Computational Biomechanics

Ziele

This course is aimed at providing basic and solid concepts in biomechanics with focus on various physiological systems, including the musculoskeletal system (growth and remodeling in muscle, bone), the cardiovascular system (arteries, aneurysms, Atherosclerosis, Dissection, blood circulation) and computational methods used for the simulation of biomechanical phenomena.

The ultimate objective of this course is to prepare the students with hands-on skills using computational packages and software to solve biomechanical problems.  This course is generally suitable for MS, and PhD students in mechanical engineering department whose major is computational biomechanics. Hence, it is suitable for those who are interested in practicing a carrier or research (probably PhD programs) in computational mechanics with a biomedical application. The students are strongly recommended that they would consider prerequisites of this course prior to registering for that.

Themen

  • A recap on continuum solid mechanics as the mathematical framework in this course
  • A brief review of anatomy and physiology of the musculoskeletal system, a range of modelling and experimental methods applied to them.
  • Biomechanical constitutive models for soft tissues in the context of isotropic as well as anisotropic hyper-elasticity
  • Application of non-elastis constitutive models such as growth, viscoelasticity, and damage in biological tissues
  • An overview of the state-of-the-art mathematical model for pathological condition in soft tissues (As an example the focus will be on Atherosclerosis, Dissection and Aneurism in arteries)
  • Thoughts and considerations regarding the numerical simulation of biological processes in a FEM framework

Kursinformationen

Vorkenntnisse

  • Technische Mechanik II, Finite Elemente I, Kontinuumsmechanik I

Literatur

  • An Introduction to Biomechanics: Solids and Fluids, Analysis and Design, J.D. Humphrey and SL O'Rourke. Springer (2015).
  • Biomechanics of Soft Tissue in Cardiovascular Systems, Gerhard A. Holzapfel & Ray W. Ogden, Springer (2003).
  • The Mathematics and Mechanics of Biological Growth, Alain Goriely, Springer (2016).