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Given data ) File name: 'BiaxData.txt' 0.105376913,0.608644075,-0,-0,-0,-0 0.115333948,0.611257461,0.000330284596940253,-0.000150127745024663,0.000112709327733994,4.40176303206957e-05 0.125096351,0.612790129,0.00066032633070282,-0.0002963674560545,0.000217650857621509,9.15503058743595e-05 0.134731728,0.613570455,0.000990195790953351,-0.000438766430672533,0.00031501920845298,0.00014244106992835 0.144313991,0.613943367,0.00131993604490713,-0.000577379448463621,0.00040501278411963,0.000196517648586598 0.153917049,0.614253794,0.00164962770245247,-0.00071226636545361,0.000487816652280474,0.000253657504542759 0.16361481,0.614846666,0.00197929964654387,-0.000843455284851181,0.000563635254092675,0.000313692868232641 0.173481186,0.616066911,0.00230902415899248,-0.000971026882873646,0.000632646629484291,0.000376483633020514 0.183590085,0.61825946,0.00263884931712597,-0.00109500679083819,0.000695044406779934,0.000441882122071127 0.194015417,0.621769241,0.0029688299005296,-0.00121545733666204,0.000751000859875502,0.000509745705349294 0.204831092,0.626941184,0.00329902316068079,-0.001332431674112,0.000800708355396906,0.000579930491119638 Columns in file: Axis 1

Given data )

 

File name: 'BiaxData.txt'

 

0.105376913,0.608644075,-0,-0,-0,-0

0.115333948,0.611257461,0.000330284596940253,-0.000150127745024663,0.000112709327733994,4.40176303206957e-05

0.125096351,0.612790129,0.00066032633070282,-0.0002963674560545,0.000217650857621509,9.15503058743595e-05

0.134731728,0.613570455,0.000990195790953351,-0.000438766430672533,0.00031501920845298,0.00014244106992835

0.144313991,0.613943367,0.00131993604490713,-0.000577379448463621,0.00040501278411963,0.000196517648586598

0.153917049,0.614253794,0.00164962770245247,-0.00071226636545361,0.000487816652280474,0.000253657504542759

0.16361481,0.614846666,0.00197929964654387,-0.000843455284851181,0.000563635254092675,0.000313692868232641

0.173481186,0.616066911,0.00230902415899248,-0.000971026882873646,0.000632646629484291,0.000376483633020514

0.183590085,0.61825946,0.00263884931712597,-0.00109500679083819,0.000695044406779934,0.000441882122071127

0.194015417,0.621769241,0.0029688299005296,-0.00121545733666204,0.000751000859875502,0.000509745705349294

0.204831092,0.626941184,0.00329902316068079,-0.001332431674112,0.000800708355396906,0.000579930491119638

 

Columns in file: 

Axis 1 load [g]Axis 2 load [g]dudxdvdxdudydvdy

 

Where dudx, dvdx, dudy and dvdy are components of the displacement gradient tensor

 

Tissue sample dimensions:

Thickness: 2.2022 [mm]

Length: 8.94 [mm]

Width: 8.60 [mm]

 

Given the planar biaxial data, based on the tissue dimensions and displacement gradient, 

1. Compute and plot the deformation gradient F as a function of time. 

2. Decompose F into R and U and plot each tensor as a function of time. 

3. Compute the Green strain tensor and plot as function of time. 

4. Plot E11 vs. E22. 5. Compute and plot the 1st Piola-Kirchhoff stress tensor as a function of time. 

6. Plot the normal stress as a function of normal strain relations (1st PK stress and Green strain).

You are welcome to plot the normal and shear components in two different graphs. 

 

How do I set up the MATLAB for this?

Step by Step Solution

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To set up MATLAB for the given task you will need to follow these steps to process the biaxial data and compute the required quantities Heres a stepbystep guide to help you get started 1 Load the Data ... blur-text-image

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