The lectures will follow a logical sequence on the basis of the modeling approaches. In particular, hard tissues like bone and soft tissues like arteries and ligaments will be selected as representative examples.
anisotropy of hard tissues: modeling material symmetries;
bone tissue as a composite material;
property-structure relationship at nano- and microscopic level;
brief introduction to homogenization methods for heterogeneous materials.
Trabecular bone tissue:
brief introduction to mechanical behaviour of cellular solids; simple mechanical models for elastic and post-elastic response of trabecular bone;
soft tissues: (vascular walls, tendons and ligaments, cartilage)
Brief description of tissue composition;
Kinetics and kinematics of tissues subjected to large deformations;
Constitutive relationships for isotropic and anisotropic tissue reponse;
Simple boundary value problems with specific reference to tissues;
Modeling of time dependent response of tissues: viscoelasticity;
Mechanics of cartilage: cartilage poroelasticity.
In addition to theoretical lectures, exericises on selected boundary value problems will be solved. Furthemore, practical lectures in which application of the finite element method to specific tissue mechanics problems will be given.
In this course, a "collaborative class" with the University of Liegi will be active. In this initiatives, students may take part to working group with students from the university of Liegi with the purpose to develop joint projects that will be object of the final exam. Project description and specific tutorials will be given during the course.