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

5.87E+47

1.57E+31

5.63E+47

1.41E+47

7.04E+47

1.03E+12

6.80E+35

7.16E+43

−2.10E+13

2.72E+36

−5.72E+49

0.03

5.31E+47

5.25E+17

1.89E+34

4.72E+33

2.36E+34

2.09E+09

1.13E+25

6.49E+43

−1.51E+06

4.52E+25

−6.81E+31

0.06

3.95E+47

4.88E+16

1.75E+33

4.39E+32

2.19E+33

1.30E+09

1.69E+24

4.82E+43

−5.56E+05

6.75E+24

−3.75E+30

0.09

2.41E+47

8.81E+15

3.17E+32

7.92E+31

3.96E+32

9.22E+08

4.29E+23

2.94E+43

−3.32E+05

1.72E+24

−5.70E+29

0.12

1.20E+47

1.86E+15

6.68E+31

1.67E+31

8.36E+31

6.76E+08

1.24E+23

1.47E+43

−2.35E+05

4.95E+23

−1.16E+29

0.15

4.94E+46

3.91E+14

1.40E+31

3.51E+30

1.76E+31

4.95E+08

3.55E+22

6.03E+42

−1.77E+05

1.42E+23

−2.52E+28

0.18

1.66E+46

7.61E+13

2.74E+30

6.84E+29

3.42E+30

3.57E+08

9.59E+21

2.03E+42

−1.36E+05

3.84E+22

−5.21E+27

0.21

4.59E+45

1.32E+13

4.76E+29

1.19E+29

5.94E+29

2.51E+08

2.37E+21

5.60E+41

−1.03E+05

9.46E+21

−9.74E+26

0.24

1.04E+45

2.01E+12

7.22E+28

1.80E+28

9.02E+28

1.72E+08

5.24E+20

1.27E+41

−7.62E+04

2.09E+21

−1.60E+26

0.27

1.93E+44

2.62E+11

9.42E+27

2.36E+27

1.18E+28

1.15E+08

1.03E+20

2.36E+40

−5.47E+04

4.11E+20

−2.25E+25

0.3

2.95E+43

2.91E+10

1.05E+27

2.62E+26

1.31E+27

7.39E+07

1.77E+19

3.60E+39

−3.80E+04

7.08E+19

−2.69E+24

0.5

6.70E+35

1.43E+02

5.15E+18

1.29E+18

6.43E+18

1.61E+06

3.99E+12

8.18E+31

−1.26E+03

1.60E+13

−2.02E+16

1

1.00E+00

2.67E-35

9.60E-19

2.40E-19

1.20E-18

7.26E-02

1.65E-17

1.22E-04

−1.10E-04

6.61E-17

−7.24E-21