Course Info

Tue 9:30 – 12:00, Zoom  

Goals

An introduction to the mathematical foundations of continuum mechanics for modeling and simulation of soft biological materials. Vectors and tensors, properties and basic operations. Kinematics of nonlinear tissue deformation. Conservation laws, thermodynamics. Stress. Constitutive equations of biological materials. Elastic, viscous, and viscoelastic response. Linearization. Simple problems in finite and linear elasticity. Growth, muscle contraction, shrinking, and remodeling in biological tissues.  

Syllabus

Week	Topic
1	Introduction to Continuum Mechanics
2	Tensor Algebra
3	Kinematics 1
4	Kinematics 2
5	Concept of Stress
6	Balance Principles
7	Aspects on Objectivity
8	Hyperelastic Materials 1
9	Hyperelastic Materials 2
10	Variational Principles
11	Implementation in the Finite Element Framework
12	Constitutive Modeling
13	Applications in Bioengineering
14	FINAL EXAM

 

Grading

• 15% Homework
• 20% Brain Dissection Lab
• 15% Final Presentation
• 50% Class Project