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Table 4 Calculations details of the adequacy of the model, case of power model

From: Effect of the loading duration on the linear viscoelastic parameters of tropical wood: case of Tectona grandis L.f (Teak) and Diospyros mespiliformis (Ebony) of Benin Republic

y exp

Ycal

ei= y exp – Y cal

e i 2

d = y exp y exp ¯

d 2

d i

 

Case of Tectona grandis L.f

 

8.23

7.97

0.2555

0.065

1.954

3.819

0.021

7.49

7.38

0.1068

0.011

1.214

1.474

0.009

6.92

6.99

−0.0705

0.005

0.644

0.415

−0.006

6.56

6.70

−0.1403

0.020

0.284

0.081

−0.011

6.3

6.47

−0.1722

0.030

0.024

0.001

−0.014

6.16

6.29

−0.1254

0.016

−0.116

0.013

−0.010

6.06

6.13

−0.0679

0.005

−0.216

0.047

−0.006

5.96

5.99

−0.0323

0.001

−0.316

0.100

−0.003

5.88

5.87

0.0065

0.000

−0.396

0.157

0.001

5.78

5.77

0.0119

0.000

−0.496

0.246

0.001

5.71

5.67

0.0365

0.001

−0.566

0.320

0.003

5.65

5.59

0.0621

0.004

−0.626

0.392

0.005

5.6

5.51

0.0902

0.008

−0.676

0.457

0.007

5.56

5.44

0.1220

0.015

−0.716

0.512

0.010

 

Case of Diospyros mespiliformis

 

6.29

6.08

0.214

0.046

0.904

0.817

0.0228

5.84

5.86

−0.024

0.001

0.454

0.206

−0.0026

5.62

5.69

−0.072

0.005

0.234

0.055

−0.0076

5.45

5.55

−0.096

0.009

0.064

0.004

−0.0102

5.34

5.42

−0.081

0.007

−0.046

0.002

−0.0086

5.27

5.31

−0.041

0.002

−0.116

0.014

−0.0044

5.2

5.21

−0.014

0.000

−0.186

0.035

−0.0015

5.14

5.13

0.013

0.000

−0.246

0.061

0.0014

5.09

5.05

0.042

0.002

−0.296

0.088

0.0045

5.03

4.98

0.055

0.003

−0.356

0.127

0.0058

4.98

4.91

0.071

0.005

−0.406

0.165

0.0075

  1. Where,
  2. y exp : creep value obtained experimentally;
  3. Ycal: creep value calculated using the model; y exp ¯ sample means of observations; d i = e i σ ^ 2 : standardized residual; σ ^ 2 : variance.