From linear elasticity theory, the generalised Hooke's law for isotropic material can be written as σ i = C i j ( z ) ε j ; i, j = 1 to 6, (3)where σ i is the stress vector, C i j ( z ) is the stiffness matrix and ε j is the engineering strain vector of the material at a distance z from the middle surface with reference to the principal material axes (1, 2, 3).
Of course, these can be defined only after collection of an extensive experimental database that highlights the peculiar characteristics of these reinforcements also with reference to the substrate material.
Disagreements were resolved through discussions, with reference to the total material in the transcript [ 22].
Differences between the biofilm models can also be observed with reference to the surface material used as substratum.
We had found the same categories and there was only slight disagreement on two or three of the transcripts, and those differences were resolved through discussions and with reference to the total material in the transcripts [ 15].
In Ref. [19] are applied, with reference to the composite materials, calculation methods similar to those described above in the presence of radiative heat exchange.
Species-level identifications were verified with reference to the extant type material and assigned to most specimens.
The means of every clinical parameter of all patients over all postoperative controls were compared with reference to the used dressing material.
The results are discussed with reference to the local properties of the material within the tablet and the tablet design features.
For a good discussion of the general representationalist argument, especially with reference to the causal regularities in the material world, see Whiteley 1959.
Indeed so much in fact that the name Bellubrunnus means the "beauty of Brunn", with reference to the village where this material was found.
