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Rheology

Class at Faculty of Mathematics and Physics |
NBCM064

Syllabus

* Introduction

Rheology is a general theory of relations between tension, deformation and rate of deformation in real materials. It comes out from the elasticity theory of solids and from the theory of viscous liquids. The straight line between solids and liquids is made vague in rheology what is expressed in the Greek slogan "panta rei" This slogan "panta rei - all flows" is reflected in the name "Rheology" of the new discipline

* Main terms

The expressions tension, deformation and rate of deformation will be thoroughly studied. The large deformation tensor will be also introduced and the necessity of distinguishing between non-deformed and deformed states in the theory of large deformations will be emphasized.

* Rheological classification of materials

The main categories of materials will be given: Hook`s (classical elastic) material, Newton`s and non-Newton`s viscous liquids, viscoelastic materials, plastic materials. The graphic models of these materials will be introduced. It will be also shown how more complex rheological materials may be described by combination of these simple models.

* Rheological behaviour of special materials

This part of the lecture may be modified due to the speciality of students who will attend it. Originally, it has been prepared for students of polymer science. But it is possible to devote it also to the study of biomaterials, i. e. to biorheology, to the study of non-Newtonian liquids and their technological treatment. For several years it has been taught for postgraduate students of geophysics and geology.

Annotation

Rheology studies relations among stress, deformation and rate of deformation in real materials. It is a generalisation of the classical theory of elasticity and the theory of flow of viscous liquids.

The difference between solids and liquids is felt as disappearing in rheology. The name rheology comes from the Greek expression "panta rei" - all flows.