Ing Ind - Inf (Mag.)(ord. 270) - MI (471) BIOMEDICAL ENGINEERING - INGEGNERIA BIOMEDICA
096236 - MECHANICS OF BIOLOGICAL STRUCTURES
The purpose of this course is to provide the students with an approach to the tissue mechanics aimed at obtaining the relationship between function-property-microstructure. On the basis of the experimental observations of the mechanical response of the tissues, predictive models allowing for the knowledge of the constituents properties are formulated.
Risultati di apprendimento attesi
The students will learn the modeling approach for the basic mechanical response of biological tissues with reference to both soft and hard tissues. Furthermore, the students will learn how to formulate and solve simple boundary value problems in which specific biological structures are subjected to loads: governing equations, boundary conditions and solution strategies. The students will learn how to critically discuss the results of the boundary value problems with specific reference to the physiological and pathological conditions of the tissues.
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.
Basic solid mechanics, biomechanics
Modalità di valutazione
In the Oral examination the students should show:
- their capability to clearly describe the theoretical approaches to the mechanics of biological tissues;
- their capability to write governing equations for a specific problem with non linear anisotropic material properties (examples are: uniaxial tension of non linear materials like soft biological tissues; biaxial stretching, inflation of soft tubes, inflation of arteries ...);
- their capability to solve the above mentioned problems.
S. Cowin, S. Doty, Tissue Mechanics, Editore: Springer
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Tipo Forma Didattica
Ore di attività svolte in aula
Ore di studio autonome
Laboratorio Di Progetto
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Insegnamento erogato in lingua
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