of stress in a fluid at rest: hydrostatic forces, surface tension. Kinematics of continuum bodies:spatial and material coordinates, Reynolds transport theorem, deformation and rate of deformation. Equations of motion. Constitutive equations for viscous fluids. Unidirectional flows. Low and high Reynolds number flows. Constitutive relation for linear elastic solids. Elastodynamics: isotropic expansion, shear deformation, uniaxial deformation. Elastodynamics: wave propagation in solids.
Course lecture notes.
RODOLFO REPETTO (President)
ALBERTO LAGAZZO
FABRIZIO BARBERIS (President Substitute)
NICOLETTA TAMBRONI (Substitute)
https://corsi.unige.it/8720/p/studenti-orario
Written and oral.
In the written exam students will be asked to solve problems similar to those considered during class hours. In the oral exam also questions related to the theoretical part of the course will be asked.
