Computational Biomechanics

Data is displayed for academic year: 2024./2025.

Lecturers

Prof.
Igor Karšaj
Asst. Prof.
Lana Virag

Course Description

Within the course, the basics of the finite element method will be given. Students will learn to use commercial finite element packages.The course will show ways to add user finite elements as well as user programs that describe the behavior of the material.Under the supervision of the lecturer, students will code certain material behavior through user programs to describe the finite element and material behavior.

Study Programmes

Learning Outcomes

  1. Create an optimal numerical procedure for solving a given problem in biomechanics
  2. Apply the finite element method
  3. Develop a simplified computational model
  4. Apply existing theoretical models of biological tissue behavior to a given problem
  5. Analyze the results of numerical analysis
  6. Estimate the error of numerical analysis with respect to the applied numerical procedure

Forms of Teaching

Lectures

Independent assignments

Week by Week Schedule

  1. Lectures: Formulation of finite element method, interpolation polynomials, application of Galerkin method for derivation of the finite element.
  2. Lectures: Definition of the boundary conditions, assembly of the global finite element equation
  3. Lectures: One-dimensional finite elements, bar elements.
  4. Lectures: Two-dimensional finite elements: basic triangular element and high-order triangular elements.
  5. Lectures: Three-dimensional finite elements.
  6. Lectures: Introduction to coding of the finite element in FEAP
  7. Lectures: Introduction to coding of the finite element in FEAP
  8. Lectures: Introduction to coding of material behavior in FEAP
  9. Lectures: Introduction to coding of material behavior in FEAP
  10. Lectures: Numerical modelling of soft tissue
  11. Lectures: Implementation of element and material subroutines under guidance of the lecturer
  12. Lectures: Implementation of element and material subroutines under guidance of the lecturer
  13. Lectures: Implementation of element and material subroutines under guidance of the lecturer
  14. Lectures: Implementation of element and material subroutines under guidance of the lecturer
  15. Lectures: Implementation of element and material subroutines under guidance of the lecturer

Literature

(.), Sorić, J.: Metoda konačnih elemenata, Golden marketing, Zagreb, 2004,
(.), Sorić, J.: Uvod u numeričke metode u strojarstvu. Fakultet strojarstva i brodogradnje, Zagreb, 2009,
(.), Fung, Y. C. Biomechanics: Mechanical Properties of Living Tissues. New York, NY: Springer-Verlag, 1993. ISBN: 9780387979472,
(.), Humphrey JD, Cardiovascular Solid Mechanics - cells, Tissues, and Organs, Springer, 2001,

For students

General

ID 261445
  Winter semester
5 ECTS
L3 English Level
L1 e-Learning