By Prof. Dr. K. A. Padmanabhan, Prof. R. A. Vasin, Dr. F. U. Enikeev (auth.)
The current ebook goals on the following: - to stipulate in short the recommendations of mechanics of solids, fairly because it applies to pressure fee delicate fabrics, - to evaluate the current point of investigations at the mechanical behaviour of superplastics, - to formulate the most matters and demanding situations in mechanics of superplasticity, - to examine the mathematical models/constitutive equations for superplastic circulate from the point of view of mechanics, - to study the types of superplastic steel operating techniques, - to point with examples attainable new effects that may be received utilizing the equipment of mechanics of solids. it really is meant for various readers who might be drawn to the phenomenon of superplasticity for various purposes: fabrics scientists and physicists operating in academic associations and R&D devices, those that desire to paintings at the functions of superplasticity, engineers in undefined, scholars at senior undergraduate and postgraduate degrees and those that desire to comprehend the phenomenology and mechanics of superplasticity with no involvement in real learn. A reader who has publicity to straightforward differential and necessary calculus and ordinary tensor calculus at a degree taught to senior undergraduate scholars at a technical college should not have any hassle in following the remedies. The analytical systems are defined in an Appendix with easy examples.
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Extra info for Superplastic Flow: Phenomenology and Mechanics
Strength of materials, mechanical engineering. ) In mechanics of solids, mechanical and thermal interactions are usually considered along with deformation in small volumes. , grain size. In this case, the representative volume should contain a sufficient number of grains to average out the effects of individual ones. At the same time, the representative volume should be sufficiently small compared with the dimensions of the body (the specimen) so that the idea of an infinitesimally small volume is still valid.
Further work is necessary in this regard. Non-uniform stress-strain state present during superplastic flow has been mostly ignored. But, this feature is of immense industrial importance. The effect of temperature on optimal supeprlastic flow is not fully characterised. Also, it is wellknown that the stress state as well as the presence or absence of a hydrostatic pressure shifts the optimal range of flow [4, 88, 89, 127, 128]. Thus, the simple constitutive equation (J' = K~ m and experimental data based only on uniaxial testing are not sufficient to understand superplastic flow of practical interest.
Qa and Q~ depend on temperature and the stress/strain rate level at which they are determined. Therefore, they are apparent values and do not have a physical meaning. So, the concept of true activation energy is introduced. , [76,149,150,155,159-161]. , in Region III QJ ) where the contributions from dislocation creep and grain boundary sliding can be comparable). Evidently, 'fictitious' activation energies, like the apparent ones, have no physical meaning. 24 1 Phenomenology of Superplastic Flow One can show that the equalities Q~ = Qa and Qi = Q~ are valid only if these activation energies are temperature independent.
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