Record Details

Two Inverse Problems In Linear Elasticity With Applications To Force-Sensing And Mechanical Characterization

Electronic Theses of Indian Institute of Science

View Archive Info
 
 
Field Value
 
Title Two Inverse Problems In Linear Elasticity With Applications To Force-Sensing And Mechanical Characterization
 
Creator Reddy, Annem Narayana
 
Subject Elasticity
Inverse Problems
Elasticity - Cauchy's Problem
Elastic Boundary Value Problem
Compliant Grippers
Elasticity - Inverse Problems
Cauchy’s Problem
Inverse Boundary Value Problem
Materials Science
 
Description Two inverse problems in elasticity are addressed with motivation from cellular biomechanics. The first application is computation of holding forces on a cell during its manipulation and the second application is estimation of a cell’s interior elastic mapping (i.e., estimation of inhomogeneous distribution of stiffness) using only boundary forces and displacements.
It is clear from recent works that mechanical forces can play an important role in developmental biology. In this regard, we have developed a vision-based force-sensing technique to estimate forces that are acting on a cell while it is manipulated. This problem is connected to one inverse problem in elasticity known as Cauchy’s problem in elasticity. Geometric nonlinearity under noisy displacement data is accounted while developing the solution procedures for Cauchy’s problem. We have presented solution procedures to the Cauchy’s problem under noisy displacement data. Geometric nonlinearity is also considered in order to account large deformations that the mechanisms (grippers) undergo during the manipulation.
The second inverse problem is connected to elastic mapping of the cell. We note that recent works in biomechanics have shown that the disease state can alter the gross stiffness of a cell. Therefore, the pertinent question that one can ask is that which portion (for example Nucleus, cortex, ER) of the elastic property of the cell is majorly altered by the disease state. Mathematically, this question (estimation of inhomogeneous properties of cell) can be answered by solving an inverse elastic boundary value problem using sets of force-displacements boundary measurements. We address the theoretical question of number of boundary data sets required to solve the inverse boundary value problem.
 
Contributor Ananthasuresh, G K
 
Date 2013-06-24T10:12:59Z
2013-06-24T10:12:59Z
2013-06-24
2010-12
 
Type Thesis
 
Identifier http://etd.iisc.ernet.in/handle/2005/2075
http://etd.ncsi.iisc.ernet.in/abstracts/2676/G24979-Abs.pdf
 
Language en_US
 
Relation G24979