Abstract
1. Due to the marked effect of stress state type on material strength and ductility characteristics an effective method of avoiding it during tests under complex loading conditions may be the use of a modified vector space. If the loading path is prescribed in the stress space, then an imperative requirement in using the modified vector space is constancy of R for all plastic deformation paths. 2. Plastic deformation along a complex loading path with constant curvature is accompanied by a reduction in material strength properties by comparison with this case under simple loading. A relationship has been proposed $$(\sigma _i )_{\chi _\rho } = F(\smallint d\varepsilon _{i_\rho } )\exp ( - A\chi _\rho ),$$ making it possible to consider the effect of loading path curvature and thus to carry out for a given form of complex loading precise calculations for structural elements using the data of a simple test with uniaxial tension.
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