School of Civil Engineering

High Performance Computing Laboratory

“Multiscale Simulation of Soft Bio-mechanical Tissues”

Farshid Fathi and Soheil Mohammadi

http://chpc.ut.ac.ir August 2015

Phenomenological inelastic model:

-Abdominal Aorta: 1

1 3 11/3

3 3

iso 13 2 , 0, 0, 1.

Ic I c

I I

2

2

2

2( ) (1) (2)

1 4 4 4

1

(1) (1) (2)aniso

1 4 4 4

(2) (1) (2)

1 4 4 4

(1) (2)

4 4

[ ( 1) ] for 1 1,

( 1) for 1 1,

( 1) for 1 1,

0 for 1 1.

a

a

I I I

I I I

I I I

I I

-Skin:

1

21 1 1exp 1 1 1 1

2

1 1exp 1 1

4

s

r r r

r r

r

rr c

r r

J III J

I

Multiscale analysis:

-Tendon: a) Fibril 4

1

fl

fl 32

II

1 4 1 f

fl fm

fl f fm sfiber ,I I I F F ,

where 1

fm

fm 32

I

and 1 1

fb

fffs

2

e I I

F

c) Tissue f m

m stissue fiber

b) Fiber