Lecturer: Giovanni Magenes  

Course name: Analysis And Modeling Of Biological Tissues
Course code: 504018
Degree course: Bioingegneria
Disciplinary field of science: ING-IND/34,ING-INF/06
L'insegnamento è caratterizzante per: Bioingegneria
University credits: ECTS 12
Course website: n.d.

Specific course objectives

Part A. Constitutive modeling of materials
The course wishes to introduce the attending student to analytical and numerical mathematical models for the description of material costitutive behavior.
Starting from a general theory for deformable bodies, we will discuss elastic and inelastic relations (presenting visco-elastic, visco-plastic and plastic models, possibly with some comments on damage and fatigue), for isotropic and non-isotropic materials, giving also some hints on their numerical solutions.
We will also discuss the extension of some specific models to the finite strain regime.

Course programme

Course entry requirements

Course structure and teaching

Lectures (hours/year in lecture theatre): 90
Practical class (hours/year in lecture theatre): 0
Practicals / Workshops (hours/year in lecture theatre): 0

Suggested reading materials

Part A. Constitutive modeling of materials
Notes prepared by the teacher

Extra material for further studies:

• Besson, J. et al. (2010) Non-linear mechanics of materials. Springer
• Bonet, J. and R. Wood (1997). Nonlinear Continuum Mechanics for finite element analysis. Cambridge University Press.
• Hjelmstad, K. (1997). Fundamentals of Structural Mechanics. Prentice Hall.
• Holzapfel, G. (2000). Nonlinear solid mechanics: a continuum approach for engineering. John Wiley & Sons.
• Lemaitre, J. and J. Chaboche (1990). Mechanics of solid materials. Cambridge University Press.
• Lubliner, J. (1990). Plasticity theory. Macmillan.
• Simo, J. and T. Hughes (1998). Computational inelasticity. Springer-Verlag.
• Zienkiewicz, O. and R. Taylor (1991). The finite element method (fourth ed.), Volume II. New York: McGraw Hill.

Testing and exams

Part A. Constitutive modeling of materials
Written and oral final exam, with discussion of the proposed homeworks suggested during the course and eventually of a either theoretical or numerical final project.