BME - M2

[M2] Linear Finite Element Modelling 

• The objective is to summarize modern and effective finite element procedures for the linear analyses of static problems with applications in biomechanics. The material that will be discussed includes the basic finite element formulations, the effective implementation of these formulations in computer programs, and recommendations on the actual use of the methods in engineering practice. We will be using the commercial software package ABAQUS. At every session, the objective is to have 2h of theoretical considerations and 2h of practical work with ABAQUS/MATLAB.  The prerequisite of the lecture is linear elasticity (I will start from static equilibrium : div(σ)+f=0).

• Useful Ressource: Finite Element Procedures for Solids and Structures » linear Analysis

[M2] Basics in Constitutive modelling of  biological tissues

• Knowledge of the mechanical behavior of biological tissues is required to understand the clinical issues. This module aims to teach students how to model and characterize the mechanical behavior of biological tissues using classical models. The lectures will discuss the composition and structure of biological tissues to explain and justify the mechanical properties. Experimental methods and issues specific to biological tissues will be taught taking into account the ethical principles to conduct research on animals, human bodies and human-beings. Finally, methods for identification of parameters for mechanical and multi-physical models will be introduced.

[M2] Non-Linear Constitutive Modelling of biological tissues

• The objective is to present the nonlinear theory of continuum mechanics required for the modeling of the elastic properties of soft biological tissues, with particular reference to the fiber structure of such tissues. The theory will be applied to the calibration of anisotropic hyperelastic material model parameters of aortic Valve leaflets with experimental data obtained from ex vivo biaxial tests (practical session). The theory will also be applied to the calibration of the isotropic hyperelastic material model parameters of buttock soft tissue with experimental data obtained from in vivo compression tests (homework). Recent developments aiming at the characterization of the microstructure of Intervertebral Disc tissue and skin tissue will also be explored. 

[M2] Non-Elastic Constitutive Modelling of biological tissues

• This course focuses on the study and understanding of the non-elastic behaviors exhibited by materials under various loading conditions. Students will explore key concepts related to plasticity, viscoelasticity, damage mechanics, rupture and other non-linear behaviors, with an emphasis on applications in biomechanics. Through this course, students will learn to identify and model different types of material responses that deviate from classic elastic theory, as well as how to choose appropriate behaviors based on the needs of specific biomechanical applications, such as tissue modeling or implant design. The course comprises 12 hours of lectures to introduce theoretical fundamentals, 8 hours of guided exercises to apply these concepts to real-world scenarios, and 4 hours of practical lab work where students will conduct experiments and analyze data on non-elastic material behaviors. By the end of this course, students will be able to select and apply suitable material models to address challenges in biomechanics