Abstract
Publisher Summary A physical theory attempts to explain why things happen the way they do, but may not embody mathematical simplicity. The plastic stress-strain relationship of polycrystalline solids is derived from that of single crystals or subcrystals. This chapter discusses the development of the physical theory, its correlations with the basic hypotheses and assumptions of the mathematical theory are discussed. The derivations are completely general and rigorous for an aggregate of elastically isotropic homogeneous crystals. The method of calculation of the slip field satisfies the conditions of equilibrium, compatibility, and the given single crystal characteristics, and hence, is rigorous. It has been seen that there are many correlations between the physical theory and the mathematical theories of plasticity. It seems likely that in the not too distant future, the physical theory may be used to yield a more accurate stress-strain relationship in the analyses of structure.
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