Kounadis A.N., Gdoutos E.E. (Eds.) Recent Advances in Mechanics

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The Fracture Toughness of a Highly Filled Polymer Composite 459

Thanks are also due to Dr Richard Underwood who performed the roughness

measurements. We are also grateful to Dr Lynda White, Mathematics Department,

Imperial College London, for her help with the statistical analysis.

References

1. Obakponovwe, O., Williams, J.G.: Temperature Effects on the Fatigue of Highly Filled

PMMA. J. Mat. Sci. 41, 4976–4986 (2006)

2. Stapountzi, O.A., Charalambides, M.N., Williams, J.G.: Micromechanical models for

stiffness prediction of alumna trihydrate (ATH) reinforced PMMA: effect of volume

fraction and temperature. Comp. Sci. & Tech. 69, 2015–2023 (2009)

3. Williams, J.G.: Particle toughening of Polymers by Plastic Void Growth. Comp. Sci. &

Tech. 70, 885–891 (2010)

4. Morgan, G.P., Ward, I.M.: Temperature dependence of craze shape and fracture in Poly

(methyl methacrylate). Polymer 18, 87–91 (1977)

Appendix: Statistical Parameters

The data is analysed via a linear regression of,

Ym c

−

which may be written as y=mx + c. Each set of data (at each temperature) are y

and x

The parameters used are

and==

∑

xx x x

From a best fit analysis we may find m, c and R

, the correlation coefficient. The

standard deviations for the various parameters are.

For m,

⎛⎞

=−

⎜⎟

−

⎝⎠

-c,

222

SxS

-c/m,

⎡⎤

⎛⎞ ⎛⎞

=++

⎢⎥

⎜⎟ ⎜⎟

⎝⎠ ⎝⎠

⎢⎥

⎣⎦

mm m m

/-c,

1414

⎡

⎤

⎛⎞ ⎛⎞

⎛⎞ ⎛⎞ ⎛⎞

⎢

⎥=++++

⎜⎟ ⎜⎟

⎜⎟ ⎜⎟ ⎜⎟

⎝⎠ ⎝⎠ ⎝⎠

⎢

⎥

⎝⎠ ⎝⎠

⎣

⎦

mmm

SSmm m

Sx x

cc c m c m

For all the sets used

2.42, 2.43, and =9.==xx n

Author Index

Aben, H., 181

Achenbach, Jan D., 3

Aghalovyan, Lenser A., 9

Ainola, L., 181

Banichuk, Nickolay V., 27

Bardzokas, D.I., 397

Baˇzant, Zdenˇek P., 43

Borla, O., 361

Carpinteri, A., 361

Charalambides, M.N., 447

Dafalias, Yannis F., 61

Dmytrakh, Ihor, 413

Errapart, A., 181

Evangelatos, Georgios I., 159

Faivusovich, Alexander S., 79

Feigenbaum, Heidi P., 61

Fujigaki, Motoharu, 227

Gdoutos, Emmanuel E., 383

Goldstein, Robert V., 191

Gusev, Boris V., 79

Hwang, Chi-Hung, 343

Ivanova, Svetlana Yu., 27

Kardomateas, George A., 207

Konsta-Gdoutos, M.S., 313

Kostin, Georgy V., 131

Kounadis, Anthony N., 91

Kozintsev, Viktor M., 191

Kumar, Rajesh, 329

Lacidogna, G., 361

Lamberti, Luciano, 275

Le, Jia-Liang, 43

Makeev, Evgeniy V., 27

Manuello, A., 361

Metaxa, Z.S., 313

Mkhitaryan, S.M., 397

Morimoto, Yoshiharu, 227

Panasyuk, Volodymyr, 413

Petraˇskovi´c, Zoran, 437

Popov, Aleksandr L., 191

Pryputniewicz, Ryszard J., 249

Saurin, Vasily V., 131

Sciammarella, Cesar A., 275

Sciammarella, Federico M., 275

Shah, S.P., 313

Shakher, Chandra, 329

Spanos, Pol D., 159

Stapountzi, O.A., 447

Sumarac, Dragoslav, 437

Wang, Wei-Chung, 343

Williams, J.G., 447