The structural properties of all diagrammatic expansions developed so far can be analyzed systematically with the help of functional equations. In Chapter 3 we have seen that the correlation functions obtained from the functional derivatives of Z[j] via relation (2.14), and the generating functional itself, contain many disconnected parts. Ultimately, however, we shall be interested only in the...

where ε > 0 is very small and Σ ⊂ R is Lipschitz, open and bounded. A point of Σε is denoted by (x, x3) with x ∈ Σ and x3 ∈]− ε 2 , ε 2 [. Let W : M 3×3 → [0,+∞] be the stored-energy function supposed to be continuous and coercive, i.e., W (F ) ≥ C|F | for all F ∈ M and some C > 0. In order to take into account the important physical properties that the interpenetration of matter does not occur...

Abstract-In order to adequately reproduce the thermo-mechanical behaviour of metals under finite volume reduction and large temperature increase, it is necessary to use the second order thermoelastic analysis, i.e. to use the free energy function expanded up to the third degree in strain and tcmpcrature. Determination of the corresponding material constants is given and the resulting expression...

In this work we analyze and compare the free volume of a polymer system poly(vinyl methylether) (PVME) at 300 K obtained by the two direct but different approaches: Positron annihilation lifetime spectroscopy (PALS) and computer simulations. The free volume is calculated from the simulated cells of PVME by means of numerical methods based on grid scanning and probing the structure with a probe ...

Positron annihilation spectroscopy in lifetime measuring mode exploring conventional fast-fast coincidence ORTEC system is employed to characterize free volume structure of commercially available acrylic-type dental restorative composite Charisma® (Heraeus Kulzer GmbH, Germany). The measured lifetime spectra for uncured and light-cured composites are reconstructed from unconstrained x3-term fit...