On a representation of an elastic potential in A. A. Il’yushin’s generalized strain spaceстатья
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Аннотация:For elastic isotropic materials under finite strains, we consider an elastic potential in the form of a function of invariants of the Hencky logarithmic strain measure. For such a potential, we propose a representation in A. A. Il’yushin’s generalized strain space. This representation is used to construct an approximation to the elastic potential for incompressiblematerials; this approximation permits exactly describing the stress-strain, compression, and pure shear diagrams.