Inverse mechanical analysis for biological tissues

This study focuses on the application of inverse finite element methods and computational mechanic techniques in order to simulate the spinal cord s contraction described in the previous section. Specifically, the aim is to know which forces lead to some imposed displacements and boundary conditions...

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Bibliographic Details
Author: Lauwaert Luyten, Felix
Format: master thesis
Publication Date:2016
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/91473
Online Access:https://hdl.handle.net/2117/91473
Access Level:Open access
Keyword:Elastic solids
Elasticity
Strength of materials
Inverse finite element method
Traction force microscopy
Elasticitat
Resistència de materials
Classificació AMS::74 Mechanics of deformable solids::74B Elastic materials
Àrees temàtiques de la UPC::Matemàtiques i estadística
Description
Summary:This study focuses on the application of inverse finite element methods and computational mechanic techniques in order to simulate the spinal cord s contraction described in the previous section. Specifically, the aim is to know which forces lead to some imposed displacements and boundary conditions and to know the state of deformation of the full body due to the input data. In order to acquire this objective, the TFM experiment will be discretized in an appropriate way in order to apply the inverse finite element method. The scope of this study is to determine the uniqueness of the solution and it s stability for different sets of external or internal forces and imposed displacements. This parameters will be studied through numerical analysis and theoretical results will be attempted. The results of the numerical computations will be physically interpreted and illustrated.