r/R

fr/fR

ρr

ur

pr

qr

Tr

sr

Fr

dTr/dr

Cr = dur/dTr

dur/dr

(kg/m4)

(Joules/m4)

(Newtons/ m3)

(Joules/m4)

(K)

(Joules/

(m4K))

(Newtons)

(K/m)

(Joules/

m4K)

(Joules/ m5)

0.000001

5.21E+37

1.39E+16

5.00E+32

1.25E+32

6.25E+32

1.01E+09

6.19E+23

6.36E+43

−2.05E+05

2.48E+24

−5.08E+29

0.03

4.82E+37

4.77E+02

1.71E+19

4.28E+18

2.14E+19

2.05E+06

1.05E+13

5.89E+43

−1.46E−02

4.18E+13

−6.10E+11

0.06

3.81E+37

4.71E+01

1.69E+18

4.24E+17

2.12E+18

1.29E+06

1.64E+12

4.65E+43

−5.28E−03

6.57E+12

−3.47E+10

0.09

2.58E+37

9.45E+00

3.40E+17

8.49E+16

4.24E+17

9.35E+05

4.54E+11

3.15E+43

−3.10E−03

1.82E+12

−5.63E+09

0.12

1.49E+37

2.31E+00

8.29E+16

2.07E+16

1.04E+17

7.05E+05

1.47E+11

1.82E+43

−2.19E−03

5.88E+11

−1.29E+09

0.15

7.39E+36

5.84E−01

2.10E+16

5.25E+15

2.63E+16

5.36E+05

4.90E+10

9.02E+42

−1.67E−03

1.96E+11

−3.27E+08

0.18

3.13E+36

1.43E−01

5.14E+15

1.29E+15

6.43E+15

4.05E+05

1.59E+10

3.82E+42

−1.31E−03

6.36E+10

−8.35E+07

0.21

1.13E+36

3.26E−02

1.17E+15

2.93E+14

1.47E+15

3.01E+05

4.87E+09

1.38E+42

−1.03E−03

1.95E+10

−2.02E+07

0.24

3.50E+35

6.77E−03

2.43E+14

6.08E+13

3.04E+14

2.20E+05

1.38E+09

4.28E+41

−8.06E−04

5.53E+09

−4.46E+06

0.27

9.28E+34

1.26E−03

4.52E+13

1.13E+13

5.65E+13

1.57E+05

3.60E+08

1.13E+41

−6.16E−04

1.44E+09

−8.88E+05

0.3

2.10E+34

2.08E−04

7.47E+12

1.87E+12

9.34E+12

1.09E+05

8.53E+07

2.57E+40

−4.60E−04

3.41E+08

−1.57E+05

0.5

1.94E+28

4.14E−11

1.49E+06

3.72E+05

1.86E+06

5.00E+03

3.72E+02

2.37E+34

−3.15E−05

1.49E+03

−4.68E−02

1

1.00E+00

2.67E−40

9.60E−24

2.40E−24

1.20E−23

7.26E−03

1.65E−21

1.22E+06

−8.69E−11

6.61E−21

−5.74E−31