## The science of heterogeneous polymers: structure and thermophysical propertiesThe Science of Heterogeneous Polymers Structure and Thermophysical Properties V. P. Privalko Academy of Sciences of the Ukraine, Kiev, Ukraine and V. V. Novikov Odessa Polytechnical Institute, Odessa, Ukraine The impact of structural heterogeneity on the materials science of polymers cannot be understated, and has provided the stimulus for the production of this comprehensive treatise on the subject. Presented in two parts, the first reviews evidence of heterogeneity of filled polymers, polymer blends and co-polymers on different structural scales. The second section is devoted to the analysis of composition, dependence of heat conductivity and thermoelastic parameters of different polymeric materials, and also develops the Step-by-Step Averaging approach. Providing both a critical evaluation of characterization methods and a quantitative description of composition-dependent properties, The Science of Heterogeneous Polymers will have broad appeal within academic and industrial sectors, being of particular interest to researchers and postgraduate students of materials and polymer science, as well as engineers and technicians developing polymers for advanced technologies. |

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Page xi

Notations A energy

the Vogel-Tamman equation; interaction energy

chain thickness C number of external degrees of freedom per macromolecule Cc

...

Notations A energy

**density**of elastic deformation at the interface B parameter ofthe Vogel-Tamman equation; interaction energy

**density**for binary blends b0chain thickness C number of external degrees of freedom per macromolecule Cc

...

Page 73

(2.30) [i.e. K' # const = /(S)] imply a

thickness of the latter, Ar, may be obtained from the following general expression:

Ar = C<r, (2.31) where C is a numerical constant which depends on the ...

(2.30) [i.e. K' # const = /(S)] imply a

**density**gradient across the BI; in this case, thethickness of the latter, Ar, may be obtained from the following general expression:

Ar = C<r, (2.31) where C is a numerical constant which depends on the ...

Page 221

Appendix 1 A.1 ELEMENTS OF THE PROBABILITY THEORY A.l.l THE

PARTITION FUNCTION AND THE PROBABILITY

x = *(<«), 's a random quantity if for any x( — oo < x < oo) the ensemble of al

satisfying the ...

Appendix 1 A.1 ELEMENTS OF THE PROBABILITY THEORY A.l.l THE

PARTITION FUNCTION AND THE PROBABILITY

**DENSITY**A numerical function,x = *(<«), 's a random quantity if for any x( — oo < x < oo) the ensemble of al

satisfying the ...

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### Contents

Polymer Blends | 57 |

Copolymers | 101 |

THERMOPHYSICAL CHARACTERIZATION | 137 |

Copyright | |

4 other sections not shown

### Common terms and phrases

assuming binary block copolymers broken line chain Chem compatible Composition dependence contribution corresponding crystalline crystallization decrease density derived effective conductivity elastic enthalpy entropy equation equilibrium estimated excess experimental data filled polymers filled samples filler content filler particles free energy function Gibbs free energy glass transition temperature heat capacity heat conductivity homopolymers inclusions increase interactions interface isotactic Kiev kinetics latter lattice layers linear Lipatov Yu liquid lower bounds Macromolecules microphase modulus molecular morphology nucleation observed obtained oligomers parameters percolation percolation threshold phase separation physical PMMA poly(ethylene poly(methyl methacrylate polymer blends polymer melt Polymer Phys Polymer Sci polymer systems polymeric polystyrene polyurethane predictions pressure Privalko V. P. properties pure polymer quantities relaxation respectively segments single-phase solid line specific volume spherulite spinodal spinodal decomposition structure surface temperature interval tensor theoretical thermodynamic thickness values viscosity Vysokomol Young's modulus Zhurn